From 364b10da753cae6d3f8afcb0ae8e78d6df365a0f Mon Sep 17 00:00:00 2001
From: JustPureH2O <justpureh2o@outlook.com>
Date: Fri, 16 Feb 2024 08:48:32 +0000
Subject: [PATCH] Site updated: 2024-02-16 08:48:31

---
 404.html                                      | 4147 +++++++++++++
 about/index.html                              | 4083 +++++++++++++
 archives/2023/07/index.html                   | 4296 ++++++++++++++
 archives/2023/10/index.html                   | 4446 ++++++++++++++
 archives/2023/11/index.html                   | 4589 ++++++++++++++
 archives/2023/12/index.html                   | 4366 ++++++++++++++
 archives/2023/index.html                      | 4960 ++++++++++++++++
 archives/2023/page/2/index.html               | 4305 ++++++++++++++
 archives/2024/01/index.html                   | 4303 ++++++++++++++
 archives/2024/02/index.html                   | 4512 ++++++++++++++
 archives/2024/index.html                      | 4587 ++++++++++++++
 archives/index.html                           | 4478 ++++++++++++++
 archives/page/2/index.html                    | 4478 ++++++++++++++
 biography-to-frc-delivery/index.html          | 4368 ++++++++++++++
 categories/index.html                         | 4045 +++++++++++++
 common-algo-templates/index.html              | 4626 +++++++++++++++
 css/Readme.html                               |   22 +
 css/collapsible.css                           |   60 +
 css/first.styl                                |   25 +
 css/style.styl                                |   13 +
 dcd2023ep1-trailer/index.html                 | 4272 +++++++++++++
 dcdep1-release/index.html                     | 4258 +++++++++++++
 dcdoujin/index.html                           | 4214 +++++++++++++
 fontainish-research/index.html                | 4297 ++++++++++++++
 fonts/HFSnakylines.ttf                        |  Bin 0 -> 98344 bytes
 fonts/HYJiangJun-J.ttf                        |  Bin 0 -> 3298504 bytes
 fonts/JetBrainsMono.ttf                       |  Bin 0 -> 138692 bytes
 friends/index.html                            | 4207 +++++++++++++
 gz-articles/index.html                        | 4275 +++++++++++++
 index.html                                    | 4995 ++++++++++++++++
 journey-to-the-cspj2023/index.html            | 4305 ++++++++++++++
 js/app.js                                     | 1152 ++++
 js/collapsible.js                             |    8 +
 js/plugins/aplayer.js                         |  186 +
 js/plugins/parallax.js                        |  191 +
 js/plugins/rightMenus.js                      |  618 ++
 js/plugins/tags/contributors.js               |   89 +
 js/plugins/tags/friends.js                    |   90 +
 js/plugins/tags/sites.js                      |   93 +
 js/search/algolia.js                          |  235 +
 js/search/hexo.js                             |  193 +
 js/search/meilisearch.js                      |  216 +
 latex-symbols/index.html                      | 4431 ++++++++++++++
 .../index.html                                | 4265 +++++++++++++
 linear-algebra-explicit-tutorial/index.html   | 5056 ++++++++++++++++
 magic-show-with-josephus/index.html           | 4318 ++++++++++++++
 memes/index.html                              | 4221 +++++++++++++
 misc/index.html                               | 4201 +++++++++++++
 new-year-crack/index.html                     | 4616 ++++++++++++++
 number-theory-junior/index.html               | 5285 +++++++++++++++++
 oier-math-senior/index.html                   | 4438 ++++++++++++++
 page/2/index.html                             | 4577 ++++++++++++++
 picinfo/banners/index.html                    | 4224 +++++++++++++
 picinfo/index.html                            | 4174 +++++++++++++
 placeholder                                   |    0
 qexo-deploy/index.html                        | 4326 ++++++++++++++
 tags/CSP-J/index.html                         | 4229 +++++++++++++
 tags/DC-Doujin/index.html                     | 4297 ++++++++++++++
 "tags/DCD\345\220\214\344\272\272/index.html" | 4297 ++++++++++++++
 tags/OI/index.html                            | 4298 ++++++++++++++
 tags/index.html                               | 4046 +++++++++++++
 tags/latex/index.html                         | 4242 +++++++++++++
 tags/qexo/index.html                          | 4226 +++++++++++++
 "tags/\344\274\240\350\256\260/index.html"    | 4225 +++++++++++++
 .../index.html"                               | 4225 +++++++++++++
 "tags/\345\215\232\345\256\242/index.html"    | 4226 +++++++++++++
 "tags/\345\216\237\347\245\236/index.html"    | 4295 ++++++++++++++
 "tags/\345\220\216\347\253\257/index.html"    | 4226 +++++++++++++
 "tags/\345\233\275\347\245\257/index.html"    | 4228 +++++++++++++
 "tags/\345\255\246\346\234\257/index.html"    | 4725 +++++++++++++++
 "tags/\346\220\254\350\277\220/index.html"    | 4225 +++++++++++++
 "tags/\346\225\231\347\250\213/index.html"    | 4300 ++++++++++++++
 "tags/\346\225\260\345\255\246/index.html"    | 4447 ++++++++++++++
 "tags/\346\225\260\350\256\272/index.html"    | 4223 +++++++++++++
 "tags/\346\225\264\346\264\273/index.html"    | 4441 ++++++++++++++
 "tags/\346\226\207\347\253\240/index.html"    | 4228 +++++++++++++
 "tags/\346\226\260\351\227\273/index.html"    | 4297 ++++++++++++++
 "tags/\346\236\253\344\270\271/index.html"    | 4224 +++++++++++++
 "tags/\347\224\237\346\264\273/index.html"    | 4225 +++++++++++++
 "tags/\347\240\264\350\247\243/index.html"    | 4227 +++++++++++++
 "tags/\347\256\227\346\263\225/index.html"    | 4447 ++++++++++++++
 .../index.html"                               | 4229 +++++++++++++
 thanks/index.html                             | 4267 +++++++++++++
 83 files changed, 282300 insertions(+)
 create mode 100644 404.html
 create mode 100644 about/index.html
 create mode 100644 archives/2023/07/index.html
 create mode 100644 archives/2023/10/index.html
 create mode 100644 archives/2023/11/index.html
 create mode 100644 archives/2023/12/index.html
 create mode 100644 archives/2023/index.html
 create mode 100644 archives/2023/page/2/index.html
 create mode 100644 archives/2024/01/index.html
 create mode 100644 archives/2024/02/index.html
 create mode 100644 archives/2024/index.html
 create mode 100644 archives/index.html
 create mode 100644 archives/page/2/index.html
 create mode 100644 biography-to-frc-delivery/index.html
 create mode 100644 categories/index.html
 create mode 100644 common-algo-templates/index.html
 create mode 100644 css/Readme.html
 create mode 100644 css/collapsible.css
 create mode 100644 css/first.styl
 create mode 100644 css/style.styl
 create mode 100644 dcd2023ep1-trailer/index.html
 create mode 100644 dcdep1-release/index.html
 create mode 100644 dcdoujin/index.html
 create mode 100644 fontainish-research/index.html
 create mode 100644 fonts/HFSnakylines.ttf
 create mode 100644 fonts/HYJiangJun-J.ttf
 create mode 100644 fonts/JetBrainsMono.ttf
 create mode 100644 friends/index.html
 create mode 100644 gz-articles/index.html
 create mode 100644 index.html
 create mode 100644 journey-to-the-cspj2023/index.html
 create mode 100644 js/app.js
 create mode 100644 js/collapsible.js
 create mode 100644 js/plugins/aplayer.js
 create mode 100644 js/plugins/parallax.js
 create mode 100644 js/plugins/rightMenus.js
 create mode 100644 js/plugins/tags/contributors.js
 create mode 100644 js/plugins/tags/friends.js
 create mode 100644 js/plugins/tags/sites.js
 create mode 100644 js/search/algolia.js
 create mode 100644 js/search/hexo.js
 create mode 100644 js/search/meilisearch.js
 create mode 100644 latex-symbols/index.html
 create mode 100644 linear-algebra-explicit-tutorial-ii/index.html
 create mode 100644 linear-algebra-explicit-tutorial/index.html
 create mode 100644 magic-show-with-josephus/index.html
 create mode 100644 memes/index.html
 create mode 100644 misc/index.html
 create mode 100644 new-year-crack/index.html
 create mode 100644 number-theory-junior/index.html
 create mode 100644 oier-math-senior/index.html
 create mode 100644 page/2/index.html
 create mode 100644 picinfo/banners/index.html
 create mode 100644 picinfo/index.html
 delete mode 100644 placeholder
 create mode 100644 qexo-deploy/index.html
 create mode 100644 tags/CSP-J/index.html
 create mode 100644 tags/DC-Doujin/index.html
 create mode 100644 "tags/DCD\345\220\214\344\272\272/index.html"
 create mode 100644 tags/OI/index.html
 create mode 100644 tags/index.html
 create mode 100644 tags/latex/index.html
 create mode 100644 tags/qexo/index.html
 create mode 100644 "tags/\344\274\240\350\256\260/index.html"
 create mode 100644 "tags/\345\210\235\344\270\255\345\220\214\345\255\246/index.html"
 create mode 100644 "tags/\345\215\232\345\256\242/index.html"
 create mode 100644 "tags/\345\216\237\347\245\236/index.html"
 create mode 100644 "tags/\345\220\216\347\253\257/index.html"
 create mode 100644 "tags/\345\233\275\347\245\257/index.html"
 create mode 100644 "tags/\345\255\246\346\234\257/index.html"
 create mode 100644 "tags/\346\220\254\350\277\220/index.html"
 create mode 100644 "tags/\346\225\231\347\250\213/index.html"
 create mode 100644 "tags/\346\225\260\345\255\246/index.html"
 create mode 100644 "tags/\346\225\260\350\256\272/index.html"
 create mode 100644 "tags/\346\225\264\346\264\273/index.html"
 create mode 100644 "tags/\346\226\207\347\253\240/index.html"
 create mode 100644 "tags/\346\226\260\351\227\273/index.html"
 create mode 100644 "tags/\346\236\253\344\270\271/index.html"
 create mode 100644 "tags/\347\224\237\346\264\273/index.html"
 create mode 100644 "tags/\347\240\264\350\247\243/index.html"
 create mode 100644 "tags/\347\256\227\346\263\225/index.html"
 create mode 100644 "tags/\350\265\233\345\220\216\346\200\273\347\273\223/index.html"
 create mode 100644 thanks/index.html

diff --git a/404.html b/404.html
new file mode 100644
index 0000000000..721b399d7c
--- /dev/null
+++ b/404.html
@@ -0,0 +1,4147 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,nofollow">
+  <link rel="canonical" href="https://justpureh2o.github.io/404.html"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>404 Not Found - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/404.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="404">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-16T08:47:56.958Z">
+<meta property="article:modified_time" content="2024-02-15T13:10:19.552Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper page dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=' no_sidebar'>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-page" id="page" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/404.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <span hidden itemprop="name headline">
+        
+      </span>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p>404</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
+  
+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
+
+
+
+
+
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"404 Not Found","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/404.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/404.html","wordCount":0,"datePublished":"2024-02-16T08:47:56.958Z","dateModified":"2024-02-15T13:10:19.552Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/about/index.html b/about/index.html
new file mode 100644
index 0000000000..8e54814a4b
--- /dev/null
+++ b/about/index.html
@@ -0,0 +1,4083 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/about/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>关于我 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  <meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/about/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-10-26T16:03:52.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=' no_sidebar'>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-docs" id="docs" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/about/index.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <span hidden itemprop="name headline">
+        
+      </span>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+    
+    <div class='footer'>
+       <!-- 参考资料、相关资料等 -->
+      
+       <!-- 相关文章 -->
+      
+      <!-- 版权声明组件 -->
+      
+      <!-- 打赏组件 -->
+      
+    </div>
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
+  
+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
+
+
+
+
+
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"关于我","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/about/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/about/index.html","wordCount":0,"datePublished":"2023-10-26T16:03:52.000Z","dateModified":"2024-02-16T08:47:56.962Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/07/index.html b/archives/2023/07/index.html
new file mode 100644
index 0000000000..d5f93e27d6
--- /dev/null
+++ b/archives/2023/07/index.html
@@ -0,0 +1,4296 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/07/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023/7 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/07/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
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+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
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+    right: 0;
+    bottom: 0;
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+}
+a {
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+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
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+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
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+}
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+}
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+}
+ul,
+ol {
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+}
+ul li,
+ol li {
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+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
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+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
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+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
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+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
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+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
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+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
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+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
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+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2023/7/","name":"7"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/10/index.html b/archives/2023/10/index.html
new file mode 100644
index 0000000000..c3ef044815
--- /dev/null
+++ b/archives/2023/10/index.html
@@ -0,0 +1,4446 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/10/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023/10 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/10/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+		
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-28T14:11:51+00:00">2023-10-28</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/common-algo-templates/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">2023-10-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/gz-articles/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/journey-to-the-cspj2023/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/journey-to-the-cspj2023/">
+        <img itemprop="image" class='headimg' alt="CSP-J 2023 游记" src='https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/journey-to-the-cspj2023/"  itemprop="url">
+        CSP-J 2023 游记
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。
+       然...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-24T16:21:36+00:00">2023-10-24</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/journey-to-the-cspj2023/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+	
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
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+  
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+  
+    
+    
+      
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+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
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+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
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+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
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+          active-action="action-archives">
+          
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+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
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+            target="_blank"
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+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
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+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
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+          
+        
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+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
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+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
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+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
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+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
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+            
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+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
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+      
+    
+    <!-- Custom Files footer begin-->
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+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
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+  
+
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+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
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+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
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+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
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+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
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+  </li>
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+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2023/10/","name":"10"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/11/index.html b/archives/2023/11/index.html
new file mode 100644
index 0000000000..7489ba28b1
--- /dev/null
+++ b/archives/2023/11/index.html
@@ -0,0 +1,4589 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/11/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023/11 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/11/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
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+              
+              active-action="action-mailto:justpureh2o@outlookcom">
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+  
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+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
+      
+    
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+  
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+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/number-theory-junior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/thanks/">
+        <img itemprop="image" class='headimg' alt="一命已出，前来还愿" src='https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/thanks/"  itemprop="url">
+        一命已出，前来还愿
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+2023.11.11 21:10
+
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:42:41+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/thanks/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/latex-symbols/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
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+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/latex-symbols/"  itemprop="url">
+        Latex常用符号大全
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt[N]{ABC}
+乘方/N次幂：
+A^N
+下标： A_N
+分数：
+\frac{A}{B}
+等于号：，键盘上有
+约等号：
+\approx 加粗 
+\thickapprox
+不等号：
+\neq
+恒等号/定...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
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+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:23:35+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/latex-symbols/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
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+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
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+
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+        
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+    <meta itemprop="description" content="JustPureH2O的小窝">
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+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
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+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
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+  
+</div>
+
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+        
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+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2023/11/","name":"11"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/12/index.html b/archives/2023/12/index.html
new file mode 100644
index 0000000000..0f64a4c83e
--- /dev/null
+++ b/archives/2023/12/index.html
@@ -0,0 +1,4366 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/12/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023/12 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/12/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
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+      
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+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
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+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
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+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
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+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
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+}
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+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+		
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
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+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
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+</div>
+
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+        
+      
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
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+    <meta itemprop="description" content="JustPureH2O的小窝">
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+  
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+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
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+        
+      
+    
+  </section>
+  
+    
+  
+
+
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+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
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+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
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+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
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+          active-action="action-archives">
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+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
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+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
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+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
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+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
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+<script>
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+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
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+<!-- required -->
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+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
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+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
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+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
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+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
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+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
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+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
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+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
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+
+
+
+  <li class="menuLoad-Content">
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+      站内搜索
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+
+
+
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+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
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+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
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+
+
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+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
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+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
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+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
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+
+
+
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+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2023/12/","name":"12"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/index.html b/archives/2023/index.html
new file mode 100644
index 0000000000..52a81b1fff
--- /dev/null
+++ b/archives/2023/index.html
@@ -0,0 +1,4960 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+    }
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+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
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+  display: inline-flex;
+}
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+  cursor: pointer;
+}
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+}
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+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
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+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+		
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/number-theory-junior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/number-theory-junior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/thanks/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/thanks/">
+        <img itemprop="image" class='headimg' alt="一命已出，前来还愿" src='https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/thanks/"  itemprop="url">
+        一命已出，前来还愿
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+2023.11.11 21:10
+
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:42:41+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/thanks/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/latex-symbols/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/latex-symbols/"  itemprop="url">
+        Latex常用符号大全
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt[N]{ABC}
+乘方/N次幂：
+A^N
+下标： A_N
+分数：
+\frac{A}{B}
+等于号：，键盘上有
+约等号：
+\approx 加粗 
+\thickapprox
+不等号：
+\neq
+恒等号/定...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:23:35+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/latex-symbols/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-28T14:11:51+00:00">2023-10-28</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/common-algo-templates/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">2023-10-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/gz-articles/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/journey-to-the-cspj2023/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/journey-to-the-cspj2023/">
+        <img itemprop="image" class='headimg' alt="CSP-J 2023 游记" src='https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/journey-to-the-cspj2023/"  itemprop="url">
+        CSP-J 2023 游记
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。
+       然...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-24T16:21:36+00:00">2023-10-24</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/journey-to-the-cspj2023/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+      <br>
+      <div class="prev-next">
+        
+        <p class="current">
+          1 / 2
+        </p>
+        
+          <a class="next" rel="next" href="/archives/2023/page/2/">
+            <section class="post next white-box shadow floatable blur">
+              &nbsp;Next&nbsp;<i class="fa-solid fa-chevron-right" aria-hidden="true"></i>
+            </section>
+          </a>
+        
+      </div>
+    
+  
+
+
+	
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2023/page/2/index.html b/archives/2023/page/2/index.html
new file mode 100644
index 0000000000..123ee38bf7
--- /dev/null
+++ b/archives/2023/page/2/index.html
@@ -0,0 +1,4305 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2023/page/2/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2023 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2023/page/2/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
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+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2023/","name":"2023"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2024/01/index.html b/archives/2024/01/index.html
new file mode 100644
index 0000000000..30847d9505
--- /dev/null
+++ b/archives/2024/01/index.html
@@ -0,0 +1,4303 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2024/01/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2024/1 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2024/01/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
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+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
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+  
+  
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+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
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+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
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+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2024/","name":"2024"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2024/1/","name":"1"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2024/02/index.html b/archives/2024/02/index.html
new file mode 100644
index 0000000000..5edc967110
--- /dev/null
+++ b/archives/2024/02/index.html
@@ -0,0 +1,4512 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2024/02/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2024/2 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2024/02/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+      
+        search: {
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+          hits_stats: "${hits} results found in ${time} ms",
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+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
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+  display: inline-flex;
+}
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+}
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+}
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+}
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+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
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+}
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+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
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+
+			<div class='menu navigation'>
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+          
+          
+          
+            
+            
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
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+                  
+                  
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+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
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+                
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+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+		
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
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+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
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+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
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+  
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+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
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+      
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+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
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+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
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+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2024/","name":"2024"}},{"@type":"ListItem","position":4,"item":{"@id":"https://justpureh2o.github.io/archives/2024/2/","name":"2"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/2024/index.html b/archives/2024/index.html
new file mode 100644
index 0000000000..c4b13559f0
--- /dev/null
+++ b/archives/2024/index.html
@@ -0,0 +1,4587 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/2024/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive: 2024 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/2024/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+      
+        search: {
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+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
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+  display: inline-flex;
+}
+p.spoiler {
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+}
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+}
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+}
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+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
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+}
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+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
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+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
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+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
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+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+		
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
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+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
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+  
+    <div class='meta-v3' line_style='solid'>
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+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
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+      
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+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
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+        
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
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+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/magic-show-with-josephus/">
+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
+      
+    
+  </div>
+  
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+        
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+      
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+          <a class='readmore' href='/magic-show-with-josephus/' itemprop="url">
+            Read More
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+        
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+    <meta itemprop="description" content="JustPureH2O的小窝">
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+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
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+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/archives/2024/","name":"2024"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/index.html b/archives/index.html
new file mode 100644
index 0000000000..509110ebef
--- /dev/null
+++ b/archives/index.html
@@ -0,0 +1,4478 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
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+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+	  <article id="arc" class="post article white-box reveal shadow floatable blur">
+			
+			
+				
+				
+					
+						
+						<h2>2024</h2>
+					
+						<div class='timenode'>
+								<a class="meta" href="/qexo-deploy/">
+									<time>02-15</time>
+									
+										Hexo云后台——Qexo搭建教程
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/oier-math-senior/">
+									<time>02-14</time>
+									
+										信息竞赛 高级数学
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/linear-algebra-explicit-tutorial-ii/">
+									<time>02-12</time>
+									
+										线性代数 简明教程 二
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/magic-show-with-josephus/">
+									<time>02-10</time>
+									
+										约瑟夫环——春晚魔术表演原理解析
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/linear-algebra-explicit-tutorial/">
+									<time>01-21</time>
+									
+										线性代数 简明教程 一
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						
+						<h2>2023</h2>
+					
+						<div class='timenode'>
+								<a class="meta" href="/new-year-crack/">
+									<time>12-31</time>
+									
+										2023年度总结——机房管理软件的破解经验
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/dcdep1-release/">
+									<time>12-03</time>
+									
+										DC Doujin 2023 EP1 一触即发正式发布
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/number-theory-junior/">
+									<time>11-26</time>
+									
+										信竞初等数论导论
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/thanks/">
+									<time>11-12</time>
+									
+										一命已出，前来还愿
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/latex-symbols/">
+									<time>11-12</time>
+									
+										Latex常用符号大全
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/dcd2023ep1-trailer/">
+									<time>11-05</time>
+									
+										DC Doujin 2023 EP1 先行预告
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/fontainish-research/">
+									<time>11-05</time>
+									
+										《原神》枫丹语言考究
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/common-algo-templates/">
+									<time>10-28</time>
+									
+										常用算法模板
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/gz-articles/">
+									<time>10-26</time>
+									
+										国祯文集
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/journey-to-the-cspj2023/">
+									<time>10-24</time>
+									
+										CSP-J 2023 游记
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/biography-to-frc-delivery/">
+									<time>07-29</time>
+									
+										人物传记·FRC（搬运）
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+	  </article>
+	
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/archives/page/2/index.html b/archives/page/2/index.html
new file mode 100644
index 0000000000..13882e17de
--- /dev/null
+++ b/archives/page/2/index.html
@@ -0,0 +1,4478 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/archives/page/2/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Archive - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/archives/page/2/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='half'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+	
+	  <article id="arc" class="post article white-box reveal shadow floatable blur">
+			
+			
+				
+				
+					
+						
+						<h2>2024</h2>
+					
+						<div class='timenode'>
+								<a class="meta" href="/qexo-deploy/">
+									<time>02-15</time>
+									
+										Hexo云后台——Qexo搭建教程
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/oier-math-senior/">
+									<time>02-14</time>
+									
+										信息竞赛 高级数学
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/linear-algebra-explicit-tutorial-ii/">
+									<time>02-12</time>
+									
+										线性代数 简明教程 二
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/magic-show-with-josephus/">
+									<time>02-10</time>
+									
+										约瑟夫环——春晚魔术表演原理解析
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/linear-algebra-explicit-tutorial/">
+									<time>01-21</time>
+									
+										线性代数 简明教程 一
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						
+						<h2>2023</h2>
+					
+						<div class='timenode'>
+								<a class="meta" href="/new-year-crack/">
+									<time>12-31</time>
+									
+										2023年度总结——机房管理软件的破解经验
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/dcdep1-release/">
+									<time>12-03</time>
+									
+										DC Doujin 2023 EP1 一触即发正式发布
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/number-theory-junior/">
+									<time>11-26</time>
+									
+										信竞初等数论导论
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/thanks/">
+									<time>11-12</time>
+									
+										一命已出，前来还愿
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/latex-symbols/">
+									<time>11-12</time>
+									
+										Latex常用符号大全
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/dcd2023ep1-trailer/">
+									<time>11-05</time>
+									
+										DC Doujin 2023 EP1 先行预告
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/fontainish-research/">
+									<time>11-05</time>
+									
+										《原神》枫丹语言考究
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/common-algo-templates/">
+									<time>10-28</time>
+									
+										常用算法模板
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/gz-articles/">
+									<time>10-26</time>
+									
+										国祯文集
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/journey-to-the-cspj2023/">
+									<time>10-24</time>
+									
+										CSP-J 2023 游记
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+				
+				
+					
+						<div class='timenode'>
+								<a class="meta" href="/biography-to-frc-delivery/">
+									<time>07-29</time>
+									
+										人物传记·FRC（搬运）
+									
+									
+									
+									
+								</a>
+						</div>
+				
+			
+	  </article>
+	
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/archives/","name":"Archive"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/biography-to-frc-delivery/index.html b/biography-to-frc-delivery/index.html
new file mode 100644
index 0000000000..801bdec687
--- /dev/null
+++ b/biography-to-frc-delivery/index.html
@@ -0,0 +1,4368 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/biography-to-frc-delivery/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
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+  <title>人物传记·FRC（搬运） - JustPureH2O的博客</title>
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+<meta property="og:title" content="人物传记·FRC（搬运）">
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+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="本文转载自：【F444 の 光荣历史•其二】人物传记·FRC 作者：Lucas2011 一、简介 曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证据真的">
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+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
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+      <h1 class="title" itemprop="name headline">
+        人物传记·FRC（搬运）
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-07-29T21:17:19+00:00">
+  <a class='notlink'>
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+    <p>发布于：Jul 29, 2023</p>
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+    <p><strong>本文转载自：<a target="_blank" rel="noopener" href="http://puhongyi.net:81/WordPress/2023/07/29/6t7v7e32589nusa78vt">【F444
+の 光荣历史•其二】人物传记·FRC</a></strong>
+<strong>作者：Lucas2011</strong></p>
+<h3 id="一简介">一、简介</h3>
+<p>曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证据真的很难找awa）。特别喜欢讲故事，经常编一些东西以假乱真，甚至到了剩下的5个人异口同声的问他“真的吗？”这种地步。</p>
+<h3 id="二外号来源">二、外号来源</h3>
+<p>FRC又知名为天皇陛下，冯进村等等（反正都是从“日本天皇”衍生出来的）。那么这个外号是从哪里来的呢？据传说<del>(主要大家基本都快忘了，经过讨论认定了这个最终版本)</del>，一次中午回寝，大家在激烈的讨论历史课上刚刚讲的日本明治维新相关的内容，FRC为了让大家认真的听他的观点，就说“我是天皇陛下…”，于是这个外号就传开了。<del>四舍五入这个外号是他自己取的</del></p>
+<h3 id="三关于学习">三、关于学习</h3>
+<p>相信不用我多说了，能进七林九班的都不是什么善茬。但是我还是附上一次8年级（大概）的月考成绩图：</p>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/IMG_0527.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/IMG_0527.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="月考成绩图">
+<figcaption aria-hidden="true">月考成绩图</figcaption>
+</figure>
+<p>∆天皇稳居第一，高第二名十多分</p>
+<p>除了学习，其实我更想说的是他的批判性思维。这一点可能和其他寝室不同，我们寝室常常谈论一些时政内容或者类似的需要表达自己的观点并证明的内容。在这样的环境下，小蝴蝶、我、天皇和其他公民（ffy经常偷听我们聊天但是不说话，sbffy）都能有一套自己的论证思路并相互交融，我不认为这对逻辑思维能力的发展没有帮助。</p>
+<h3 id="四关于游戏">四、关于游戏</h3>
+<p>分成两个部分吧，原和Minecraft。</p>
+<h4 id="原神">原神</h4>
+<p>应该是初三下学期才入的坑，算比较晚的。他入坑在我看来应该是被逼无奈，实在和他的好朋友们没有共同话题才入的坑。但是他入坑后特别肝，现在应该55级了吧（思考）</p>
+<p>由于他B我官（他B服，我官服，我们两个之间已经隔了一道厚障壁力（悲），所以基本没怎么联过机，但是后来他朋友送了他一个官服号，就和我玩过一两次（主要O是养成类游戏，那个号上什么也没有）。</p>
+<p>他狂热地厨纳西妲，所以就在这里放两张纳西妲的游戏截图吧（太随性了awa）：</p>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/de5fb3878b6b27d8e2e717.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/de5fb3878b6b27d8e2e717.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="1">
+<figcaption aria-hidden="true">1</figcaption>
+</figure>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/a092dd189e238974b8ed60.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/a092dd189e238974b8ed60.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="2">
+<figcaption aria-hidden="true">2</figcaption>
+</figure>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/96d4fd3cb86a879c213869ef8b9db3a2.jpeg" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/96d4fd3cb86a879c213869ef8b9db3a2.jpeg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="3">
+<figcaption aria-hidden="true">3</figcaption>
+</figure>
+<p>∆这个应该是他草神的面板（翻了10分钟聊天记录才找到qwq</p>
+<h4 id="minecraft">Minecraft</h4>
+<p>自从我认识他（在军训的时候）他就玩mc，还记得当时我们因为2个木板合成几个木棍而吵架（他说“两个木板合成两个木棍”，我说是4个，事后他便获得了“cloud
+player”这个称号，不过现在已经没什么人喊了）。</p>
+<p>和他在信息技术课上（常规课和社团课）玩过1.12匠魂，1.18原版和空岛，1.18.2匠魂等等（甚至为了这个去学了C++并考了校队，走上一条OI不归路</p>
+<p>他记忆力很好，所有模组相关的合成表我都直接问他，像什么《匠魂宝典》都是他读，读完了就把有用的属性提炼出来给我说。</p>
+<p>当然，我主要负责生电和指令嘛（撅嘴</p>
+<p>下面是一些游戏截图：</p>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2022-06-09_17.37.10.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2022-06-09_17.37.10.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="4">
+<figcaption aria-hidden="true">4</figcaption>
+</figure>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2023-07-23_20.24.58.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2023-07-23_20.24.58.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="5">
+<figcaption aria-hidden="true">5</figcaption>
+</figure>
+<figure>
+<img src="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2022-04-15_14.46.47.png" class="lazyload" data-srcset="http://puhongyi.net:81/WordPress/wp-content/uploads/2023/07/2022-04-15_14.46.47.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="6">
+<figcaption aria-hidden="true">6</figcaption>
+</figure>
+<p>∆这些都是匠魂的存档，空岛的没怎么截图</p>
+<h3 id="五自述">五、自述</h3>
+<p>由于天皇现在在七林扫荡，找不到他人，所以这个部分先咕掉(*≧ω≦)</p>
+<p>当然，天皇是不会被放过的（早柚音</p>
+<h3 id="六他人刻画">六、他人刻画</h3>
+<p>这个部分应该是最精彩的部分（确信</p>
+<hr>
+<p>
+<p>天皇为什么叫天皇我也不知道，开始他看起来比较可爱但后面就越来越猥琐，有着非常智慧的大脑，比较喜欢理性分析问题，然后感性处理问题（指看心情），好玩做事比较冲动喜欢玄学，求知欲旺，又不的问题，一定会细心请教不是不擅长运动比较懒惰，口才很好喜欢讲故事，有点贪睡眠质量良好呼噜声特别大特别情况下被刺激会暴怒。</p>
+<hr>
+<p>
+<p>冯氏、本名瑞辰。传闻天地初开之时，天下五分，雷占其四而天皇独占其一，是为一人之下，万人之上矣。遂有天皇之名（语出《sl经典语录》）数学之王（官方限定）在数学方面卓有天赋。为人和善。<del>初极狭，才通人</del>。口才极佳，善于讲故事。<del>京中有善口技者</del>，为寝室建设作出卓越贡献，但会在晚上使用声波武器，对寝室成员们进行精神攻击0.o</p>
+<hr>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<blockquote>
+<p>这个事件后面会讲（应该</p>
+</blockquote>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<p>
+<blockquote>
+<p>不可避免的偏题了qwq</p>
+</blockquote>
+<p>总之感觉就是比我nb但是心术大不正（离谱
+的那种学神</p>
+<p>
+<blockquote>
+<p>话题莫名其妙的回来了awa</p>
+</blockquote>
+<hr>
+<p>
+<p>天皇陛下，不知道为什么，每次看到他抱着自己家的柴犬的照片时，总有一种兄弟情深的感觉。</p>
+<p>感觉他严肃正经起来很有学霸的气息，但是一旦下了课，我总能在校围栏旁的草丛附近发现他的身影。</p>
+<p>尤其喜爱捉某些昆虫（指蝴蝶），采摘水果（指东辰的桃子和杏），能夹，yin叫起来比大部分人（除开胡睿杰）更像女的。</p>
+<p>自从他脸上受伤留下一道光荣印记以来，他的笑容比之前猥琐了指数倍。</p>
+<p>但是对于他的智力，无可置疑的是他确实实力无限，他和那些闷头整天坐在教室里学习的娃的最大区别就是：他深谙劳逸结合的重要性，平时也会和同学打成一片，尤其喜欢叫外号，据个人无数据的不完全统计——他最钟爱的外号包括guozhen、sb飞飞鱼、小蝴蝶、草绿等。</p>
+<hr>
+<p>
+<blockquote>
+<p>不知道怎么请到的神奇人物</p>
+</blockquote>
+<p>就看起来傻不拉叽，但十分聪明的一个人。奇奇怪怪，但很喜欢作为上课的气氛担当。就是说至于用书签削学校的转基因农作物，抓些小虫养在教室这种行为，我的评价是👍。讲真的，聪明人还是聪明人，还是有亿点离谱的。</p>
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+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/biography-to-frc-delivery/","name":"人物传记·FRC（搬运）"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"人物传记·FRC（搬运）","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/biography-to-frc-delivery/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/biography-to-frc-delivery/","wordCount":0,"datePublished":"2023-07-29T21:17:19.000Z","dateModified":"2024-02-16T08:47:56.958Z","keywords":"生活,传记,初中同学,搬运,整活","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/categories/index.html b/categories/index.html
new file mode 100644
index 0000000000..644cb3e02e
--- /dev/null
+++ b/categories/index.html
@@ -0,0 +1,4045 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/categories/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>所有分类 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  <meta property="og:type" content="website">
+<meta property="og:title" content="所有分类">
+<meta property="og:url" content="https://justpureh2o.github.io/categories/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      <div class='post-wrapper'>
+        <article id="cat" class="post article white-box reveal shadow floatable blur">
+          <h2>所有分类</h2>
+          <div class="all-cats">
+            
+          </div>
+          <br>
+          
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+        </article>
+      </div>
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+    
+    
+      
+    
+  
+
+
+<div class="widget-sticky">
+
+  
+  
+
+
+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      
+  </div>
+</section>
+
+  
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"所有分类","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/categories/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/categories/index.html","wordCount":0,"datePublished":"2024-02-16T08:47:56.962Z","dateModified":"2024-02-16T08:47:56.962Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/common-algo-templates/index.html b/common-algo-templates/index.html
new file mode 100644
index 0000000000..6dcd5bec63
--- /dev/null
+++ b/common-algo-templates/index.html
@@ -0,0 +1,4626 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/common-algo-templates/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>常用算法模板 - JustPureH2O的博客</title>
+  <meta name="keywords" content="算法,学术,OI,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="常用算法模板">
+<meta property="og:url" content="https://justpureh2o.github.io/common-algo-templates/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="1. Trie树（字典树） #include &lt;bits&#x2F;stdc++.h&gt; #define N 10010 using namespace std;  int son[N][70], idx &#x3D; 0, cnt[N];  int map(char c) { 	&#x2F;&#x2F; 字符映射到对应数字 	if (c &gt;&#x3D; &#39;0&#39; &amp;&amp; c &lt;&#x3D; &#39;9&#39;) return c -">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-10-28T14:11:51.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="算法">
+<meta property="article:tag" content="学术">
+<meta property="article:tag" content="OI">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        常用算法模板
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-10-28T14:11:51+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Oct 28, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <div class="story post-story"><h2 id="trie树字典树">1. Trie树（字典树）</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> son<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">70</span><span class="token punctuation">]</span><span class="token punctuation">,</span> idx <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">,</span> cnt<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">map</span><span class="token punctuation">(</span><span class="token keyword">char</span> c<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 字符映射到对应数字</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>c <span class="token operator">&gt;=</span> <span class="token char">'0'</span> <span class="token operator">&amp;&amp;</span> c <span class="token operator">&lt;=</span> <span class="token char">'9'</span><span class="token punctuation">)</span> <span class="token keyword">return</span> c <span class="token operator">-</span> <span class="token char">'0'</span><span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>c <span class="token operator">&gt;=</span> <span class="token char">'a'</span> <span class="token operator">&amp;&amp;</span> c <span class="token operator">&lt;=</span> <span class="token char">'z'</span><span class="token punctuation">)</span> <span class="token keyword">return</span> c <span class="token operator">-</span> <span class="token char">'a'</span> <span class="token operator">+</span> <span class="token number">11</span><span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>c <span class="token operator">&gt;=</span> <span class="token char">'A'</span> <span class="token operator">&amp;&amp;</span> c <span class="token operator">&lt;=</span> <span class="token char">'Z'</span><span class="token punctuation">)</span> <span class="token keyword">return</span> c <span class="token operator">-</span> <span class="token char">'A'</span> <span class="token operator">+</span> <span class="token number">37</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">void</span> <span class="token function">insert</span><span class="token punctuation">(</span><span class="token keyword">char</span> s<span class="token punctuation">[</span><span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 插入一个字符串 </span>
+	<span class="token keyword">int</span> len <span class="token operator">=</span> <span class="token function">strlen</span><span class="token punctuation">(</span>s<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> p <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> <span class="token comment">// 指针 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> len<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// 遍历字符串中每一个字符</span>
+		<span class="token keyword">int</span> u <span class="token operator">=</span> <span class="token function">map</span><span class="token punctuation">(</span>s<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 映射到数字</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span><span class="token punctuation">)</span> son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token operator">++</span>idx<span class="token punctuation">;</span>
+		p <span class="token operator">=</span> son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span> <span class="token comment">// 更新指针，指向下一个节点 </span>
+	<span class="token punctuation">}</span>
+	cnt<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token operator">++</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">bool</span> <span class="token function">query</span><span class="token punctuation">(</span><span class="token keyword">char</span> s<span class="token punctuation">[</span><span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 查询一个字符串 </span>
+	<span class="token keyword">int</span> len <span class="token operator">=</span> <span class="token function">strlen</span><span class="token punctuation">(</span>s<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> p <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> len<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// 遍历+查找</span>
+		<span class="token keyword">int</span> u <span class="token operator">=</span> <span class="token function">map</span><span class="token punctuation">(</span>s<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span><span class="token punctuation">)</span> p <span class="token operator">=</span> son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token keyword">else</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> cnt<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">count</span><span class="token punctuation">(</span><span class="token keyword">char</span> s<span class="token punctuation">[</span><span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 对指定字符串计数 </span>
+	<span class="token keyword">int</span> len <span class="token operator">=</span> <span class="token function">strlen</span><span class="token punctuation">(</span>s<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> p <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token comment">// 可以用 if (query(s)) 代替下边的遍历查找 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> len<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">int</span> u <span class="token operator">=</span> <span class="token function">map</span><span class="token punctuation">(</span>s<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span><span class="token punctuation">)</span> p <span class="token operator">=</span> son<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">[</span>u<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token keyword">else</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> cnt<span class="token punctuation">[</span>p<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="并查集">并查集</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> p<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">find</span><span class="token punctuation">(</span><span class="token keyword">int</span> x<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 查找父节点+路径压缩 </span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>x<span class="token punctuation">]</span> <span class="token operator">!=</span> x<span class="token punctuation">)</span> p<span class="token punctuation">[</span>x<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">find</span><span class="token punctuation">(</span>p<span class="token punctuation">[</span>x<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> p<span class="token punctuation">[</span>x<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">void</span> <span class="token function">merge</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 合并两个集合 </span>
+	p<span class="token punctuation">[</span><span class="token function">find</span><span class="token punctuation">(</span>a<span class="token punctuation">)</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">find</span><span class="token punctuation">(</span>b<span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">bool</span> <span class="token function">query</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 查询两个节点是否在同一个集合中 </span>
+	<span class="token keyword">return</span> <span class="token function">find</span><span class="token punctuation">(</span>a<span class="token punctuation">)</span> <span class="token operator">==</span> <span class="token function">find</span><span class="token punctuation">(</span>b<span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="单调队列">单调队列</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span> 
+
+<span class="token keyword">struct</span> <span class="token class-name">Node</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> idx<span class="token punctuation">;</span> <span class="token comment">// 下标 </span>
+	<span class="token keyword">int</span> val<span class="token punctuation">;</span> <span class="token comment">// 数值 </span>
+<span class="token punctuation">}</span> nodes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+deque<span class="token operator">&lt;</span>Node<span class="token operator">&gt;</span> q<span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">peak</span><span class="token punctuation">(</span><span class="token keyword">int</span> k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 查找区间最值，n为数组大小，k为区间大小，即区间中有k个元素</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> N<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// while (!q.empty() &amp;&amp; nodes[i].val &lt;= q.back().val) q.pop_back(); // 查找区间最小值，将大于号改为小于号 </span>
+		<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span>q<span class="token punctuation">.</span><span class="token function">empty</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token operator">&amp;&amp;</span> nodes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span>val <span class="token operator">&gt;=</span> q<span class="token punctuation">.</span><span class="token function">back</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">.</span>val<span class="token punctuation">)</span> q<span class="token punctuation">.</span><span class="token function">pop_back</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 当新进元素大于队尾元素，删除队尾直到队尾大于新元素，或者直到队列为空 </span>
+		q<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span>nodes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 将新进元素压入队尾 </span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">-</span> q<span class="token punctuation">.</span><span class="token function">front</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">.</span>idx <span class="token operator">==</span> k<span class="token punctuation">)</span> q<span class="token punctuation">.</span><span class="token function">pop_front</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 滑出队头元素所在区间，弹出队头 </span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">&gt;=</span> k<span class="token punctuation">)</span> cout<span class="token operator">&lt;&lt;</span>q<span class="token punctuation">.</span><span class="token function">front</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">.</span>val<span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="单调栈">单调栈</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span> 
+
+<span class="token keyword">struct</span> <span class="token class-name">Node</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> idx<span class="token punctuation">;</span> <span class="token comment">// 下标 </span>
+	<span class="token keyword">int</span> val<span class="token punctuation">;</span> <span class="token comment">// 数值 </span>
+<span class="token punctuation">}</span> nodes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+stack<span class="token operator">&lt;</span>Node<span class="token operator">&gt;</span> stk<span class="token punctuation">;</span>
+<span class="token keyword">int</span> ans<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">NGE</span><span class="token punctuation">(</span><span class="token keyword">int</span> k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 查找下一个更大的元素，即NGE问题 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> N<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// while (!stk.empty() &amp;&amp; nodes[i].val &lt; stk.back().val) // NSE问题，下一个更小的元素，仅改变大于小于号 </span>
+		<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span>stk<span class="token punctuation">.</span><span class="token function">empty</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token operator">&amp;&amp;</span> nodes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span>val <span class="token operator">&gt;</span> stk<span class="token punctuation">.</span><span class="token function">top</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">.</span>val<span class="token punctuation">)</span> stk<span class="token punctuation">.</span><span class="token function">pop</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 将栈顶比当前更小的元素弹出 </span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>stk<span class="token punctuation">.</span><span class="token function">empty</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span> ans<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> <span class="token comment">// 查无 </span>
+		<span class="token keyword">else</span> ans<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> s<span class="token punctuation">.</span><span class="token function">top</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 顶为最大 </span>
+		stk<span class="token punctuation">.</span><span class="token function">push</span><span class="token punctuation">(</span>nodes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 压入当前 </span>
+	<span class="token punctuation">}</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="单源最短路径-朴素dijkstra">单源最短路径      朴素Dijkstra</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">INF</span> <span class="token expression"><span class="token number">0x3f3f3f3f</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token comment">// 对于稠密图，使用邻接矩阵存图</span>
+<span class="token keyword">int</span> g<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> dist<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> n<span class="token punctuation">;</span>
+ 
+<span class="token keyword">void</span> <span class="token function">dijkstra</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token function">memset</span><span class="token punctuation">(</span>dist<span class="token punctuation">,</span> INF<span class="token punctuation">,</span> <span class="token keyword">sizeof</span> dist<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 初始化距离，开始时均为正无穷，或者为-1 </span>
+	
+	dist<span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> <span class="token comment">// 起点最短路径就是0 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">int</span> t <span class="token operator">=</span> <span class="token operator">-</span><span class="token number">1</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>st<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&amp;&amp;</span> <span class="token punctuation">(</span>t <span class="token operator">==</span> <span class="token operator">-</span><span class="token number">1</span> <span class="token operator">||</span> dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&lt;</span> dist<span class="token punctuation">[</span>t<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">)</span> t <span class="token operator">=</span> j<span class="token punctuation">;</span> <span class="token comment">// 循环所有未确定距离的点，找出最小值 </span>
+		<span class="token punctuation">}</span>
+		
+		st<span class="token punctuation">[</span>t<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span> <span class="token comment">// 标记访问 </span>
+		
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">min</span><span class="token punctuation">(</span>dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">,</span> dist<span class="token punctuation">[</span>t<span class="token punctuation">]</span> <span class="token operator">+</span> g<span class="token punctuation">[</span>t<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 间接的路径：从起点经t再连接到j点 </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="单源最短路径-堆优化dijkstra">单源最短路径      堆优化Dijkstra</h2>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">INF</span> <span class="token expression"><span class="token number">0x3f3f3f3f</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token comment">// 对于稀疏图，使用接表存图</span>
+<span class="token keyword">int</span> head<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> e<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> w<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> ne<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> idx <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">add</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">,</span> <span class="token keyword">int</span> x<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	idx<span class="token operator">++</span><span class="token punctuation">;</span>
+	e<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> b<span class="token punctuation">;</span>
+	w<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> x<span class="token punctuation">;</span>
+	ne<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> head<span class="token punctuation">[</span>a<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	head<span class="token punctuation">[</span>a<span class="token punctuation">]</span> <span class="token operator">=</span> idx<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> dist<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> n<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> pair<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token punctuation">,</span> <span class="token keyword">int</span><span class="token operator">&gt;</span> PIR<span class="token punctuation">;</span> <span class="token comment">// 二元组存储点序号-距离 </span>
+priority_queue<span class="token operator">&lt;</span>PIR<span class="token punctuation">,</span> vector<span class="token operator">&lt;</span>PIR<span class="token operator">&gt;</span><span class="token punctuation">,</span> greater<span class="token operator">&lt;</span>PIR<span class="token operator">&gt;</span> <span class="token operator">&gt;</span> heap<span class="token punctuation">;</span>
+ 
+<span class="token keyword">void</span> <span class="token function">dijkstra</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token function">memset</span><span class="token punctuation">(</span>dist<span class="token punctuation">,</span> INF<span class="token punctuation">,</span> <span class="token keyword">sizeof</span> dist<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 初始化距离，开始时均为正无穷，或者为-1 </span>
+	heap<span class="token punctuation">.</span><span class="token function">push</span><span class="token punctuation">(</span><span class="token punctuation">(</span>PIR<span class="token punctuation">)</span> <span class="token punctuation">{</span><span class="token number">1</span><span class="token punctuation">,</span> <span class="token number">0</span><span class="token punctuation">}</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 初始点入队，序号为1距离为0 </span>
+
+	<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span>heap<span class="token punctuation">.</span><span class="token function">empty</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token punctuation">{</span> <span class="token comment">// 堆不空时 </span>
+		PIR t <span class="token operator">=</span> heap<span class="token punctuation">.</span><span class="token function">top</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 优先队列，队头元素总为未确定点中最近的一个 </span>
+		<span class="token keyword">int</span> id <span class="token operator">=</span> t<span class="token punctuation">.</span>first<span class="token punctuation">,</span> dis <span class="token operator">=</span> t<span class="token punctuation">.</span>second<span class="token punctuation">;</span>  
+		
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>st<span class="token punctuation">[</span>id<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token keyword">continue</span><span class="token punctuation">;</span>  
+		
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> head<span class="token punctuation">[</span>id<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token operator">~</span>i<span class="token punctuation">;</span> i <span class="token operator">=</span> ne<span class="token punctuation">[</span>idx<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">int</span> j <span class="token operator">=</span> e<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 边终点 </span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&gt;</span> dis <span class="token operator">+</span> w<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> dis <span class="token operator">+</span> w<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 更新最短距离 </span>
+				heap<span class="token punctuation">.</span><span class="token function">push</span><span class="token punctuation">(</span><span class="token punctuation">(</span>PIR<span class="token punctuation">)</span> <span class="token punctuation">{</span>j<span class="token punctuation">,</span> dist<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">}</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 更新的点压入优先队列 </span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+</div><div class="story post-story"><h2 id="背包类动态规划-01背包">背包类动态规划      01背包</h2>
+<p>想象你在一个绝版手办售卖会上。这里的每种手办由于需要保证它的稀有程度，活动主办方提前向卖家商议了一个计策：即保证每种<del>老婆</del>
+手办有且只能有一个。这样他们就可以开出天价
+<del>（但要保证在物价局划定的价格上限内）</del> （爆long
+long也没问题！）。那么作为一个资深 <del>御宅</del>
+手办收藏家的你，自然不会错过这次难得的机会，你出门时偷偷拿走了麻麻の钱包，发现里面有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>元现金（假定你不知道麻麻の银行卡密码），那么你可以买到手办的最大价值是多少？</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">100010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> w<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> v<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token comment">//  价值  占地  容量上限为N时最大价值 </span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// 对于每个物品，从1到n</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> c<span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 倒着循环，c为容量上限，防止做减法时减为负数内存异常 </span>
+			dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>j <span class="token operator">-</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">+</span> w<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+			<span class="token comment">// 状态递推（一维压缩）</span>
+			<span class="token comment">// 若不选该物品，则状态的剩余容量仍然为j，若选择则为j-v[i]，相应的需要加上物品价值 </span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+	cout<span class="token operator">&lt;&lt;</span>dp<span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>但是最后还是被麻麻发现力（悲</p>
+</div><div class="story post-story"><h2 id="背包类动态规划-完全背包">背包类动态规划      完全背包</h2>
+<p>这种问题类似于西方魔幻小说里的情节：一位勇士无意间闯进了古代君王的藏宝阁，受金钱和权力的蛊惑。看着地上不尽的金币与皇冠，他拿出了一个麻袋。他想要在麻袋规定的最大容量内装尽可能最大价值的物品，超出规定容量，这个袋子很可能破掉，导致财宝落入山谷、沼泽等任何危险的地方。这位勇士十分谨慎，他不希望总重量超过额定重量，那么他能装的最大物品价值是多少？</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">100010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> w<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> v<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token comment">//  价值  占地  容量上限为N时最大价值 </span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 完全背包，即每个物品数量有无限个，可以自由装配 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// 对于每个物品，从1到n</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> c<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 正着循环，与01背包相反，c为容量上限</span>
+			<span class="token comment">// 由于计算当前状态需用到dp[j-v[i]]状态，若升序循环，这个状态总会在前几步被算出 </span>
+			dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>j <span class="token operator">-</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">+</span> w<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+			<span class="token comment">// 状态递推（一维压缩）</span>
+			<span class="token comment">// 若不选该物品，则状态的剩余容量仍然为j，若选择则为j-v[i]，相应的需要加上物品价值 </span>
+			<span class="token comment">// dp[i][j] = max(dp[i - 1][j], dp[i][j - v[i]] + w[i])</span>
+			<span class="token comment">// 若不选择当前物品，最大价值为dp[i-1][j]，即前一个/i-1个物品，容量上限为j (j&lt;=c)时的最大价值</span>
+			<span class="token comment">// 若选择当前物品，最大价值为dp[i][j-v[i]]+w[i]，因为每种物品可以放入无限个，放入第i个物品后仍然可以继续放入相同物品直到超出容量上限j </span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+	cout<span class="token operator">&lt;&lt;</span>dp<span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>然而我们的勇士痴迷于装入财宝，忽视了高悬在他头顶的致命机关，随着绳子断裂，我们的勇士就此葬身于这个隐蔽的藏宝阁中，带不走任何一枚金币。<del>因此我们的最大价值应该是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span></del>
+因此我们应该拒绝这种来历不明的诱惑，青少年反诈，从我做起！</p>
+</div><div class="story post-story"><h2 id="背包类动态规划-多重背包">背包类动态规划      多重背包</h2>
+<blockquote>
+<p><em>《竞赛班传奇》    第一部，第一幕</em></p>
+<p><em>人物：“和蔼可亲滴”福建籍物理竞赛教练
+<strong>茂华</strong>；“偷奸耍滑的”山东老家OIer
+<strong>国祯</strong>；“热心尽职喜欢让同学们多多预习物理知识的”物理课代表<strong>曹牧</strong></em></p>
+<p><em>茂华上场，开玩笑的语气说</em></p>
+<p><strong>茂华：</strong> 电荷量滴单位是~库
+仑，符号C（写下一个大C），<strong>艹</strong>！</p>
+<p><em>全班哄笑，国祯猥琐的笑，茂华眉头一蹙，表情严肃，严肃语气</em></p>
+<p><strong>茂华：</strong>
+国祯！还在那里笑，曹牧，检查一下国祯有没有记笔记！</p>
+<p><em>曹牧起身走向国祯，其他人目光盯着曹牧，国祯将物理书翻开，指着笔记处，曹牧低头查看，然后抬头</em></p>
+<p><strong>曹牧：</strong> 他写了，但是……</p>
+<p><em>严肃的，急速的，愤怒之极的，气震寰宇的，振聋发聩的，势如破竹的，响彻云霄的，如雷贯耳的，不共戴天的，耳机党爆炸的，外放党社死的</em></p>
+<p><strong>茂华：</strong> 站起来！没写笔记！</p>
+<p><em>国祯吓一跳，乖乖站起，曹牧缓缓退回，众人起哄国<sub>祯</sub>，茂华声音略小</em></p>
+<p><strong>茂华：</strong>
+在这里偷奸耍滑是会被刷出去滴。到时候你竞赛搞不好，高考也考滴西撇，看你到时候怎么办！</p>
+<p><strong>国祯：</strong> （解释的语气）我没有偷奸耍滑！</p>
+<p><em>茂华语气有所缓和</em></p>
+<p><strong>茂华：</strong> 那你把这道题解出来，你就可以坐下了</p>
+</blockquote>
+<p>题面： <em>给定<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>个物品，背包最大容量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>。对于第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>种物品，给定每个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>种物品的大小<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.059ex" height="1.902ex" role="img" focusable="false" viewBox="0 -683 910 840.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g><g data-mml-node="mi" transform="translate(616,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，价值<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.875ex" height="1.902ex" role="img" focusable="false" viewBox="0 -683 1271 840.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44A" d="M436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683Z"></path></g><g data-mml-node="mi" transform="translate(977,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，以及个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.127ex" height="1.952ex" role="img" focusable="false" viewBox="0 -705 940 862.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mi" transform="translate(646,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，试求出背包可以装下物品的最大价值<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>。</em></p>
+<p>国祯小嘴一撇，这还不简单？他立马拿起了一支0.5mm的黑色签字笔在草稿纸上飞速演算。得益于他积累了一坤年的OI知识，2分钟后，在众人惊异的目光中，国祯自信满满地拿出了写有正确答案的草稿纸。他将右手伸得十分用力，好像要把草稿纸怼到茂华脸上一样，他的嘴角浮现出一抹byd笑容。</p>
+<p>只见茂华呆立原地，嘴巴微张，如同按下了暂停键。3秒钟的寂静过后，下课铃如同国祯的战鼓一般敲响，宣告这次对决以国祯的大比分取胜而落下帷幕。茂华直立的双腿尴尬的向门口转去，颤抖的双唇之间轻飘飘冒出了两个字：“下课”。随后咬紧嘴唇，一步一步踱向门外。</p>
+<p>国祯如获新生。在众人崇拜和惊诧的目光中，他迷失了自我，他快步走向一体机，熟练地打开希沃白板，好像已经练习过成千上万遍似的，将一句话加粗写在了白板上：</p>
+<blockquote>
+<p><strong>通常情况下，多重背包的思路是将一堆A物品拆分成n个A物品，每个物品只能使用一次，便可转化为01背包问题</strong></p>
+</blockquote>
+<p>他不管大家是否了解01背包的含义，他此刻只想在众人面前分享打败茂华的喜悦感，以及打败茂华所需要的知识，这又何尝不是一种爱屋及乌的思想呢？</p>
+<p>第二天，当上午的物理课准时来到，茂华却没有准时跨进教室的门。通常情况下，他每次课前都会提前2分钟来到教室里对同学进行题目过关。</p>
+<p>1分钟后，茂华挟着几本不合身份的普及组信息竞赛导论及考纲，昂首阔步地走进了一班教室。他大声说着：“通常情况下。这是国祯同学昨天下课后给你们上的课里的一句原话！”</p>
+<p>原来茂华前一天下课后并没有跑回办公室<del>又哭又闹</del>大发牢骚，而是现场网购了信息竞赛教程，准备在第二天的物理课上给国祯单独上节课：学生是永远无法击败老师滴！</p>
+<p>他打开了浏览器，输入一行神秘的IP地址，按下回车，一个界面清爽的网站跳了出来。顶端用紫色的大写字母写着MHOI四个大字。</p>
+<p>“牛逼吧，这是我连夜赶工自创的网站，”他笑着打开了题目列表中的第一道题，标题：
+<em>国祯接招</em>
+。国祯轻蔑地瞥了一眼，题干还是昨天那样，一模一样，“看好了国祯，”他指向下排的一行小字，“数据范围：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="10.031ex" height="1.819ex" role="img" focusable="false" viewBox="0 -666 4433.6 804"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1000,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(2000,0)"></path></g></g></g></svg></mjx-container></span>！看你那吃了食的小脑袋还能不能算出这道题目。”</p>
+<p>显然，茂华是有备而来，国祯倒吸一口冷气。手工计算绝对是行不通了，但是对于竞赛班的高思娃国祯，绝对是有两把刷子的，毕竟正如茂华所说：“偷奸耍滑耍小聪明早就被刷下去了”。</p>
+<blockquote>
+<p>面对如此巨大的物品总数，一些牛逼娃想到了用二进制拆分表示物品个数的方法。尽管换汤不换药，本质还是一个01背包问题，但是经过祖先们灵魂的注入，茂华是肯定不敢把你踢出竞赛班滴。</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="12.885ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 5695 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(749,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(1234,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 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+<p>假设原有10个价值为2的物品，将10分为1+2+4+3，等同于有4个不同的01物品，价值分别为1<em>2=2，2</em>2=4，4<em>2=8，3</em>2=6，即2，4，8，6</p>
+</blockquote>
+<p>国祯很快在VSCode上写出了一段教科书式的、注释易懂的模板代码，这次就算是物竞数竞化竞生竞的人也可以轻易看懂了：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">100010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> w<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> v<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token comment">//  价值  占地  容量上限为N时最大价值 </span>
+<span class="token keyword">int</span> idx <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token comment">// 记录数组下标</span>
+ 
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> n<span class="token punctuation">,</span> c<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>n<span class="token operator">&gt;&gt;</span>c<span class="token punctuation">;</span>
+ 
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">int</span> a<span class="token punctuation">,</span> b<span class="token punctuation">,</span> s<span class="token punctuation">;</span>
+		<span class="token comment">//  v  w  n</span>
+		<span class="token comment">// 即体积，价值，个数</span>
+		cin<span class="token operator">&gt;&gt;</span>a<span class="token operator">&gt;&gt;</span>b<span class="token operator">&gt;&gt;</span>s<span class="token punctuation">;</span>
+		
+		<span class="token keyword">int</span> k <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> <span class="token comment">// 记录2的幂，初始值为2的0次幂，即1 </span>
+		<span class="token comment">//if (s == 0) s = INF; // 当题目中说数量0时默认为无限次时可以使用，这其实已经属于混合背包（多重+完全）的范畴 </span>
+		<span class="token keyword">while</span> <span class="token punctuation">(</span>k <span class="token operator">&lt;=</span> s<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 个数可以继续被分解</span>
+			s <span class="token operator">-=</span> k<span class="token punctuation">;</span> <span class="token comment">// 更新个数 </span>
+			idx<span class="token operator">++</span><span class="token punctuation">;</span> <span class="token comment">// 新的下标 </span>
+			v<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> a <span class="token operator">*</span> k<span class="token punctuation">;</span> <span class="token comment">// 分解后该物品的大小 </span>
+			w<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> b <span class="token operator">*</span> k<span class="token punctuation">;</span> <span class="token comment">// 分解后该物品的价值 </span>
+			k <span class="token operator">*=</span> <span class="token number">2</span><span class="token punctuation">;</span> <span class="token comment">// k更新为2的下一个幂 </span>
+		<span class="token punctuation">}</span> 
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>s<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 若无法被完全分解，剩下一部分 </span>
+			idx<span class="token operator">++</span><span class="token punctuation">;</span> <span class="token comment">// 记录新的下标 </span>
+			v<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> a <span class="token operator">*</span> s<span class="token punctuation">;</span> <span class="token comment">// 大小 </span>
+			w<span class="token punctuation">[</span>idx<span class="token punctuation">]</span> <span class="token operator">=</span> b <span class="token operator">*</span> s<span class="token punctuation">;</span> <span class="token comment">// 价值 </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token comment">// 01背包模板 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> c<span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>dp<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>j <span class="token operator">-</span> v<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">+</span> w<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span> 
+ 	cout<span class="token operator">&lt;&lt;</span>dp<span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>国祯长舒一口气，这次他又获得了胜利。评测点加载了几秒。国祯定住了，#10号点出现一个大大的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="14.735ex" height="2.084ex" role="img" focusable="false" viewBox="0 -716 6513 921"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44A" d="M436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 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d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g data-mml-node="mi" transform="translate(4880,0)"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 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411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。国祯感觉堕入了万丈深渊，只见茂华狂笑了起来，带动全班其他同学的笑容，一班霎时被笑声吞没。国祯盯着评测信息，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="6.441ex" height="1.579ex" role="img" focusable="false" viewBox="0 -676 2847 698"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 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160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g></g></g></svg></mjx-container></span>的运行时间让他更为疑惑，莫非茂华手动写了一个错误答案？</p>
+<p>国祯尴尬的转向各位同学，其他同学瞬间停止了笑容。先前还在交头接耳的同学们如同机器一般齐刷刷的转向国祯，给人一种惊悚透骨的感觉。他们异口同声张开了嘴，在茂华扭曲的笑容下，说出了让国祯后悔了一辈子的话来：</p>
+<p><strong>“三年OI一场空，不开long long见祖宗！”</strong></p>
+<p><span class="math display"><mjx-container class="MathJax" jax="SVG" display="true"><svg style="vertical-align: -0.118ex;" xmlns="http://www.w3.org/2000/svg" width="6.301ex" height="1.713ex" role="img" focusable="false" viewBox="0 -705 2785 757"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path><path data-c="56" d="M25 633Q25 647 47 665T100 683Q291 683 291 306Q291 264 288 213T282 132L279 102Q281 102 308 126T378 191T464 279T545 381T596 479Q600 490 600 502Q600 527 581 550T523 577Q505 577 505 601Q505 622 516 647T542 681Q546 683 558 683Q605 679 631 645T658 559Q658 423 487 215Q409 126 308 37T190 -52Q177 -52 177 -28Q177 -26 183 15T196 127T203 270Q203 356 192 421T165 523T126 583T83 613T41 620Q25 620 25 633Z" transform="translate(796,0)"></path><path data-c="45" d="M144 470Q144 556 240 630T451 705Q564 705 564 637Q564 611 540 573Q529 559 505 547T464 534Q448 534 448 545Q448 552 455 562Q463 577 463 591Q463 600 462 604T456 616T436 627T400 635Q396 635 390 635T380 636Q291 636 258 568Q245 544 245 516Q245 463 290 438T391 410Q415 410 415 398Q415 392 407 380T376 356T326 341Q288 340 260 327Q218 311 187 276T143 208T130 151Q130 113 156 88T211 55T268 47Q349 47 403 125Q415 144 439 157T483 171Q499 171 499 160Q499 148 475 120T413 59T315 3T197 -22Q124 -22 77 14T30 105Q30 126 39 154T66 216T122 288T209 354L223 362Q144 400 144 470Z" transform="translate(1409,0)"></path><path data-c="52" d="M37 475Q19 475 19 487Q19 503 35 530T83 589T180 647T327 682H374Q387 682 417 682T464 683Q519 683 559 679T642 663T708 625T731 557Q731 481 668 411T504 300Q506 296 512 286T528 257T553 202Q594 105 611 82Q635 47 665 47Q708 47 742 93Q758 113 786 128Q804 136 819 137Q837 137 837 125Q837 115 818 92T767 43T687 -2T589 -22Q549 -22 517 22T467 120T422 221T362 273Q346 273 346 287Q348 301 373 320T436 342Q437 342 446 343T462 345T481 348T504 353T527 362T553 375T577 393Q598 412 614 443T630 511Q630 545 613 566T541 600T393 614Q370 614 370 613L366 584Q349 446 311 307T243 96L213 25Q205 8 179 -7T132 -22Q125 -22 120 -18T117 -8Q117 -5 130 26T163 113T205 239T246 408T274 606V614Q273 614 259 613T231 609T198 602T163 588Q131 572 113 518Q102 502 80 490T37 475Z" transform="translate(1937,0)"></path></g></g></g></g></svg></mjx-container></span></p>
+</div><div class="story post-story"><h2 id="背包类动态规划-混合背包">背包类动态规划      混合背包</h2>
+<p>混合背包，顾名思义。它混合了多种背包，实际应用中这一类问题比较有现实意义。主要思路是，将分属于各个类型背包的物品用几个条件判断语句写出来，然后分别套用各类背包的解决方案进行求解。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">100010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> w<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> v<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> dp<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token comment">//  价值  占地  容量上限为N时最大价值 </span>
+ 
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>A<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 01背包物品，写01背包模板 </span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>B<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 完全背包物品，写完全背包模板 </span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>C<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token comment">// 其他…… </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
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+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
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+        
+          
+  
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+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E7%AE%97%E6%B3%95/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>算法</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%AD%A6%E6%9C%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>学术</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/OI/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>OI</p></a></div>
+  <span hidden itemprop="keywords">算法 学术 OI</span>
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+          <p class='content'>起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。...</p>
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+          <p class='content'>曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
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+      <ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#trie%E6%A0%91%E5%AD%97%E5%85%B8%E6%A0%91"><span class="toc-number">1.</span> <span class="toc-text">1. Trie树（字典树）</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%B9%B6%E6%9F%A5%E9%9B%86"><span class="toc-number">2.</span> <span class="toc-text">并查集</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8D%95%E8%B0%83%E9%98%9F%E5%88%97"><span class="toc-number">3.</span> <span class="toc-text">单调队列</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8D%95%E8%B0%83%E6%A0%88"><span class="toc-number">4.</span> <span class="toc-text">单调栈</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8D%95%E6%BA%90%E6%9C%80%E7%9F%AD%E8%B7%AF%E5%BE%84-%E6%9C%B4%E7%B4%A0dijkstra"><span class="toc-number">5.</span> <span class="toc-text">单源最短路径      朴素Dijkstra</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8D%95%E6%BA%90%E6%9C%80%E7%9F%AD%E8%B7%AF%E5%BE%84-%E5%A0%86%E4%BC%98%E5%8C%96dijkstra"><span class="toc-number">6.</span> <span class="toc-text">单源最短路径      堆优化Dijkstra</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%83%8C%E5%8C%85%E7%B1%BB%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92-01%E8%83%8C%E5%8C%85"><span class="toc-number">7.</span> <span class="toc-text">背包类动态规划      01背包</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%83%8C%E5%8C%85%E7%B1%BB%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92-%E5%AE%8C%E5%85%A8%E8%83%8C%E5%8C%85"><span class="toc-number">8.</span> <span class="toc-text">背包类动态规划      完全背包</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%83%8C%E5%8C%85%E7%B1%BB%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92-%E5%A4%9A%E9%87%8D%E8%83%8C%E5%8C%85"><span class="toc-number">9.</span> <span class="toc-text">背包类动态规划      多重背包</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%83%8C%E5%8C%85%E7%B1%BB%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92-%E6%B7%B7%E5%90%88%E8%83%8C%E5%8C%85"><span class="toc-number">10.</span> <span class="toc-text">背包类动态规划      混合背包</span></a></li></ol>
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+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/common-algo-templates/","name":"常用算法模板"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"常用算法模板","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/common-algo-templates/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/common-algo-templates/","wordCount":0,"datePublished":"2023-10-28T14:11:51.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"算法,学术,OI","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/css/Readme.html b/css/Readme.html
new file mode 100644
index 0000000000..e077c75278
--- /dev/null
+++ b/css/Readme.html
@@ -0,0 +1,22 @@
+<h1 id="样式文件说明">样式文件说明</h1>
+<h2 id="样式拆分说明">样式拆分说明</h2>
+<p>方案是对 https://blog.skk.moe/post/improve-fcp-for-my-blog/
+的开源实现</p>
+<h3 id="first.styl">first.styl</h3>
+<p>首屏样式, 内含 首屏基础样式、 cover、 navbar、
+首屏search、首屏暗黑模式、首屏字体 等样式,
+首屏样式采用硬编码的方式写在HTML中.</p>
+<p>内联硬编码自动化方案 see：scripts/helpers/first-style/index.js</p>
+<h3 id="style.styl">style.styl</h3>
+<p>异步加载样式, 除首屏样式外的其他样式, 最终生成 /css/style.css
+异步加载.</p>
+<h2 id="暗黑模式样式说明">暗黑模式样式说明</h2>
+<p>暗黑模式样式被拆分为首屏暗黑模式样式和异步暗黑模式样式，其中在
+source/css/ 文件夹下：</p>
+<p>_first/dark_first.styl ： 包含 首屏暗黑模式样式 的 暗黑模式 CSS 变量
+和 强制覆盖样式</p>
+<p>_style/_plugins/_dark ： 异步暗黑模式样式文件夹</p>
+<p>_style/_plugins/_dark/dark_async.styl ： 包含 异步暗黑模式样式 的
+暗黑模式 CSS 变量</p>
+<p>_style/_plugins/_dark/dark_plugins.styl ： 包含 异步暗黑模式样式 的
+强制覆盖样式</p>
diff --git a/css/collapsible.css b/css/collapsible.css
new file mode 100644
index 0000000000..86b64bc536
--- /dev/null
+++ b/css/collapsible.css
@@ -0,0 +1,60 @@
+.collapsible {
+    margin: 5px 0;
+    padding: 0 15px;
+    border: 1px solid #E5E5E5;
+    position: relative;
+    clear: both;
+    border-radius: 3px;
+}
+
+.collapsible .collapsible-title {
+    background: #E5E5E5;
+    margin: 0 -15px;
+    padding: 5px 15px;
+    color: #353535;
+    font-weight: bold;
+    font-size: 13px;
+    display: block;
+    cursor: pointer;
+}
+
+.collapsible .collapsible-title:before {
+    font-weight: bold;
+}
+
+.collapsible.collapsed .collapsible-title:before {
+    content: "展开 ";
+}
+
+.collapsible.expanded .collapsible-title:before {
+    content: "隐藏 ";
+}
+
+.collapsible .collapsible-content {
+    padding-top: 0;
+    padding-bottom: 0;
+    margin-top: 0;
+    margin-bottom: 0;
+    -moz-transition-duration: 0.3s;
+    -webkit-transition-duration: 0.3s;
+    -o-transition-duration: 0.3s;
+    transition-duration: 0.3s;
+    -moz-transition-timing-function: ease-in-out;
+    -webkit-transition-timing-function: ease-in-out;
+    -o-transition-timing-function: ease-in-out;
+    transition-timing-function: ease-in-out;
+}
+
+.collapsible.collapsed .collapsible-content {
+    overflow: hidden;
+    max-height: 0;
+}
+
+.collapsible.expanded .collapsible-content {
+    max-height: 3000px;
+    overflow: hidden;
+}
+
+.collapsible .collapsible-content p:first-child {
+    margin-top: 0 !important;
+}
\ No newline at end of file
diff --git a/css/first.styl b/css/first.styl
new file mode 100644
index 0000000000..2b8838022f
--- /dev/null
+++ b/css/first.styl
@@ -0,0 +1,25 @@
+#safearea {
+  display: none
+}
+
+if hexo-config('content_visibility')
+  // https://web.dev/content-visibility/
+  // https://www.caniuse.com/?search=content-visibility
+  /*
+    * Workaround for Chrome bug, part 1
+    * Chunk rendering for all but the first article.
+    * /layout/_partial/scripts/content-visibility-scroll-fix.ejs
+  */
+  .post-story + .post-story{
+    content-visibility: auto;
+    contain-intrinsic-size: 10px 500px;
+  }
+
+@import '_defines/*'
+
+// Project
+@import '_first/*'
+
+// Custom Files
+for $injects_first in hexo-config('injects.first')
+  @import $injects_first;
\ No newline at end of file
diff --git a/css/style.styl b/css/style.styl
new file mode 100644
index 0000000000..0a98dc306e
--- /dev/null
+++ b/css/style.styl
@@ -0,0 +1,13 @@
+#safearea{
+  display: block
+}
+
+@import '_defines/*'
+
+// Project
+@import '_style'
+
+// Custom Files
+for $injects_style in hexo-config('injects.style')
+  @import $injects_style;
+
diff --git a/dcd2023ep1-trailer/index.html b/dcd2023ep1-trailer/index.html
new file mode 100644
index 0000000000..6e172fe7c3
--- /dev/null
+++ b/dcd2023ep1-trailer/index.html
@@ -0,0 +1,4272 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/dcd2023ep1-trailer/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>DC Doujin 2023 EP1 先行预告 - JustPureH2O的博客</title>
+  <meta name="keywords" content="DC Doujin,DCD同人,新闻,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="DC Doujin 2023 EP1 先行预告">
+<meta property="og:url" content="https://justpureh2o.github.io/dcd2023ep1-trailer/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="DC Doujin 2023，点击访问。 DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。 禁止用于商业用途，转载请注明出处 DC Doujin。 Copyright © 2">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-11-05T12:32:52.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="DC Doujin">
+<meta property="article:tag" content="DCD同人">
+<meta property="article:tag" content="新闻">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
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+      
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+      
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+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
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+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
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+  display: flex;
+}
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+  pointer-events: none;
+}
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+}
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+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
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+}
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+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        DC Doujin 2023 EP1 先行预告
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 5, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p><a href="https://justpureh2o.github.io/dcdoujin/">DC Doujin
+2023</a>，点击访问。</p>
+<p>DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由<a href="https://justpureh2o.github.io/dcdoujin/#演员">木稿比你铁</a>饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。</p>
+<p><font size="2"><b>禁止用于商业用途，转载请注明出处 DC
+Doujin。</b></font></p>
+<p><font size="2"><b>Copyright © 2023 DC Doujin, JustPureH2O. All Rights
+Reserved.</b></font></p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+    
+    <div class='footer'>
+       <!-- 参考资料、相关资料等 -->
+      
+       <!-- 相关文章 -->
+      
+      <!-- 版权声明组件 -->
+      
+      <!-- 打赏组件 -->
+      
+    </div>
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
+  
+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/DC-Doujin/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>DC Doujin</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/DCD%E5%90%8C%E4%BA%BA/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>DCD同人</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%96%B0%E9%97%BB/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>新闻</p></a></div>
+  <span hidden itemprop="keywords">DC Doujin DCD同人 新闻</span>
+  
+
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/dcd2023ep1-trailer/&title=DC Doujin 2023 EP1 先行预告 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/dcd2023ep1-trailer/&title=DC Doujin 2023 EP1 先行预告 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/dcd2023ep1-trailer/&title=DC Doujin 2023 EP1 先行预告 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+    <div class="prev-next">
+      
+        <a class='prev' href='/latex-symbols/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>Latex常用符号大全</p>
+          <p class='content'>Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt...</p>
+        </a>
+      
+      
+        <a class='next' href='/fontainish-research/'>
+          <p class='title'>《原神》枫丹语言考究<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。...</p>
+        </a>
+      
+    </div>
+  
+  <!-- 文章推荐 -->
+  
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+  <!-- Custom Files postEnd begin-->
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+  
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+  
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+
+  <div id="lv-container" data-id="city" data-uid="MTAyMC81OTUxMS8zNTk3Mw==">
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+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
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+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
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+  <div class='content'>
+      
+  </div>
+</section>
+
+  
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+</div>
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+  <!-- Custom Files side begin -->
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+  <!-- Custom Files side end -->
+</aside>
+
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+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/dcdep1-release/index.html b/dcdep1-release/index.html
new file mode 100644
index 0000000000..e735208344
--- /dev/null
+++ b/dcdep1-release/index.html
@@ -0,0 +1,4258 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/dcdep1-release/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>DC Doujin 2023 EP1 一触即发正式发布 - JustPureH2O的博客</title>
+  <meta name="keywords" content="DC Doujin,DCD同人,新闻,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  <meta property="og:type" content="article">
+<meta property="og:title" content="DC Doujin 2023 EP1 一触即发正式发布">
+<meta property="og:url" content="https://justpureh2o.github.io/dcdep1-release/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-12-03T13:02:42.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="DC Doujin">
+<meta property="article:tag" content="DCD同人">
+<meta property="article:tag" content="新闻">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
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+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
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+  100% {
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+    opacity: 1;
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+    -moz-opacity: 1;
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+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+    <!-- Custom Files bodyBegin begin-->
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+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
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+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
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+          
+            
+            
+              <hr>
+            
+          
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+            
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+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
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+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
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+            
+              <hr>
+            
+          
+                    
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+              <li>
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+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
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+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+  
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+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Dec 3, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
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+
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+  <div id="post-body" itemprop="articleBody">
+    <div style="position: relative; width: 100%; height: 0; padding-bottom: 75%;"><iframe src="//player.bilibili.com/player.html?aid=451749887&page=" scrolling="no" border="0" frameborder="no" framespacing="0" allowfullscreen="true" style="position: absolute; width: 100%; height: 100%; left: 0; top: 0;"></iframe></div>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+    
+    <div class='footer'>
+       <!-- 参考资料、相关资料等 -->
+      
+       <!-- 相关文章 -->
+      
+      <!-- 版权声明组件 -->
+      
+      <!-- 打赏组件 -->
+      
+    </div>
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
+  
+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/DC-Doujin/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>DC Doujin</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/DCD%E5%90%8C%E4%BA%BA/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>DCD同人</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%96%B0%E9%97%BB/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>新闻</p></a></div>
+  <span hidden itemprop="keywords">DC Doujin DCD同人 新闻</span>
+  
+
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/dcdep1-release/&title=DC Doujin 2023 EP1 一触即发正式发布 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/dcdep1-release/&title=DC Doujin 2023 EP1 一触即发正式发布 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/dcdep1-release/&title=DC Doujin 2023 EP1 一触即发正式发布 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+    <div class="prev-next">
+      
+        <a class='prev' href='/new-year-crack/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>2023年度总结——机房管理软件的破解经验</p>
+          <p class='content'>
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费...</p>
+        </a>
+      
+      
+        <a class='next' href='/number-theory-junior/'>
+          <p class='title'>信竞初等数论导论<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那...</p>
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+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/dcdep1-release/","name":"DC Doujin 2023 EP1 一触即发正式发布"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"DC Doujin 2023 EP1 一触即发正式发布","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/dcdep1-release/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/dcdep1-release/","wordCount":0,"datePublished":"2023-12-03T13:02:42.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"DC Doujin,DCD同人,新闻","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/dcdoujin/index.html b/dcdoujin/index.html
new file mode 100644
index 0000000000..d298e2d052
--- /dev/null
+++ b/dcdoujin/index.html
@@ -0,0 +1,4214 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/dcdoujin/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
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+  <title>DC Doujin 同人创作 - JustPureH2O的博客</title>
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+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
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+<meta property="og:title" content="DC Doujin 同人创作">
+<meta property="og:url" content="https://justpureh2o.github.io/dcdoujin/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="DC Doujin 简介 DC Doujin 同人创作（以下简称DCD），由JustPureH2O于2023年11月5日创建。主要发布一些幽默视频，以及对应的幕后纪实。旨在用最真实最还原的镜头记录学校生活的点点滴滴。目前该频道的拍摄、剪辑、发布均由JustPureH2O一人承担，主要演员有木稿比你铁、狂三唯吾所爱 新闻 DC Doujin 2023 EP1 先行预告 DC Doujin 2023">
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+<meta property="article:published_time" content="2023-11-04T16:33:40.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
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+}
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+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
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+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
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+      
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+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
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+                href="/dcdoujin/" title="DC Doujin"
+                  
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+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
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+            
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+            
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+            
+              <hr>
+            
+          
+            
+              
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+                  
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+                </a>
+                
+                  <ul class="list-v">
+                    
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+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
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+            
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+            
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+            
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+            
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
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+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
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+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
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+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdoujin/index.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
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+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        DC Doujin 同人创作
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
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+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-04T16:33:40+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 4, 2023</p>
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+          
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+
+  <div id="layoutHelper-page-plugins"></div>
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+    <p><font size="7"><span style="color:#00695D">D</span><span style="color:#DA251C">C</span> Doujin</font></p>
+<h3 id="简介">简介</h3>
+<p>DC Doujin 同人创作（以下简称DCD），由<a target="_blank" rel="noopener" href="https://space.bilibili.com/1830675076/">JustPureH2O</a>于2023年11月5日创建。主要发布一些幽默视频，以及对应的幕后纪实。旨在用最真实最还原的镜头记录学校生活的点点滴滴。目前该频道的拍摄、剪辑、发布均由JustPureH2O一人承担，主要演员有<a target="_blank" rel="noopener" href="https://space.bilibili.com/1836671159/">木稿比你铁</a>、<a target="_blank" rel="noopener" href="https://space.bilibili.com/406753504/">狂三唯吾所爱</a></p>
+<h3 id="新闻">新闻</h3>
+<p><a href="https://justpureh2o.github.io/dcd2023ep1-trailer">DC Doujin
+2023 EP1 先行预告</a> <a href="https://justpureh2o.github.io/dcdep1-release">DC Doujin 2023 EP1
+一触即发 正式发布</a></p>
+<h3 id="演员">演员</h3>
+<h4 id="木稿比你铁">1. 木稿比你铁</h4>
+<p><img src="https://pic.imgdb.cn/item/654365f9c458853aef754a03.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/654365f9c458853aef754a03.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><em>DC Doujin 2023 EP1 拍摄前</em></p>
+<h4 id="狂三唯吾所爱">2. 狂三唯吾所爱</h4>
+<p><img src="https://pic.imgdb.cn/item/65472992c458853aef45e26c.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65472992c458853aef45e26c.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><em>（左侧）DC Doujin 2023 EP1 拍摄时</em></p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+    
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+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
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+        <div><p>Blog content follows the <a
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+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"DC Doujin 同人创作","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/dcdoujin/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/dcdoujin/index.html","wordCount":0,"datePublished":"2023-11-04T16:33:40.000Z","dateModified":"2024-02-16T08:47:56.962Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/fontainish-research/index.html b/fontainish-research/index.html
new file mode 100644
index 0000000000..d6b1b729ff
--- /dev/null
+++ b/fontainish-research/index.html
@@ -0,0 +1,4297 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/fontainish-research/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>《原神》枫丹语言考究 - JustPureH2O的博客</title>
+  <meta name="keywords" content="学术,原神,枫丹,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="《原神》枫丹语言考究">
+<meta property="og:url" content="https://justpureh2o.github.io/fontainish-research/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="起因 这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举起一个">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-11-05T10:59:02.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="学术">
+<meta property="article:tag" content="原神">
+<meta property="article:tag" content="枫丹">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        《原神》枫丹语言考究
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 5, 2023</p>
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+</div>
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+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <h3 id="起因">起因</h3>
+<p>这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话<del>又哭又闹，呜呜呜呜，好可怜呀</del>。于是我决定帮他一把……找出了幕后黑手，此时他举起一个木牌，只见上面用老米祖传的架空文字写了一些东西，随着剧情推进，我们得知这是“抗议”（protest）。枫丹作为两个月前才开放的新国家，其文学文化<del>充满乐子的xxs神明</del>固然吸引了我。于是我决定用手头上有限的图片资料，整理出一份类似于枫丹语言图鉴的资料来。以便后期深入探究枫丹的风土人情。</p>
+<h3 id="初探">初探</h3>
+<p><img src="https://pic.imgdb.cn/item/654706cac458853aefcc2705.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/654706cac458853aefcc2705.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>这是在上一部分中提到的，写有“抗议”（protest）的木牌，其中各个字母的对应关系已经标注出来了（相信不用标注也看得出来）。不难发现，最后一个字母与倒数第四个字母是相同的，恰巧对应上protest中字母<strong>t</strong>的位置。某种方面上证明了这一猜测的正确性，但是鉴于这抽象到与原英文字母完全不搭边的枫丹字体<del>（很水体）</del>实在是太过亮眼，我的内心还是有一点怀疑和否定的。那么我们将这七个字母挨个抽取出来，放到别的语境中去转译，不就可以验证它的准确性了吗？</p>
+<p>其实也无需这么麻烦，读完前面的大佬对提瓦特通用语的解析。我们惊奇地发现，这很水体居然与提瓦特通用语的字母如出一辙：</p>
+<p><img src="https://i0.hdslb.com/bfs/article/5fb77fc066e4b3147dec2fbba6a314d4b8f93b1a.png@!web-article-pic.webp" class="lazyload" data-srcset="https://i0.hdslb.com/bfs/article/5fb77fc066e4b3147dec2fbba6a314d4b8f93b1a.png@!web-article-pic.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><em>图片来源于：哔哩哔哩，语颂源，<a target="_blank" rel="noopener" href="https://www.bilibili.com/read/cv10220424/" title="【原神考据】提瓦特通用文">【原神考据】提瓦特通用文</a></em></p>
+<p>当然也有一些变化，比如哪里可能突然多出来一横、又或者是将圆弧形的笔画变得棱角分明。图中的<strong>S</strong>和<strong>E</strong>就是两个典型例子。考虑到可能是手写体带来的美化、钝化等，我接下来去到了枫丹的主城区中，分别在蒸汽鸟报社、卡郎代沙龙前拍下了这几张图片<del>（因为他们离锚点非常的近，不需要跑图）</del>。</p>
+<figure>
+<img src="https://pic.imgdb.cn/item/6547119bc458853aeff0cffd.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6547119bc458853aeff0cffd.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="蒸气鸟报社——板报">
+<figcaption aria-hidden="true">蒸气鸟报社——板报</figcaption>
+</figure>
+<figure>
+<img src="https://pic.imgdb.cn/item/654711c3c458853aeff14abf.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/654711c3c458853aeff14abf.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="蒸气鸟报社——招牌">
+<figcaption aria-hidden="true">蒸气鸟报社——招牌</figcaption>
+</figure>
+<figure>
+<img src="https://pic.imgdb.cn/item/654711ecc458853aeff1be4f.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/654711ecc458853aeff1be4f.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="卡郎代沙龙——招牌">
+<figcaption aria-hidden="true">卡郎代沙龙——招牌</figcaption>
+</figure>
+<p>我们根据已经解译出来的提瓦特通用语字母进行对拍，发现蒸汽鸟报社的招牌上写着：<strong>LOISEAU DE VAPEUR</strong>。明显是法语，但是其中的<strong>VAPEUR</strong>和英语的<strong>VAPOR</strong>（蒸气）非常相似，因此对拍基本无误。但是由于我本人不懂法语，解释不了第一个词，只能求助于度娘。度娘也是给我甩了一个解释：鸟。并纠正了一个小错误：<strong>LOISEAU</strong>应为<strong>L'OISEAU</strong>。完美契合蒸汽鸟报社的招牌。</p>
+<p>同理，卡郎代沙龙的门牌上写着：<strong>CARITAT</strong>。推测其原型是18世纪的姓氏德·卡里塔，孔多塞侯爵（Nicolas
+de Caritat）的妻子便是18世纪的一位著名沙龙主人。</p>
+<p>最后放出蒸汽鸟报社门前牌子上的翻译：</p>
+<p><em>Exploring the manufacture of security machinery</em>
+探秘发条机关（守卫机器）的制造流程</p>
+<p><em>Joyous tour through the aquatic workshop</em>
+水下工坊快乐一日游游记</p>
+<p><em>Exclusive compilation of the past top duellists</em>
+旧时顶级决斗代理人的独家专访合集</p>
+<p><em>Interview with the deboard restaurant artists</em>
+采访德波饭店的艺术家们</p>
+<p><em>Iridescene tour and the new trend of music</em>
+虹彩巡游之旅，以及新派音乐</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
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+    <p>本页文档最后更新于：Feb 16, 2024</p>
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+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%AD%A6%E6%9C%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>学术</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%8E%9F%E7%A5%9E/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>原神</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%9E%AB%E4%B8%B9/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>枫丹</p></a></div>
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+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/fontainish-research/","name":"《原神》枫丹语言考究"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"《原神》枫丹语言考究","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/fontainish-research/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/fontainish-research/","wordCount":0,"datePublished":"2023-11-05T10:59:02.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"学术,原神,枫丹","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/654706cac458853aefcc2705.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
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diff --git a/friends/index.html b/friends/index.html
new file mode 100644
index 0000000000..2ee801edc1
--- /dev/null
+++ b/friends/index.html
@@ -0,0 +1,4207 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/friends/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>友情链接 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  <meta property="og:type" content="website">
+<meta property="og:title" content="友情链接">
+<meta property="og:url" content="https://justpureh2o.github.io/friends/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article id="friends" class="md post article article-entry l_friends white-box reveal shadow floatable blur article-type-friends" itemscope itemprop="blogPost">
+    
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        友情链接
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 16, 2024</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+    
+    
+      
+        <div class='friends-group'>
+          <br>
+          <h2 class='friend-header'>
+            中学时期的好朋友们
+          </h2>
+          
+            <p>同班同学和其他班的OIer好朋友</p>
+
+          
+          
+            <div class='friend-content'>
+              
+                
+                  <a class='friend-card'
+                    target="_blank" rel="external noopener noreferrer" href="http://ggapa.net:81/">
+                    <div class='friend-left'>
+                      
+                        <img class='avatar' src='http://puhongyi.net:81/wp-content/uploads/2023/08/Untitled.png'/>
+                      
+                    </div>
+                    <div class='friend-right'>
+                      <p class="friend-name">GGapa</p>
+                      
+                      
+                    </div>
+                  </a>
+                
+              
+            </div>
+          
+        </div>
+      
+    
+    <br><br>
+    
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/friends/index.html&title=友情链接 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/friends/index.html&title=友情链接 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/friends/index.html&title=友情链接 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  </article>
+  
+  
+
+  
+
+
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+    
+    
+      
+    
+  
+
+
+<div class="widget-sticky">
+
+  
+  
+
+
+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      
+  </div>
+</section>
+
+  
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/gz-articles/index.html b/gz-articles/index.html
new file mode 100644
index 0000000000..d3e2b7d940
--- /dev/null
+++ b/gz-articles/index.html
@@ -0,0 +1,4275 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/gz-articles/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>国祯文集 - JustPureH2O的博客</title>
+  <meta name="keywords" content="整活,国祯,文章,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="国祯文集">
+<meta property="og:url" content="https://justpureh2o.github.io/gz-articles/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="曾茂华到底有多六 ——By 国祯 曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。 1：曾茂华的蠢行为 曾茂华的蠢行为: 他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者成为众">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-10-26T17:29:45.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="整活">
+<meta property="article:tag" content="国祯">
+<meta property="article:tag" content="文章">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
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+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
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+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
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+}
+*::-webkit-scrollbar {
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+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
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+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
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+}
+html >::-webkit-scrollbar-thumb {
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+}
+html >::-webkit-scrollbar-thumb:hover {
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+}
+body {
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+}
+body.modal-active {
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+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
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+    top: 0;
+    right: 0;
+    bottom: 0;
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+}
+a {
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+}
+a:active,
+a:hover {
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+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
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+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
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+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
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+}
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+}
+.cover-wrapper {
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+  left: 0;
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+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
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+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
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+  -ms-user-select: none;
+  position: relative;
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+  margin-bottom: -100px;
+}
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+  position: absolute;
+  width: 100%;
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+  background-position: center;
+  background-size: cover;
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+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
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+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
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+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
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+}
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+    -webkit-opacity: 0;
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+    filter: blur(12px);
+    transform: scale(1.02);
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+}
+@-o-keyframes fadeIn {
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+    filter: blur(12px);
+    transform: scale(1.02);
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+}
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+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
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+}
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+}
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+  padding-bottom: 100px;
+}
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+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
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+  height: 64px;
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+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
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+}
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+}
+@-webkit-keyframes scroll-down-effect {
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+    -webkit-opacity: 1;
+    -moz-opacity: 1;
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+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
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+    -webkit-opacity: 1;
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+}
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+}
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+    opacity: 1;
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+    -moz-opacity: 1;
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+}
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+}
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+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
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+  display: flex;
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+}
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+}
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+}
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+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+  color: black;
+  background-color: black;
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+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
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+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
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+                  >
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+            
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+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
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+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
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+          
+            
+            
+              <hr>
+            
+          
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+            
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+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
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+                
+              </li>
+            
+          
+                    
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+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
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+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
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+            
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+            
+          
+                    
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+                href="/archives/" title="博客文章"
+                  
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+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
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+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
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+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        国祯文集
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Oct 26, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <div class="story post-story"><h2 id="曾茂华到底有多六">曾茂华到底有多六</h2>
+<p><em>——By 国祯</em></p>
+<p>曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。</p>
+<p><strong>1：曾茂华的蠢行为</strong></p>
+<p>曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者成为众矢之的的对象。如果他继续做出这些错误的举动，那么他会失去自己的乐队成员资格，甚至还会遭到开除。所以，为了避免发生这样的悲剧，他必须要记住：永远不要犯错！</p>
+<p><strong>2：为什么他会做出这种愚蠢的事情?</strong></p>
+<p>曾茂华的蠢行为发生在他身上，是因为他自己没有意识到他自己的愚蠢。他不知道怎么做才能让事情变得更好，他只想走捷径，而不是去努力做好事情。这种心态会导致他做出错误的决定，因为他会忽略一些重要的信息，或者选择性地记住某些信息。当我们看到一个人犯了下述三种类型的罪时，我们通常就能预测到这个人会再犯同样的问题：1.
+根本不会思考问题2. 一味追求便利3. 盲目模仿别人</p>
+<p><strong>3: 该如何面对这个问题?</strong></p>
+<p>要想解决问题,首先要认识到自己的行为是愚蠢的。只有当你明白自己做了什么蠢事时,才能够改变你的行为来避免这种错误。其次，不要让别人知道你所犯下的错误。这并不是因为你不想坦白自己所犯错误,而是因为这样会给别人带来困扰。最后,如果你真的想要解决这个问题,可以尝试通过一些有趣的方式来实现它。例如,你可以去找一位专业人士帮助你分析一下这件事情,或者试着去找到一个愿意与你分享观点和建议的人。总之,如果你认为自己的行为很蠢,那么就要大胆地承认出来。只有敢于直面自己的无知,才能真正地改善自己的生活。</p>
+<p>曾茂华先生不仅对科学领域做出了巨大贡献，而且为国家培养出一批优秀的人才。这些人中不乏有牛顿这样伟大的人物，也有王选这样杰出的人物。</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
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+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
+  
+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%95%B4%E6%B4%BB/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>整活</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%9B%BD%E7%A5%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>国祯</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%96%87%E7%AB%A0/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>文章</p></a></div>
+  <span hidden itemprop="keywords">整活 国祯 文章</span>
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+          
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+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/gz-articles/&title=国祯文集 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+    <div class="prev-next">
+      
+        <a class='prev' href='/common-algo-templates/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>常用算法模板</p>
+          <p class='content'>1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70]...</p>
+        </a>
+      
+      
+        <a class='next' href='/journey-to-the-cspj2023/'>
+          <p class='title'>CSP-J 2023 游记<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人...</p>
+        </a>
+      
+    </div>
+  
+  <!-- 文章推荐 -->
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+  
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+<noscript> 为正常使用来必力评论功能请激活JavaScript</noscript>
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+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
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+<div class="widget-sticky">
+
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+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      <ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%9B%BE%E8%8C%82%E5%8D%8E%E5%88%B0%E5%BA%95%E6%9C%89%E5%A4%9A%E5%85%AD"><span class="toc-number">1.</span> <span class="toc-text">曾茂华到底有多六</span></a></li></ol>
+  </div>
+</section>
+
+  
+
+</div>
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+  <!-- Custom Files side begin -->
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+</aside>
+
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+        </div>
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+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/gz-articles/","name":"国祯文集"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"国祯文集","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/gz-articles/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/gz-articles/","wordCount":0,"datePublished":"2023-10-26T17:29:45.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"整活,国祯,文章","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/index.html b/index.html
new file mode 100644
index 0000000000..7a47346a15
--- /dev/null
+++ b/index.html
@@ -0,0 +1,4995 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="index,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur " style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+    
+      <div class="cover-wrapper  dock" id='full'>
+        
+  <div id="parallax-window"></div>
+
+<div class='cover-body'>
+  <div class='top'>
+    
+    
+      <p class="title">JustPureH2O</p>
+    
+    
+      <p class="subtitle">深水里摸大鱼</p>
+    
+  </div>
+  <div class='bottom'>
+    <div class='menu navigation'>
+      <div class='list-h'>
+        
+          
+            <a href="/archives/"
+              
+              
+              active-action="action-archives">
+              <i class='fa-solid fa-file-archive fa-fw'></i><p>归档</p>
+            </a>
+          
+            <a href="/dcdoujin/"
+              
+              
+              active-action="action-dcdoujin">
+              <img src='https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png'><p>DCD</p>
+            </a>
+          
+            <a target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+              
+              
+              active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+              <i class='fa-solid fa-code-branch fa-fw'></i><p>源码</p>
+            </a>
+          
+            <a href="/friends/"
+              
+              
+              active-action="action-friends">
+              <i class='fa-solid fa-link fa-fw'></i><p>友链</p>
+            </a>
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              
+              
+              active-action="action-mailto:justpureh2o@outlookcom">
+              <i class='fa-solid fa-file-signature fa-fw'></i><p>留言</p>
+            </a>
+          
+        
+      </div>
+    </div>
+  </div>
+</div>
+
+        <div id="scroll-down"><i class="fa fa-chevron-down scroll-down-effects"></i></div>
+      </div>
+    
+	
+	<div class="banner_info" style="
+    margin-block: 50px;
+    margin-left: 20px;
+    position: absolute;
+    font-size: 18px;
+">
+		<a href="/picinfo/banners/">关于Banner</a>
+	</div>
+
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/magic-show-with-josephus/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/magic-show-with-josephus/">
+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-10T16:23:45+00:00">2024-02-10</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/magic-show-with-josephus/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/number-theory-junior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/number-theory-junior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/thanks/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/thanks/">
+        <img itemprop="image" class='headimg' alt="一命已出，前来还愿" src='https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/thanks/"  itemprop="url">
+        一命已出，前来还愿
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+2023.11.11 21:10
+
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:42:41+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/thanks/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/latex-symbols/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/latex-symbols/"  itemprop="url">
+        Latex常用符号大全
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt[N]{ABC}
+乘方/N次幂：
+A^N
+下标： A_N
+分数：
+\frac{A}{B}
+等于号：，键盘上有
+约等号：
+\approx 加粗 
+\thickapprox
+不等号：
+\neq
+恒等号/定...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:23:35+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/latex-symbols/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+      <br>
+      <div class="prev-next">
+        
+        <p class="current">
+          1 / 2
+        </p>
+        
+          <a class="next" rel="next" href="/page/2/">
+            <section class="post next white-box shadow floatable blur">
+              &nbsp;Next&nbsp;<i class="fa-solid fa-chevron-right" aria-hidden="true"></i>
+            </section>
+          </a>
+        
+      </div>
+    
+  
+
+
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/journey-to-the-cspj2023/index.html b/journey-to-the-cspj2023/index.html
new file mode 100644
index 0000000000..adca22b0fb
--- /dev/null
+++ b/journey-to-the-cspj2023/index.html
@@ -0,0 +1,4305 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
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+  <title>CSP-J 2023 游记 - JustPureH2O的博客</title>
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+<meta property="og:title" content="CSP-J 2023 游记">
+<meta property="og:url" content="https://justpureh2o.github.io/journey-to-the-cspj2023/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="又名：《第一次考就被小学生薄纱的一集》 本次考场：绵阳东辰国际学校 第一节    赛前准备        插一句：CSP-J 2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理 的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。        然而赛前">
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+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
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+<meta property="article:tag" content="赛后总结">
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+}
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+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
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+        CSP-J 2023 游记
+      </h1>
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+        
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-10-24T16:21:36+00:00">
+  <a class='notlink'>
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+    <p>发布于：Oct 24, 2023</p>
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+    <p><del>又名：《第一次考就被小学生薄纱的一集》</del></p>
+<p>本次考场：绵阳东辰国际学校</p>
+<div class="story post-story"><h2 id="第一节-赛前准备">第一节    赛前准备</h2>
+<p>       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：<em>不要操作电脑，违者将作作弊处理</em>
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。</p>
+<p>       <strong>然而赛前试机仍然是必要的一环（但是如果考场纪律有要求那就算了）</strong>，因为这样可以让选手对机器有一个初步的了解。因为我本人习惯使用<code>Win+E</code>打开文件系统管理器，用<code>Win+V</code>记录剪切板数据，可是这些功能在考场电脑上都无法使用，进行赛前试机不仅可以避免因赛时临时发现无法使用某些功能而带来的苦恼<del>心态爆炸点+1</del>，而且还可以将IDE环境调整到个人喜欢的状态（例如缺省源代码，相当于每次新建代码不用重新打头文件）。选手可以不占用正式比赛时间完成一些个性化操作，方便赛时操作，其重要性不言而喻。</p>
+<p><del>当然，开赛前乱猜试题PDF密码是极其无意义且几乎不可能成功的一件事，更不要使用暴力破解密码工具破解文件（相信守规矩的你也不会将这种工具带进考场里来），这么做不仅会被当做作弊者处理，而且造成的数据丢失也只能由你自己负责。</del></p>
+</div><div class="story post-story"><h2 id="第二节-开赛之初">第二节    开赛之初</h2>
+<p>       <strong>考场下发的PDF文件带有密码保护，输入时请务必瞪大眼睛区分大小写字母O、o与数字0；小写字母l、大写字母I与数字1，并且将其中的特殊字符认真核对一遍</strong>。本次考试，我有幸将密码中的数字0写成了小写字母o，于是浪费了宝贵的2分钟时间改正密码（真实情况是监考老师在黑板上书写密码时字迹不规范导致的混淆）。因此需要认真看好你的密码。</p>
+<p>       就我认为：<strong>在一开始就仔细写好文件重定向输入输出是极其重要的</strong>，因为随着考试时间的推进，你的思考重点将从细节性问题变为如何拿到更多的分数上<del>骗分</del>。你就会忽略重新写上两行重定向IO的代码，因而可能Au-&gt;Cu，光荣AFO。为了引起你的注意，使用极长的注释双斜线是可行的，我本人习惯打上断点。例如：</p>
+<pre class="line-numbers language-none"><code class="language-none">//////////////////////////////////////////////// freopen("uqe.in", "r", stdin);
+//////////////////////////////////////////////// freopen("uqe.out", "w", stdout);<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<p>将比</p>
+<pre class="line-numbers language-none"><code class="language-none">//freopen("uqe.in", "r", stdin);
+//freopen("uqe.out", "w", stdout);<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<p>显眼得多——尤其是当你喜欢为每行代码写上包含心血的易懂注释时。事后你可以通过长按<code>Ctrl+逗号</code>（Dev-C++）的方式快速且安全的删除这些斜线。</p>
+<p>       不仅如此，<strong>看好输入输出文件名也是一个非常重要的细节</strong>，建议直接复制粘贴。对于标准样例，直接选中PDF文字再复制一般都不是一个明智的做法，手动输入也是可行的，但是对拍有时会比较繁琐（例如普及组T3的样例）。这边传授一个方便的做法：选中代码左侧序号，在WPS中直接右键菜单点击消除文字即可（本次考试我就是使用的这个方便技巧快捷复制样例数据）。最好找张纸记下来，后面会讲到原因。</p>
+<p>       顺利解锁了PDF文件，<strong>你要做的第一件事就是将四道题全部读熟</strong>。对整场比赛的题目有大致的规划，有可能你先前做题时做过与T4极其相似的题目，那么放弃显然是一个很不划算的决策。将题目读熟，大概判断一下算法实现，评估自己哪些题能做好，哪些题要放一放/完全放弃。知己知彼方能百战百胜。</p>
+<p>       赛初的状态基本上决定了你整场比赛的表现，因此在赛初就做好一切细节方面的完全准备，对你的信心增长是非常重要的！</p>
+</div><div class="story post-story"><h2 id="第三节-赛中时期">第三节    赛中时期</h2>
+<p>       那么你现在拿到了第一题（信心题）。一般来说，CSP的复赛，算法很少裸露地出现在题目之中，前两题近似看作数学题。保证你的数学思维在线，因为第一题的思路可能千奇百怪，<strong>如果你一段时间没有思路（对于第一题大概是5~15分钟），可以考虑先做其他题目</strong>。刷新一下思维定势，有可能T1的灵感就乍现于其他题目之中。</p>
+<p>       <strong>在符合时间规划的前提下尽可能多去造hack数据</strong>，写出一段代码（尤其是T3放大模拟时）后，千万保证没有任何逻辑问题。当然，不是所有人都能只看代码就能检查的出其中的逻辑漏洞。因此你需要多造hack数据。hack数据多数情况下包括这几个要素：<em>方程的特殊解、极端值/边界值、大数据（int越界）</em>。在规划好的时间内想尽办法为你的代码多挑几根刺出来，你的代码才能更加趋近于满分解。</p>
+<p>       <strong>千万不要看你旁边的人！！！</strong>
+除非S组巨佬闯进了J组蒟蒻区，否则千万不要在比赛中途去看任何人的任何行为。一方面，你的行为可能被视作交谈作弊<del>喜提CCF全国通报、禁赛3年大礼包</del>；另一方面，如果你抱着嘲笑别人的心态去观察别人，那么你的脸很可能就会被你自己打烂。我在考试时因为瞧不起隔壁的一位小学生，当他开始疯狂敲代码时，我自己的心态就爆炸了——把所有人，不分男女、年龄高低，都当作你的敌人，轻视则死。同时这也给你带来一部分紧张感，会使你的发挥更佳。</p>
+<p>       <strong>给自己适当的放松与勉励</strong>，要相信，上天不是无故给你这个周末不用冒着风雨大太阳上补习班的珍贵机会（对于高中生，则是周六不用坐在教室里上正课的机会）。当你完全确认你的代码已经完美无瑕时，告诉自己：<em>同学们都还在悲催的上着课，我却在外边快乐的敲着代码。</em>如此一来可以起到调整心态的作用。</p>
+<p>       <strong>别激动到顺手关了PDF文件</strong>。如果你还记得或者是在草稿纸上写了密码，那无所谓；但是如果你没写，你的处境就非常尴尬，这时你可以举手找老师再要，但这绝对对你的心态是一个不小的打击。</p>
+</div><div class="story post-story"><h2 id="第四节-赛末时期">第四节    赛末时期</h2>
+<p>       经历三个半小时的不懈奋斗，比赛终于迎来最后的半小时。<strong>无论你的完成情况如何，一定要用这最后的时间好好检查一下你的代码</strong>。瞄一眼你是否有与下面类似的代码：</p>
+<pre class="line-numbers language-none"><code class="language-none">freopen("uqe2.in", "r", stdin);  // 危
+freopen("uqe2.out", "w", stdout);  // 爆零警告<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<p>这段代码的主人是个懒人无疑了，如果你把CCF提供的附加样例复制了出来。切记最后把文件名里的序号删除，否则你就可以AFO了。</p>
+<p>       或者以下的代码：</p>
+<pre class="line-numbers language-none"><code class="language-none">#include &lt;Windows.h&gt;
+//其他的代码
+if (system("fc uqe.out uqe.ans")) cout&lt;&lt;"WA"&lt;&lt;endl;
+else cout&lt;&lt;"AC"&lt;&lt;endl;<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span></span></code></pre>
+<p>这位同学也是个Windows爱好者<del>受害者</del>无疑了，<strong>CCF明文规定了测试用系统为NOI
+Linux。因此不存在<code>Windows.h</code>这个头文件</strong>，如果你忘记删除了，那一定是个大大滴CE。正式比赛时，用<code>bits/stdc++.h</code>万能头即可(Windows和Linux通用）。我有一个考S组的朋友，因为忘记删除这个对拍头文件而喜提一个0分，直接亏大发。</p>
+<p>       <strong>不要忘记将你的重定向取消注释</strong>。你连读入输出都没有了，属实是可以AFO了。最后三分钟，请将你的蹄子挪开键盘鼠标。否则可能会越改越慌，不妨好好回想一下这周老师留了什么作业，你缺了哪些课需要去补，总之不要再动你的鼠标键盘了！如果实在是不放心编译问题，按一下<code>F11</code>，通过即可。<strong>保证你的工作目录下只留<code>.cpp</code>文件</strong>，所以将你复制的样例文件和编译的exe文件全部删除。</p>
+</div><div class="story post-story"><h2 id="第五节-考试结束">第五节    考试结束</h2>
+<p>       <strong>请你千万保持冷静，不要习惯性地把机器关机了</strong>。CCF明文规定：<em>由关机造成的数据损失，责任由考生自负</em>。只需要把你的IDE关闭就好。</p>
+<p>       <strong>回家后，把周一要交的作业补好。别再谈考试的事情了，让你自己有个好心情。毕竟不管你的表现怎么样，它都过去了不是吗？</strong></p>
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+    <p>本页文档最后更新于：Feb 16, 2024</p>
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+</div>
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+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/CSP-J/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>CSP-J</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E8%B5%9B%E5%90%8E%E6%80%BB%E7%BB%93/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>赛后总结</p></a></div>
+  <span hidden itemprop="keywords">CSP-J 赛后总结</span>
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+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>国祯文集</p>
+          <p class='content'>曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任...</p>
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+          <p class='content'>本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林...</p>
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+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/journey-to-the-cspj2023/","name":"CSP-J 2023 游记"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"CSP-J 2023 游记","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/journey-to-the-cspj2023/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/journey-to-the-cspj2023/","wordCount":0,"datePublished":"2023-10-24T16:21:36.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"CSP-J,赛后总结","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/js/app.js b/js/app.js
new file mode 100644
index 0000000000..0defeb374f
--- /dev/null
+++ b/js/app.js
@@ -0,0 +1,1152 @@
+document.addEventListener("DOMContentLoaded", function () {
+  volantis.requestAnimationFrame(() => {
+    VolantisApp.init();
+    VolantisApp.subscribe();
+    VolantisFancyBox.init();
+    highlightKeyWords.startFromURL();
+    locationHash();
+  });
+});
+
+/* 锚点定位 */
+const locationHash = () => {
+  if (window.location.hash) {
+    let locationID = decodeURI(window.location.hash.split('#')[1]).replace(/\ /g, '-');
+    let target = document.getElementById(locationID);
+    if (target) {
+      setTimeout(() => {
+        if (window.location.hash.startsWith('#fn')) { // hexo-reference https://github.com/volantis-x/hexo-theme-volantis/issues/647
+          volantis.scroll.to(target, { addTop: - volantis.dom.header.offsetHeight - 5, behavior: 'instant', observer: true })
+        } else {
+          // 锚点中上半部有大片空白 高度大概是 volantis.dom.header.offsetHeight
+          volantis.scroll.to(target, { addTop: 5, behavior: 'instant', observer: true })
+        }
+      }, 1000)
+    }
+  }
+}
+Object.freeze(locationHash);
+
+/* Main */
+const VolantisApp = (() => {
+  const fn = {},
+    COPYHTML = '<button class="btn-copy" data-clipboard-snippet=""><i class="fa-solid fa-copy"></i><span>COPY</span></button>';
+  let scrollCorrection = 80;
+
+  fn.init = () => {
+    if (volantis.dom.header) {
+      scrollCorrection = volantis.dom.header.clientHeight + 16;
+    }
+
+    window.onresize = () => {
+      if (document.documentElement.clientWidth < 500) {
+        volantis.isMobile = 1;
+      } else {
+        volantis.isMobile = 0;
+      }
+      if (volantis.isMobile != volantis.isMobileOld) {
+        fn.setGlobalHeaderMenuEvent();
+        fn.setHeader();
+        fn.setHeaderSearch();
+      }
+    }
+    volantis.scroll.push(fn.scrollEventCallBack, "scrollEventCallBack")
+  }
+
+  fn.event = () => {
+    volantis.dom.$(document.getElementById("scroll-down"))?.on('click', function () {
+      fn.scrolltoElement(volantis.dom.bodyAnchor);
+    });
+
+    // 如果 sidebar 为空，隐藏 sidebar。
+    const sidebar = document.querySelector("#l_side")
+    if (sidebar) {
+      const sectionList = sidebar.querySelectorAll("section")
+      if (!sectionList.length) {
+        document.querySelector("#l_main").classList.add("no_sidebar")
+      }
+    }
+
+    // 站点信息 最后活动日期
+    if (volantis.GLOBAL_CONFIG.sidebar.for_page.includes('webinfo') || volantis.GLOBAL_CONFIG.sidebar.for_post.includes('webinfo')) {
+      const lastupd = volantis.GLOBAL_CONFIG.sidebar.webinfo.lastupd;
+      if (!!document.getElementById('last-update-show') && lastupd.enable && lastupd.friendlyShow) {
+        document.getElementById('last-update-show').innerHTML = fn.utilTimeAgo(volantis.GLOBAL_CONFIG.lastupdate);
+      }
+    }
+
+    // 站点信息 运行时间
+    if (!!document.getElementById('webinfo-runtime-count')) {
+      let BirthDay = new Date(volantis.GLOBAL_CONFIG.sidebar.webinfo.runtime.data);
+      let timeold = (new Date().getTime() - BirthDay.getTime());
+      let daysold = Math.floor(timeold / (24 * 60 * 60 * 1000));
+      document.getElementById('webinfo-runtime-count').innerHTML = `${daysold} ${volantis.GLOBAL_CONFIG.sidebar.webinfo.runtime.unit}`;
+    }
+
+    // 消息提示 复制时弹出
+    document.body.oncopy = function () {
+      fn.messageCopyright()
+    };
+  }
+
+  fn.restData = () => {
+    scrollCorrection = volantis.dom.header ? volantis.dom.header.clientHeight + 16 : 80;
+  }
+
+  fn.setIsMobile = () => {
+    if (document.documentElement.clientWidth < 500) {
+      volantis.isMobile = 1;
+      volantis.isMobileOld = 1;
+    } else {
+      volantis.isMobile = 0;
+      volantis.isMobileOld = 0;
+    }
+  }
+
+  // 校正页面定位（被导航栏挡住的区域）
+  fn.scrolltoElement = (elem, correction = scrollCorrection) => {
+    volantis.scroll.to(elem, {
+      top: elem.getBoundingClientRect().top + document.documentElement.scrollTop - correction
+    })
+  }
+
+  // 滚动事件回调们
+  fn.scrollEventCallBack = () => {
+    // 【移动端 PC】//////////////////////////////////////////////////////////////////////
+
+    // 显示/隐藏 Header导航 topBtn 【移动端 PC】
+    const showHeaderPoint = volantis.dom.bodyAnchor.offsetTop - scrollCorrection;
+    const scrollTop = volantis.scroll.getScrollTop(); // 滚动条距离顶部的距离
+
+    // topBtn
+    if (volantis.dom.topBtn) {
+      if (scrollTop > volantis.dom.bodyAnchor.offsetTop) {
+        volantis.dom.topBtn.addClass('show');
+        // 向上滚动高亮 topBtn
+        if (volantis.scroll.del > 0) {
+          volantis.dom.topBtn.removeClass('hl');
+        } else {
+          volantis.dom.topBtn.addClass('hl');
+        }
+      } else {
+        volantis.dom.topBtn.removeClass('show').removeClass('hl');
+      }
+    }
+
+    // Header导航
+    if (volantis.dom.header) {
+      if (scrollTop - showHeaderPoint > -1) {
+        volantis.dom.header.addClass('show');
+      } else {
+        volantis.dom.header.removeClass('show');
+      }
+    }
+
+    // 决定一二级导航栏的切换 【向上滚动切换为一级导航栏；向下滚动切换为二级导航栏】  【移动端 PC】
+    if (pdata.ispage && volantis.dom.wrapper) {
+      if (volantis.scroll.del > 0 && scrollTop > 100) { // 向下滚动
+        volantis.dom.wrapper.addClass('sub'); // <---- 二级导航显示
+      } else if (volantis.scroll.del < 0) { // 向上滚动
+        volantis.dom.wrapper.removeClass('sub'); // <---- 取消二级导航显示 一级导航显示
+      }
+    }
+
+    // 【移动端】//////////////////////////////////////////////////////////////////////
+    if (volantis.isMobile) {
+      // 【移动端】 页面滚动  隐藏 移动端toc目录按钮
+      if (pdata.ispage && volantis.dom.tocTarget && volantis.dom.toc) {
+        volantis.dom.tocTarget.removeClass('active');
+        volantis.dom.toc.removeClass('active');
+      }
+      // 【移动端】 滚动时隐藏子菜单
+      if (volantis.dom.mPhoneList) {
+        volantis.dom.mPhoneList.forEach(function (e) {
+          volantis.dom.$(e).hide();
+        })
+      }
+    }
+  }
+
+  // 设置滚动锚点
+  fn.setScrollAnchor = () => {
+    // click topBtn 滚动至bodyAnchor 【移动端 PC】
+    if (volantis.dom.topBtn && volantis.dom.bodyAnchor) {
+      volantis.dom.topBtn.click(e => {
+        e.preventDefault();
+        e.stopPropagation();
+        fn.scrolltoElement(volantis.dom.bodyAnchor);
+        e.stopImmediatePropagation();
+      });
+    }
+
+  }
+
+  // 设置导航栏
+  fn.setHeader = () => {
+    // !!! 此处的Dom对象需要重载 !!!
+    if (!pdata.ispage) return;
+
+    // 填充二级导航文章标题 【移动端 PC】
+    volantis.dom.wrapper.find('.nav-sub .title').html(document.title.split(" - ")[0]);
+
+    // ====== bind events to every btn =========
+    // 评论按钮 【移动端 PC】
+    volantis.dom.comment = volantis.dom.$(document.getElementById("s-comment")); // 评论按钮  桌面端 移动端
+    volantis.dom.commentTarget = volantis.dom.$(document.querySelector('#l_main article#comments')); // 评论区域
+    if (volantis.dom.commentTarget) {
+      volantis.dom.comment.click(e => { // 评论按钮点击后 跳转到评论区域
+        e.preventDefault();
+        e.stopPropagation();
+        volantis.cleanContentVisibility();
+        fn.scrolltoElement(volantis.dom.commentTarget);
+        e.stopImmediatePropagation();
+      });
+    } else volantis.dom.comment.style.display = 'none'; // 关闭了评论，则隐藏评论按钮
+
+    // 移动端toc目录按钮 【移动端】
+    if (volantis.isMobile) {
+      volantis.dom.toc = volantis.dom.$(document.getElementById("s-toc")); // 目录按钮  仅移动端
+      volantis.dom.tocTarget = volantis.dom.$(document.querySelector('#l_side .toc-wrapper')); // 侧边栏的目录列表
+      if (volantis.dom.tocTarget) {
+        // 点击移动端目录按钮 激活目录按钮 显示侧边栏的目录列表
+        volantis.dom.toc.click((e) => {
+          e.stopPropagation();
+          volantis.dom.tocTarget.toggleClass('active');
+          volantis.dom.toc.toggleClass('active');
+        });
+        // 点击空白 隐藏
+        volantis.dom.$(document).click(function (e) {
+          e.stopPropagation();
+          if (volantis.dom.tocTarget) {
+            volantis.dom.tocTarget.removeClass('active');
+          }
+          volantis.dom.toc.removeClass('active');
+        });
+      } else if (volantis.dom.toc) volantis.dom.toc.style.display = 'none'; // 隐藏toc目录按钮
+    }
+  }
+
+  // 设置导航栏菜单选中状态  【移动端 PC】
+  fn.setHeaderMenuSelection = () => {
+    // !!! 此处的Dom对象需要重载 !!!
+    volantis.dom.headerMenu = volantis.dom.$(document.querySelectorAll('#l_header .navigation,#l_cover .navigation,#l_side .navigation')); // 导航列表
+
+    // 先把已经激活的取消激活
+    volantis.dom.headerMenu.forEach(element => {
+      let li = volantis.dom.$(element).find('li a.active')
+      if (li)
+        li.removeClass('active')
+      let div = volantis.dom.$(element).find('div a.active')
+      if (div)
+        div.removeClass('active')
+    });
+
+    // replace '%' '/' '.'
+    var idname = location.pathname.replace(/\/|%|\./g, '');
+    if (idname.length == 0) {
+      idname = 'home';
+    }
+    var page = idname.match(/page\d{0,}$/g);
+    if (page) {
+      page = page[0];
+      idname = idname.split(page)[0];
+    }
+    var index = idname.match(/index.html/);
+    if (index) {
+      index = index[0];
+      idname = idname.split(index)[0];
+    }
+    // 转义字符如 [, ], ~, #, @
+    idname = idname.replace(/(\[|\]|~|#|@)/g, '\\$1');
+    if (idname && volantis.dom.headerMenu) {
+      volantis.dom.headerMenu.forEach(element => {
+        // idname 不能为数字开头, 加一个 action- 前缀
+        let id = element.querySelector("[active-action=action-" + idname + "]")
+        if (id) {
+          volantis.dom.$(id).addClass('active')
+        }
+      });
+    }
+  }
+
+  // 设置全局事件
+  fn.setGlobalHeaderMenuEvent = () => {
+    if (volantis.isMobile) {
+      // 【移动端】 关闭已经展开的子菜单 点击展开子菜单
+      document.querySelectorAll('#l_header .m-phone li').forEach(function (e) {
+        if (e.querySelector(".list-v")) {
+          // 点击菜单
+          volantis.dom.$(e).click(function (e) {
+            e.stopPropagation();
+            // 关闭已经展开的子菜单
+            e.currentTarget.parentElement.childNodes.forEach(function (e) {
+              if (Object.prototype.toString.call(e) == '[object HTMLLIElement]') {
+                e.childNodes.forEach(function (e) {
+                  if (Object.prototype.toString.call(e) == '[object HTMLUListElement]') {
+                    volantis.dom.$(e).hide()
+                  }
+                })
+              }
+            })
+            // 点击展开子菜单
+            let array = e.currentTarget.children
+            for (let index = 0; index < array.length; index++) {
+              const element = array[index];
+              if (volantis.dom.$(element).title === 'menu') { // 移动端菜单栏异常
+                volantis.dom.$(element).display = "flex"      // https://github.com/volantis-x/hexo-theme-volantis/issues/706
+              } else {
+                volantis.dom.$(element).show()
+              }
+            }
+          }, 0);
+        }
+      })
+    } else {
+      // 【PC端】 hover时展开子菜单，点击时[target.baseURI==origin时]隐藏子菜单? 现有逻辑大部分情况不隐藏子菜单
+      document.querySelectorAll('#wrapper .m-pc li > a[href]').forEach(function (e) {
+        volantis.dom.$(e.parentElement).click(function (e) {
+          e.stopPropagation();
+          if (e.target.origin == e.target.baseURI) {
+            document.querySelectorAll('#wrapper .m-pc .list-v').forEach(function (e) {
+              volantis.dom.$(e).hide(); // 大概率不会执行
+            })
+          }
+        }, 0);
+      })
+    }
+    fn.setPageHeaderMenuEvent();
+  }
+
+  // 【移动端】隐藏子菜单
+  fn.setPageHeaderMenuEvent = () => {
+    if (!volantis.isMobile) return
+    // 【移动端】 点击空白处隐藏子菜单
+    volantis.dom.$(document).click(function (e) {
+      volantis.dom.mPhoneList.forEach(function (e) {
+        volantis.dom.$(e).hide();
+      })
+    });
+  }
+
+  // 设置导航栏搜索框 【移动端】
+  fn.setHeaderSearch = () => {
+    if (!volantis.isMobile) return;
+    if (!volantis.dom.switcher) return;
+    // 点击移动端搜索按钮
+    volantis.dom.switcher.click(function (e) {
+      e.stopPropagation();
+      volantis.dom.header.toggleClass('z_search-open'); // 激活移动端搜索框
+      volantis.dom.switcher.toggleClass('active'); // 移动端搜索按钮
+    });
+    // 点击空白取消激活
+    volantis.dom.$(document).click(function (e) {
+      volantis.dom.header.removeClass('z_search-open');
+      volantis.dom.switcher.removeClass('active');
+    });
+    // 移动端点击搜索框 停止事件传播
+    volantis.dom.search.click(function (e) {
+      e.stopPropagation();
+    });
+  }
+
+  // 设置 tabs 标签  【移动端 PC】
+  fn.setTabs = () => {
+    let tabs = document.querySelectorAll('#l_main .tabs .nav-tabs')
+    if (!tabs) return
+    tabs.forEach(function (e) {
+      e.querySelectorAll('a').forEach(function (e) {
+        volantis.dom.$(e).on('click', (e) => {
+          e.preventDefault();
+          e.stopPropagation();
+          const $tab = volantis.dom.$(e.target.parentElement.parentElement.parentElement);
+          $tab.find('.nav-tabs .active').removeClass('active');
+          volantis.dom.$(e.target.parentElement).addClass('active');
+          $tab.find('.tab-content .active').removeClass('active');
+          $tab.find(e.target.className).addClass('active');
+          return false;
+        });
+      })
+    })
+  }
+
+  // hexo-reference 页脚跳转 https://github.com/volantis-x/hexo-theme-volantis/issues/647
+  fn.footnotes = () => {
+    let ref = document.querySelectorAll('#l_main .footnote-backref, #l_main .footnote-ref > a');
+    ref.forEach(function (e, i) {
+      ref[i].click = () => { }; // 强制清空原 click 事件
+      volantis.dom.$(e).on('click', (e) => {
+        e.stopPropagation();
+        e.preventDefault();
+        let targetID = decodeURI(e.target.hash.split('#')[1]).replace(/\ /g, '-');
+        let target = document.getElementById(targetID);
+        if (target) {
+          volantis.scroll.to(target, { addTop: - volantis.dom.header.offsetHeight - 5, behavior: 'instant' })
+        }
+      });
+    })
+  }
+
+  // 工具类：代码块复制
+  fn.utilCopyCode = (Selector) => {
+    document.querySelectorAll(Selector).forEach(node => {
+      const test = node.insertAdjacentHTML("beforebegin", COPYHTML);
+      const _BtnCopy = node.previousSibling;
+      _BtnCopy.onclick = e => {
+        e.stopPropagation();
+        const _icon = _BtnCopy.querySelector('i');
+        const _span = _BtnCopy.querySelector('span');
+
+        node.focus();
+        const range = new Range();
+        range.selectNodeContents(node);
+        document.getSelection().removeAllRanges();
+        document.getSelection().addRange(range);
+
+        const str = document.getSelection().toString();
+        fn.utilWriteClipText(str).then(() => {
+          fn.messageCopyright();
+          _BtnCopy.classList.add('copied');
+          _icon.classList.remove('fa-copy');
+          _icon.classList.add('fa-check-circle');
+          _span.innerText = "COPIED";
+          setTimeout(() => {
+            _icon.classList.remove('fa-check-circle');
+            _icon.classList.add('fa-copy');
+            _span.innerText = "COPY";
+          }, 2000)
+        }).catch(e => {
+          VolantisApp.message('系统提示', e, {
+            icon: 'fa fa-exclamation-circle red'
+          });
+          _BtnCopy.classList.add('copied-failed');
+          _icon.classList.remove('fa-copy');
+          _icon.classList.add('fa-exclamation-circle');
+          _span.innerText = "COPY FAILED";
+          setTimeout(() => {
+            _icon.classList.remove('fa-exclamation-circle');
+            _icon.classList.add('fa-copy');
+            _span.innerText = "COPY";
+          })
+        })
+      }
+    });
+  }
+
+  // 工具类：复制字符串到剪切板
+  fn.utilWriteClipText = (str) => {
+    return navigator.clipboard
+      .writeText(str)
+      .then(() => {
+        return Promise.resolve()
+      })
+      .catch(e => {
+        const input = document.createElement('textarea');
+        input.setAttribute('readonly', 'readonly');
+        document.body.appendChild(input);
+        input.innerHTML = str;
+        input.select();
+        try {
+          let result = document.execCommand('copy')
+          document.body.removeChild(input);
+          if (!result || result === 'unsuccessful') {
+            return Promise.reject('复制文本失败!')
+          } else {
+            return Promise.resolve()
+          }
+        } catch (e) {
+          document.body.removeChild(input);
+          return Promise.reject(
+            '当前浏览器不支持复制功能，请检查更新或更换其他浏览器操作!'
+          )
+        }
+      })
+  }
+
+  // 工具类：返回时间间隔
+  fn.utilTimeAgo = (dateTimeStamp) => {
+    const minute = 1e3 * 60, hour = minute * 60, day = hour * 24, week = day * 7, month = day * 30;
+    const now = new Date().getTime();
+    const diffValue = now - dateTimeStamp;
+    const minC = diffValue / minute,
+      hourC = diffValue / hour,
+      dayC = diffValue / day,
+      weekC = diffValue / week,
+      monthC = diffValue / month;
+    if (diffValue < 0) {
+      result = ""
+    } else if (monthC >= 1 && monthC < 7) {
+      result = " " + parseInt(monthC) + " 月前"
+    } else if (weekC >= 1 && weekC < 4) {
+      result = " " + parseInt(weekC) + " 周前"
+    } else if (dayC >= 1 && dayC < 7) {
+      result = " " + parseInt(dayC) + " 天前"
+    } else if (hourC >= 1 && hourC < 24) {
+      result = " " + parseInt(hourC) + " 小时前"
+    } else if (minC >= 1 && minC < 60) {
+      result = " " + parseInt(minC) + " 分钟前"
+    } else if (diffValue >= 0 && diffValue <= minute) {
+      result = "刚刚"
+    } else {
+      const datetime = new Date();
+      datetime.setTime(dateTimeStamp);
+      const Nyear = datetime.getFullYear();
+      const Nmonth = datetime.getMonth() + 1 < 10 ? "0" + (datetime.getMonth() + 1) : datetime.getMonth() + 1;
+      const Ndate = datetime.getDate() < 10 ? "0" + datetime.getDate() : datetime.getDate();
+      const Nhour = datetime.getHours() < 10 ? "0" + datetime.getHours() : datetime.getHours();
+      const Nminute = datetime.getMinutes() < 10 ? "0" + datetime.getMinutes() : datetime.getMinutes();
+      const Nsecond = datetime.getSeconds() < 10 ? "0" + datetime.getSeconds() : datetime.getSeconds();
+      result = Nyear + "-" + Nmonth + "-" + Ndate
+    }
+    return result;
+  }
+
+  // 消息提示：标准
+  fn.message = (title, message, option = {}, done = null) => {
+    if (typeof iziToast === "undefined") {
+      volantis.css(volantis.GLOBAL_CONFIG.cdn.izitoast_css)
+      volantis.js(volantis.GLOBAL_CONFIG.cdn.izitoast_js, () => {
+        tozashMessage(title, message, option, done);
+      });
+    } else {
+      tozashMessage(title, message, option, done);
+    }
+    function tozashMessage(title, message, option, done) {
+      const {
+        icon,
+        time,
+        position,
+        transitionIn,
+        transitionOut,
+        messageColor,
+        titleColor,
+        backgroundColor,
+        zindex,
+        displayMode
+      } = option;
+      iziToast.show({
+        layout: '2',
+        icon: 'Fontawesome',
+        closeOnEscape: 'true',
+        displayMode: displayMode || 'replace',
+        transitionIn: transitionIn || volantis.GLOBAL_CONFIG.plugins.message.transitionIn,
+        transitionOut: transitionOut || volantis.GLOBAL_CONFIG.plugins.message.transitionOut,
+        messageColor: messageColor || volantis.GLOBAL_CONFIG.plugins.message.messageColor,
+        titleColor: titleColor || volantis.GLOBAL_CONFIG.plugins.message.titleColor,
+        backgroundColor: backgroundColor || volantis.GLOBAL_CONFIG.plugins.message.backgroundColor,
+        zindex: zindex || volantis.GLOBAL_CONFIG.plugins.message.zindex,
+        icon: icon || volantis.GLOBAL_CONFIG.plugins.message.icon.default,
+        timeout: time || volantis.GLOBAL_CONFIG.plugins.message.time.default,
+        position: position || volantis.GLOBAL_CONFIG.plugins.message.position,
+        title: title,
+        message: message,
+        onClosed: () => {
+          if (done) done();
+        },
+      });
+    }
+  }
+
+  // 消息提示：询问
+  fn.question = (title, message, option = {}, success = null, cancel = null, done = null) => {
+    if (typeof iziToast === "undefined") {
+      volantis.css(volantis.GLOBAL_CONFIG.cdn.izitoast_css)
+      volantis.js(volantis.GLOBAL_CONFIG.cdn.izitoast_js, () => {
+        tozashQuestion(title, message, option, success, cancel, done);
+      });
+    } else {
+      tozashQuestion(title, message, option, success, cancel, done);
+    }
+
+    function tozashQuestion(title, message, option, success, cancel, done) {
+      const {
+        icon,
+        time,
+        position,
+        transitionIn,
+        transitionOut,
+        messageColor,
+        titleColor,
+        backgroundColor,
+        zindex
+      } = option;
+      iziToast.question({
+        id: 'question',
+        icon: 'Fontawesome',
+        close: false,
+        overlay: true,
+        displayMode: 'once',
+        position: 'center',
+        messageColor: messageColor || volantis.GLOBAL_CONFIG.plugins.message.messageColor,
+        titleColor: titleColor || volantis.GLOBAL_CONFIG.plugins.message.titleColor,
+        backgroundColor: backgroundColor || volantis.GLOBAL_CONFIG.plugins.message.backgroundColor,
+        zindex: zindex || volantis.GLOBAL_CONFIG.plugins.message.zindex,
+        icon: icon || volantis.GLOBAL_CONFIG.plugins.message.icon.quection,
+        timeout: time || volantis.GLOBAL_CONFIG.plugins.message.time.quection,
+        title: title,
+        message: message,
+        buttons: [
+          ['<button><b>是</b></button>', (instance, toast) => {
+            instance.hide({ transitionOut: transitionOut || 'fadeOut' }, toast, 'button');
+            if (success) success(instance, toast)
+          }],
+          ['<button><b>否</b></button>', (instance, toast) => {
+            instance.hide({ transitionOut: transitionOut || 'fadeOut' }, toast, 'button');
+            if (cancel) cancel(instance, toast)
+          }]
+        ],
+        onClosed: (instance, toast, closedBy) => {
+          if (done) done(instance, toast, closedBy);
+        }
+      });
+    }
+  }
+
+  // 消息提示：隐藏
+  fn.hideMessage = (done = null) => {
+    const toast = document.querySelector('.iziToast');
+    if (!toast) {
+      if (done) done()
+      return;
+    }
+
+    if (typeof iziToast === "undefined") {
+      volantis.css(volantis.GLOBAL_CONFIG.cdn.izitoast_css)
+      volantis.js(volantis.GLOBAL_CONFIG.cdn.izitoast_js, () => {
+        hideMessage(done);
+      });
+    } else {
+      hideMessage(done);
+    }
+
+    function hideMessage(done) {
+      iziToast.hide({}, toast);
+      if (done) done();
+    }
+  }
+
+  // 消息提示：复制
+  let messageCopyrightShow = 0;
+  fn.messageCopyright = () => {
+    // 消息提示 复制时弹出
+    if (volantis.GLOBAL_CONFIG.plugins.message.enable
+      && volantis.GLOBAL_CONFIG.plugins.message.copyright.enable
+      && messageCopyrightShow < 1) {
+      messageCopyrightShow++;
+      VolantisApp.message(volantis.GLOBAL_CONFIG.plugins.message.copyright.title,
+        volantis.GLOBAL_CONFIG.plugins.message.copyright.message, {
+        icon: volantis.GLOBAL_CONFIG.plugins.message.copyright.icon,
+        transitionIn: 'flipInX',
+        transitionOut: 'flipOutX',
+        displayMode: 1
+      });
+    }
+  }
+
+  return {
+    init: () => {
+      fn.init();
+      fn.event();
+    },
+    subscribe: () => {
+      fn.setIsMobile();
+      fn.setHeader();
+      fn.setHeaderMenuSelection();
+      fn.setGlobalHeaderMenuEvent();
+      fn.setHeaderSearch();
+      fn.setScrollAnchor();
+      fn.setTabs();
+      fn.footnotes();
+    },
+    utilCopyCode: fn.utilCopyCode,
+    utilWriteClipText: fn.utilWriteClipText,
+    utilTimeAgo: fn.utilTimeAgo,
+    message: fn.message,
+    question: fn.question,
+    hideMessage: fn.hideMessage,
+    messageCopyright: fn.messageCopyright,
+    scrolltoElement: fn.scrolltoElement
+  }
+})()
+Object.freeze(VolantisApp);
+
+/* FancyBox */
+const VolantisFancyBox = (() => {
+  const fn = {};
+
+  fn.loadFancyBox = (done) => {
+    volantis.css(volantis.GLOBAL_CONFIG.cdn.fancybox_css);
+    volantis.js(volantis.GLOBAL_CONFIG.cdn.fancybox_js).then(() => {
+      if (done) done();
+    })
+  }
+
+  /**
+   * 加载及处理
+   * 
+   * @param {*} checkMain 是否只处理文章区域的文章
+   * @param {*} done      FancyBox 加载完成后的动作，默认执行分组绑定
+   * @returns 
+   */
+  fn.init = (checkMain = true, done = fn.groupBind) => {
+    if (!document.querySelector(".md .gallery img, .fancybox") && checkMain) return;
+    if (typeof Fancybox === "undefined") {
+      fn.loadFancyBox(done);
+    } else {
+      done();
+    }
+  }
+
+  /**
+   * 图片元素预处理
+   * 
+   * @param {*} selectors 选择器
+   * @param {*} name      分组
+   */
+  fn.elementHandling = (selectors, name) => {
+    const nodeList = document.querySelectorAll(selectors);
+    nodeList.forEach($item => {
+      if ($item.hasAttribute('fancybox')) return;
+      $item.setAttribute('fancybox', '');
+      const $link = document.createElement('a');
+      $link.setAttribute('href', $item.src);
+      $link.setAttribute('data-caption', $item.alt);
+      $link.setAttribute('data-fancybox', name);
+      $link.classList.add('fancybox');
+      $link.append($item.cloneNode());
+      $item.replaceWith($link);
+    })
+  }
+
+  /**
+   * 原生绑定
+   * 
+   * @param {*} selectors 选择器
+   */
+  fn.bind = (selectors) => {
+    fn.init(false, () => {
+      Fancybox.bind(selectors, {
+        groupAll: true,
+        Hash: false,
+        hideScrollbar: false,
+        Thumbs: {
+          autoStart: false,
+        },
+        caption: function (fancybox, carousel, slide) {
+          return slide.$trigger.alt || null
+        }
+      });
+    });
+  }
+
+  /**
+   * 分组绑定
+   * 
+   * @param {*} groupName 分组名称
+   */
+  fn.groupBind = (groupName = null) => {
+    const group = new Set();
+
+    document.querySelectorAll(".gallery").forEach(ele => {
+      if (ele.querySelector("img")) {
+        group.add(ele.getAttribute('data-group') || 'default');
+      }
+    })
+
+    if (!!groupName) group.add(groupName);
+
+    for (const iterator of group) {
+      Fancybox.unbind('[data-fancybox="' + iterator + '"]');
+      Fancybox.bind('[data-fancybox="' + iterator + '"]', {
+        Hash: false,
+        hideScrollbar: false,
+        Thumbs: {
+          autoStart: false,
+        }
+      });
+    }
+  }
+
+  return {
+    init: fn.init,
+    bind: fn.bind,
+    groupBind: (selectors, groupName = 'default') => {
+      try {
+        fn.elementHandling(selectors, groupName);
+        fn.init(false, () => {
+          fn.groupBind(groupName)
+        });
+      } catch (error) {
+        console.error(error)
+      }
+    }
+  }
+})()
+Object.freeze(VolantisFancyBox);
+
+// highlightKeyWords 与 搜索功能搭配 https://github.com/next-theme/hexo-theme-next/blob/eb194a7258058302baf59f02d4b80b6655338b01/source/js/third-party/search/local-search.js
+// Question: 锚点稳定性未知
+// ToDo: 查找模式
+// 0. (/////////要知道浏览器自带全页面查找功能 CTRL + F)
+// 1. 右键开启查找模式 / 导航栏菜单开启?? / CTRL + F ???
+// 2. 查找模式面板 (可拖动? or 固定?)
+// 3. keyword mark id 从 0 开始编号 查找下一处 highlightKeyWords.scrollToNextHighlightKeywordMark() 查找上一处 scrollToPrevHighlightKeywordMark() 循环查找(取模%)
+// 4. 可输入修改 查找关键词 keywords(type:list)
+// 5. 区分大小写 caseSensitive (/ 全字匹配?? / 正则匹配??)
+// 6. 在选定区域中查找 querySelector ??
+// 7. 关闭查找模式
+// 8. 搜索跳转 (URL 入口) 自动开启查找模式 调用 scrollToNextHighlightKeywordMark()
+const highlightKeyWords = (() => {
+  let fn = {}
+  fn.markNum = 0
+  fn.markNextId = -1
+  fn.startFromURL = () => {
+    const params = decodeURI(new URL(location.href).searchParams.get('keyword'));
+    const keywords = params ? params.split(' ') : [];
+    const post = document.querySelector('#l_main');
+    if (keywords.length == 1 && keywords[0] == "null") {
+      return;
+    }
+    fn.start(keywords, post); // 渲染耗时较长
+    fn.scrollToFirstHighlightKeywordMark()
+  }
+  fn.scrollToFirstHighlightKeywordMark = () => {
+    volantis.cleanContentVisibility();
+    let target = fn.scrollToNextHighlightKeywordMark("0");
+    if (!target) {
+      volantis.requestAnimationFrame(fn.scrollToFirstHighlightKeywordMark)
+    }
+  }
+  fn.scrollToNextHighlightKeywordMark = (id) => {
+    // Next Id
+    let input = id || (fn.markNextId + 1) % fn.markNum;
+    fn.markNextId = parseInt(input)
+    let target = document.getElementById("keyword-mark-" + fn.markNextId);
+    if (!target) {
+      fn.markNextId = (fn.markNextId + 1) % fn.markNum;
+      target = document.getElementById("keyword-mark-" + fn.markNextId);
+    }
+    if (target) {
+      volantis.scroll.to(target, { addTop: - volantis.dom.header.offsetHeight - 5, behavior: 'instant' })
+    }
+    // Current target
+    return target
+  }
+  fn.scrollToPrevHighlightKeywordMark = (id) => {
+    // Prev Id
+    let input = id || (fn.markNextId - 1 + fn.markNum) % fn.markNum;
+    fn.markNextId = parseInt(input)
+    let target = document.getElementById("keyword-mark-" + fn.markNextId);
+    if (!target) {
+      fn.markNextId = (fn.markNextId - 1 + fn.markNum) % fn.markNum;
+      target = document.getElementById("keyword-mark-" + fn.markNextId);
+    }
+    if (target) {
+      volantis.scroll.to(target, { addTop: - volantis.dom.header.offsetHeight - 5, behavior: 'instant' })
+    }
+    // Current target
+    return target
+  }
+  fn.start = (keywords, querySelector) => {
+    fn.markNum = 0
+    if (!keywords.length || !querySelector || (keywords.length == 1 && keywords[0] == "null")) return;
+    console.log(keywords);
+    const walk = document.createTreeWalker(querySelector, NodeFilter.SHOW_TEXT, null);
+    const allNodes = [];
+    while (walk.nextNode()) {
+      if (!walk.currentNode.parentNode.matches('button, select, textarea')) allNodes.push(walk.currentNode);
+    }
+    allNodes.forEach(node => {
+      const [indexOfNode] = fn.getIndexByWord(keywords, node.nodeValue);
+      if (!indexOfNode.length) return;
+      const slice = fn.mergeIntoSlice(0, node.nodeValue.length, indexOfNode);
+      fn.highlightText(node, slice, 'keyword');
+      fn.highlightStyle()
+    });
+  }
+  fn.getIndexByWord = (words, text, caseSensitive = false) => {
+    const index = [];
+    const included = new Set();
+    words.forEach(word => {
+      const div = document.createElement('div');
+      div.innerText = word;
+      word = div.innerHTML;
+
+      const wordLen = word.length;
+      if (wordLen === 0) return;
+      let startPosition = 0;
+      let position = -1;
+      if (!caseSensitive) {
+        text = text.toLowerCase();
+        word = word.toLowerCase();
+      }
+      while ((position = text.indexOf(word, startPosition)) > -1) {
+        index.push({ position, word });
+        included.add(word);
+        startPosition = position + wordLen;
+      }
+    });
+    index.sort((left, right) => {
+      if (left.position !== right.position) {
+        return left.position - right.position;
+      }
+      return right.word.length - left.word.length;
+    });
+    return [index, included];
+  };
+  fn.mergeIntoSlice = (start, end, index) => {
+    let item = index[0];
+    let { position, word } = item;
+    const hits = [];
+    const count = new Set();
+    while (position + word.length <= end && index.length !== 0) {
+      count.add(word);
+      hits.push({
+        position,
+        length: word.length
+      });
+      const wordEnd = position + word.length;
+
+      index.shift();
+      while (index.length !== 0) {
+        item = index[0];
+        position = item.position;
+        word = item.word;
+        if (wordEnd > position) {
+          index.shift();
+        } else {
+          break;
+        }
+      }
+    }
+    return {
+      hits,
+      start,
+      end,
+      count: count.size
+    };
+  };
+  fn.highlightText = (node, slice, className) => {
+    const val = node.nodeValue;
+    let index = slice.start;
+    const children = [];
+    for (const { position, length } of slice.hits) {
+      const text = document.createTextNode(val.substring(index, position));
+      index = position + length;
+      let mark = document.createElement('mark');
+      mark.className = className;
+      mark = fn.highlightStyle(mark)
+      mark.appendChild(document.createTextNode(val.substr(position, length)));
+      children.push(text, mark);
+    }
+    node.nodeValue = val.substring(index, slice.end);
+    children.forEach(element => {
+      node.parentNode.insertBefore(element, node);
+    });
+  }
+  fn.highlightStyle = (mark) => {
+    if (!mark) return;
+    mark.id = "keyword-mark-" + fn.markNum;
+    fn.markNum++;
+    mark.style.background = "transparent";
+    mark.style["border-bottom"] = "1px dashed #ff2a2a";
+    mark.style["color"] = "#ff2a2a";
+    mark.style["font-weight"] = "bold";
+    return mark
+  }
+  fn.cleanHighlightStyle = () => {
+    document.querySelectorAll(".keyword").forEach(mark => {
+      mark.style.background = "transparent";
+      mark.style["border-bottom"] = null;
+      mark.style["color"] = null;
+      mark.style["font-weight"] = null;
+    })
+  }
+  return {
+    start: (keywords, querySelector) => {
+      fn.start(keywords, querySelector)
+    },
+    startFromURL: () => {
+      fn.startFromURL()
+    },
+    scrollToNextHighlightKeywordMark: (id) => {
+      fn.scrollToNextHighlightKeywordMark(id)
+    },
+    scrollToPrevHighlightKeywordMark: (id) => {
+      fn.scrollToPrevHighlightKeywordMark(id)
+    },
+    cleanHighlightStyle: () => {
+      fn.cleanHighlightStyle()
+    },
+  }
+})()
+Object.freeze(highlightKeyWords);
+
+/* DOM 控制 */
+const DOMController = {
+  /**
+   * 控制元素显隐
+   */
+  visible: (ele, type = true) => {
+    if (ele) ele.style.display = type === true ? 'block' : 'none';
+  },
+
+  /**
+   * 移除元素
+   */
+  remove: (param) => {
+    const node = document.querySelectorAll(param);
+    node.forEach(ele => {
+      ele.remove();
+    })
+  },
+
+  removeList: (list) => {
+    list.forEach(param => {
+      DOMController.remove(param)
+    })
+  },
+
+  /**
+   * 设置属性
+   */
+  setAttribute: (param, attrName, attrValue) => {
+    const node = document.querySelectorAll(param);
+    node.forEach(ele => {
+      ele.setAttribute(attrName, attrValue)
+    })
+  },
+
+  setAttributeList: (list) => {
+    list.forEach(item => {
+      DOMController.setAttribute(item[0], item[1], item[2])
+    })
+  },
+
+  /**
+   * 设置样式
+   */
+  setStyle: (param, styleName, styleValue) => {
+    const node = document.querySelectorAll(param);
+    node.forEach(ele => {
+      ele.style[styleName] = styleValue;
+    })
+  },
+
+  setStyleList: (list) => {
+    list.forEach(item => {
+      DOMController.setStyle(item[0], item[1], item[2])
+    })
+  },
+
+  fadeIn: (e) => {
+    if (!e) return;
+    e.style.visibility = "visible";
+    e.style.opacity = 1;
+    e.style.display = "block";
+    e.style.transition = "all 0.5s linear";
+    return e
+  },
+
+  fadeOut: (e) => {
+    if (!e) return;
+    e.style.visibility = "hidden";
+    e.style.opacity = 0;
+    e.style.display = "none";
+    e.style.transition = "all 0.5s linear";
+    return e
+  },
+
+  fadeToggle: (e) => {
+    if (!e) return;
+    if (e.style.visibility == "hidden") {
+      e = DOMController.fadeIn(e)
+    } else {
+      e = DOMController.fadeOut(e)
+    }
+    return e
+  },
+
+  fadeToggleList: (list) => {
+    list.forEach(param => {
+      DOMController.fadeToggle(param)
+    })
+  },
+
+  hasClass: (e, c) => {
+    if (!e) return;
+    return e.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+  },
+
+  addClass: (e, c) => {
+    if (!e) return;
+    e.classList.add(c);
+    return e
+  },
+
+  removeClass: (e, c) => {
+    if (!e) return;
+    e.classList.remove(c);
+    return e
+  },
+
+  toggleClass: (e, c) => {
+    if (!e) return;
+    if (DOMController.hasClass(e, c)) {
+      DOMController.removeClass(e, c)
+    } else {
+      DOMController.addClass(e, c)
+    }
+    return e
+  },
+
+  toggleClassList: (list) => {
+    list.forEach(item => {
+      DOMController.toggleClass(item[0], item[1])
+    })
+  }
+}
+Object.freeze(DOMController);
+
+const VolantisRequest = {
+  timeoutFetch: (url, ms, requestInit) => {
+    const controller = new AbortController()
+    requestInit.signal?.addEventListener('abort', () => controller.abort())
+    let promise = fetch(url, { ...requestInit, signal: controller.signal })
+    if (ms > 0) {
+      const timer = setTimeout(() => controller.abort(), ms)
+      promise.finally(() => { clearTimeout(timer) })
+    }
+    promise = promise.catch((err) => {
+      throw ((err || {}).name === 'AbortError') ? new Error(`Fetch timeout: ${url}`) : err
+    })
+    return promise
+  },
+
+  Fetch: async (url, requestInit, timeout = 15000) => {
+    const resp = await VolantisRequest.timeoutFetch(url, timeout, requestInit);
+    if (!resp.ok) throw new Error(`Fetch error: ${url} | ${resp.status}`);
+    let json = await resp.json()
+    if (!json.success) throw json
+    return json
+  },
+
+  POST: async (url, data) => {
+    const requestInit = {
+      method: 'POST',
+    }
+    if (data) {
+      const formData = new FormData();
+      Object.keys(data).forEach(key => formData.append(key, String(data[key])))
+      requestInit.body = formData;
+    }
+    const json = await VolantisRequest.Fetch(url, requestInit)
+    return json.data;
+  },
+
+  Get: async (url, data) => {
+    const json = await VolantisRequest.Fetch(url + (data ? (`?${new URLSearchParams(data)}`) : ''), {
+      method: 'GET'
+    })
+  }
+}
+Object.freeze(VolantisRequest);
diff --git a/js/collapsible.js b/js/collapsible.js
new file mode 100644
index 0000000000..937cf2a564
--- /dev/null
+++ b/js/collapsible.js
@@ -0,0 +1,8 @@
+(function (document) {
+    [].forEach.call(document.getElementsByClassName('collapsible'), function(panel) {
+        panel.getElementsByClassName('collapsible-title')[0].onclick = function() {
+            panel.classList.toggle("collapsed");
+            panel.classList.toggle("expanded");
+        }
+    });
+})(document);
\ No newline at end of file
diff --git a/js/plugins/aplayer.js b/js/plugins/aplayer.js
new file mode 100644
index 0000000000..36f6d7da2c
--- /dev/null
+++ b/js/plugins/aplayer.js
@@ -0,0 +1,186 @@
+/**
+ * 右键音乐
+ * */
+const RightMenuAplayer = (() => {
+  let playStatus; // 播放器状态
+  const APlayer = {}; // 右键音乐所控制的播放器
+  const fn = {};
+
+  fn.checkAPlayer = () => {
+    if (playStatus === undefined || APlayer.player === undefined) {
+      fn.setAPlayerObject();
+    } else if (APlayer.observer === undefined) {
+      fn.setAPlayerObserver();
+    }
+  }
+
+  // 设置全局播放器所对应的 aplyer 对象
+  fn.setAPlayerObject = () => {
+    let meting = document.querySelectorAll('.footer meting-js');
+    if (meting.length == 0) {
+      meting = document.querySelectorAll('meting-js');
+    }
+    APlayer.player = undefined;
+    meting.forEach((item, index) => {
+      if (item.meta.id == volantis.GLOBAL_CONFIG.plugins.aplayer.id && item.aplayer && APlayer.player === undefined) {
+        APlayer.player = item.aplayer;
+        fn.setAPlayerObserver();
+        fn.updateTitle();
+      }
+    });
+  }
+
+  // 事件监听
+  fn.setAPlayerObserver = () => {
+    try {
+      APlayer.player.on('play', function (e) {
+        fn.updateAPlayerControllerStatus(e);
+        APlayer.status = 'play';
+      });
+      APlayer.player.on('pause', function (e) {
+        fn.updateAPlayerControllerStatus(e);
+        APlayer.status = 'pause';
+      });
+      APlayer.player.on('volumechange', function (e) {
+        fn.onUpdateAPlayerVolume(e);
+      });
+      APlayer.player.on('loadstart', function (e) {
+        fn.updateTitle(e);
+      });
+
+      // 监听音量手势
+      APlayer.volumeBarWrap = document.getElementsByClassName('nav volume')[0].children[0];
+      APlayer.volumeBar = APlayer.volumeBarWrap.children[0];
+
+      const thumbMove = (e) => {
+        fn.updateAPlayerVolume(e);
+      };
+
+      const thumbUp = (e) => {
+        APlayer.volumeBarWrap.classList.remove('aplayer-volume-bar-wrap-active');
+        document.removeEventListener('mouseup', thumbUp);
+        document.removeEventListener('mousemove', thumbMove);
+        fn.updateAPlayerVolume(e);
+      };
+
+      APlayer.volumeBarWrap.addEventListener('mousedown', (event) => {
+        event.stopPropagation();
+        APlayer.volumeBarWrap.classList.add('aplayer-volume-bar-wrap-active');
+        document.addEventListener('mousemove', thumbMove);
+        document.addEventListener('mouseup', thumbUp);
+      });
+
+      APlayer.volumeBarWrap.addEventListener('click', (event) => {
+        event.stopPropagation();
+      });
+
+      fn.updateAPlayerControllerStatus();
+      fn.onUpdateAPlayerVolume();
+      APlayer.observer = true;
+    } catch (error) {
+      console.log(error);
+      APlayer.observer = undefined;
+    }
+  }
+
+  fn.updateAPlayerVolume = (e) => {
+    let percentage = ((e.clientX || e.changedTouches[0].clientX) -
+      APlayer.volumeBar.getBoundingClientRect().left) / APlayer.volumeBar.clientWidth;
+    percentage = Math.max(percentage, 0);
+    percentage = Math.min(percentage, 1);
+    APlayer.player.volume(percentage);
+  }
+
+  fn.onUpdateAPlayerVolume = () => {
+    try {
+      APlayer.volumeBar.children[0].style.width = APlayer.player.audio.volume * 100 + '%';
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 更新控制器状态
+  fn.updateAPlayerControllerStatus = () => {
+    try {
+      if (APlayer.player.audio.paused) {
+        playStatus = 'pause';
+        document.getElementsByClassName('nav toggle')[0].children[0].classList.add('fa-play');
+        document.getElementsByClassName('nav toggle')[0].children[0].classList.remove('fa-pause');
+      } else {
+        playStatus = 'play';
+        document.getElementsByClassName('nav toggle')[0].children[0].classList.remove('fa-play');
+        document.getElementsByClassName('nav toggle')[0].children[0].classList.add('fa-pause');
+      }
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 播放/暂停
+  fn.aplayerToggle = () => {
+    fn.checkAPlayer();
+    try {
+      APlayer.player.toggle();
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 上一曲
+  fn.aplayerBackward = () => {
+    fn.checkAPlayer();
+    try {
+      APlayer.player.skipBack();
+      APlayer.player.play();
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 下一曲
+  fn.aplayerForward = () => {
+    fn.checkAPlayer();
+    try {
+      APlayer.player.skipForward();
+      APlayer.player.play();
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 调节音量
+  fn.aplayerVolume = (percent) => {
+    fn.checkAPlayer();
+    try {
+      APlayer.player.volume(percent);
+    } catch (error) {
+      console.log(error);
+    }
+  }
+
+  // 更新音乐标题
+  fn.updateTitle = () => {
+    fn.checkAPlayer();
+    try {
+      const index = APlayer.player.list.index;
+      const obj = APlayer.player.list.audios[index];
+      document.getElementsByClassName('nav music-title')[0].innerHTML = obj.title;
+    } catch (error) {
+      //console.log(error);
+    }
+  }
+
+  return {
+    checkAPlayer: fn.checkAPlayer,
+    aplayerBackward: fn.aplayerBackward,
+    aplayerToggle: fn.aplayerToggle,
+    aplayerForward: fn.aplayerForward,
+    APlayer: APlayer
+  }
+})()
+
+Object.freeze(RightMenuAplayer);
+
+volantis.requestAnimationFrame(() => {
+  RightMenuAplayer.checkAPlayer();
+});
diff --git a/js/plugins/parallax.js b/js/plugins/parallax.js
new file mode 100644
index 0000000000..c170b1961b
--- /dev/null
+++ b/js/plugins/parallax.js
@@ -0,0 +1,191 @@
+let Parallax = {};
+Parallax.options = {};
+Parallax.options.speed = 0.25;
+Parallax.options.zIndex = -100;
+Parallax.options.fade = 1500;
+Parallax.slidein = () => {
+  let slider = Parallax.mirrors[0].slider;
+  if (Parallax.mirrors.length >= 2) {
+    slider = Parallax.mirrors[1].slider;
+  }
+  var opac = parseFloat(slider.style.opacity);
+  if (opac !== 1) {
+    if (Parallax.mirrors.length >= 2) {
+      opac = opac + 0.1;
+      slider.style.opacity = opac;
+      setTimeout(Parallax.slidein, Parallax.options.fade / 10);
+    }else{
+      slider.style.opacity = 1;
+    }
+  } else {
+    if (Parallax.mirrors.length >= 2) {
+      Parallax.mirrors[0].mirror.remove();
+      Parallax.mirrors.shift();
+    }
+  }
+};
+Parallax.start = () => {
+  let mirror = document.createElement("div");
+  mirror.classList.add("parallax-mirror");
+  mirror.style.visibility = "hidden";
+  mirror.style.zIndex = Parallax.options.zIndex;
+  mirror.style.position = "fixed";
+  mirror.style.top = 0;
+  mirror.style.left = 0;
+  mirror.style.overflow = "hidden";
+  Parallax.window.appendChild(mirror);
+  let slider = document.createElement("img");
+  slider.src = Parallax.options.src;
+  slider.alt = "parallax";
+  slider.classList.add("parallax-slider");
+  slider.style.opacity = 0;
+  mirror.appendChild(slider);
+  if (!Parallax.mirrors) {
+    Parallax.mirrors = [];
+  }
+  let mirrorItem = {};
+  mirrorItem.mirror = mirror;
+  mirrorItem.slider = slider;
+  Parallax.mirrors.push(mirrorItem);
+  Parallax.slidein();
+  slider.addEventListener(
+    "load",
+    function () {
+      Parallax.update();
+    },
+    false
+  );
+};
+Parallax.init = () => {
+  function loadDimensions() {
+    Parallax.wH = document.documentElement.clientHeight;
+    Parallax.wW = document.documentElement.clientWidth;
+  }
+  function getScrollTop() {
+    var scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != "BackCompat") {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  function loadScrollPosition() {
+    const winScrollTop = getScrollTop();
+    Parallax.sT = Math.max(0, winScrollTop);
+    Parallax.sL = Math.max(0, document.body.scrollLeft);
+    Parallax.overScroll = Math.min(winScrollTop, 0);
+  }
+  window.addEventListener(
+    "resize",
+    function () {
+      loadDimensions();
+      Parallax.update();
+    },
+    false
+  );
+  loadDimensions();
+  let lastPosition = -1;
+  (function loop() {
+    const yoffset = getScrollTop();
+    if (lastPosition !== yoffset) {
+      lastPosition = yoffset;
+      loadScrollPosition();
+      Parallax.update();
+    }
+    window.requestAnimationFrame =
+      window.requestAnimationFrame ||
+      window.mozRequestAnimationFrame ||
+      window.webkitRequestAnimationFrame;
+    window.requestAnimationFrame(loop);
+  })();
+};
+
+Parallax.refreshItem = (slider) => {
+  Parallax.options.aspectRatio =
+    slider.naturalWidth / (slider.naturalHeight || 1);
+  const aspect = Parallax.options.aspectRatio || 1;
+  Parallax.options.boxWidth = Parallax.window.clientWidth;
+  Parallax.options.boxHeight = Parallax.window.clientHeight;
+  Parallax.options.boxOffsetTop = Parallax.window.scrollTop;
+  Parallax.options.boxOffsetLeft = Parallax.window.scrollLeft;
+  Parallax.options.boxOffsetBottom =
+    Parallax.options.boxOffsetTop + Parallax.options.boxHeight;
+  const winHeight = Parallax.wH;
+  const maxOffset = Parallax.options.boxOffsetTop;
+  const minOffset = Math.max(
+    Parallax.options.boxOffsetTop + Parallax.options.boxHeight - winHeight,
+    0
+  );
+  const imageHeightMin =
+    (Parallax.options.boxHeight +
+      (maxOffset - minOffset) * (1 - Parallax.options.speed)) |
+    0;
+  const imageOffsetMin =
+    ((Parallax.options.boxOffsetTop - maxOffset) *
+      (1 - Parallax.options.speed)) |
+    0;
+  let margin;
+  if (Parallax.options.boxWidth < imageHeightMin * aspect) {
+    Parallax.options.imageWidth = (imageHeightMin * aspect) | 0;
+    Parallax.options.imageHeight = imageHeightMin;
+    Parallax.options.offsetBaseTop = imageOffsetMin;
+    margin = Parallax.options.imageWidth - Parallax.options.boxWidth;
+    Parallax.options.offsetLeft = (-margin / 2) | 0;
+  } else {
+    Parallax.options.imageWidth = Parallax.options.boxWidth;
+    Parallax.options.imageHeight = (Parallax.options.boxWidth / aspect) | 0;
+    Parallax.options.offsetLeft = 0;
+    margin = Parallax.options.imageHeight - imageHeightMin;
+    Parallax.options.offsetBaseTop = (imageOffsetMin - margin / 2) | 0;
+  }
+};
+Parallax.renderItem = (mirror, slider) => {
+  const scrollTop = Parallax.sT;
+  const scrollLeft = Parallax.sL;
+  const scrollBottom = scrollTop + Parallax.wH;
+  if (
+    Parallax.options.boxOffsetBottom > scrollTop &&
+    Parallax.options.boxOffsetTop <= scrollBottom
+  ) {
+    Parallax.options.visibility = "visible";
+    Parallax.options.mirrorTop = Parallax.options.boxOffsetTop - scrollTop;
+    Parallax.options.mirrorLeft = Parallax.options.boxOffsetLeft - scrollLeft;
+    Parallax.options.offsetTop =
+      Parallax.options.offsetBaseTop -
+      Parallax.options.mirrorTop * (1 - Parallax.options.speed);
+  } else {
+    Parallax.options.visibility = "hidden";
+  }
+  mirror.style.transform =
+    "translate3d(" +
+    Parallax.options.mirrorLeft +
+    "px, " +
+    Parallax.options.mirrorTop +
+    "px, 0px)";
+  mirror.style.visibility = Parallax.options.visibility;
+  mirror.style.height = Parallax.options.boxHeight + "px";
+  mirror.style.width = Parallax.options.boxWidth + "px";
+
+  slider.style.transform =
+    "translate3d(" +
+    Parallax.options.offsetLeft +
+    "px, " +
+    Parallax.options.offsetTop +
+    "px, 0px)";
+  slider.style.position = "absolute";
+  slider.style.height = Parallax.options.imageHeight + "px";
+  slider.style.width = Parallax.options.imageWidth + "px";
+  slider.style.maxWidth = "none";
+};
+Parallax.update = () => {
+  if (!Parallax.mirrors) {
+    return
+  }
+  Parallax.mirrors.forEach((e) => {
+    Parallax.refreshItem(e.slider);
+    Parallax.renderItem(e.mirror, e.slider);
+  });
+};
diff --git a/js/plugins/rightMenus.js b/js/plugins/rightMenus.js
new file mode 100644
index 0000000000..980b12172b
--- /dev/null
+++ b/js/plugins/rightMenus.js
@@ -0,0 +1,618 @@
+
+const RightMenus = {
+  defaultEvent: ['copyText', 'copyLink', 'copyPaste', 'copyAll', 'copyCut', 'copyImg', 'printMode', 'readMode'],
+  defaultGroup: ['navigation', 'inputBox', 'seletctText', 'elementCheck', 'elementImage', 'articlePage'],
+  messageRightMenu: volantis.GLOBAL_CONFIG.plugins.message.enable && volantis.GLOBAL_CONFIG.plugins.message.rightmenu.enable,
+  corsAnywhere: volantis.GLOBAL_CONFIG.plugins.rightmenus.options.corsAnywhere,
+  urlRegx: /^((https|http)?:\/\/)+[A-Za-z0-9]+\.[A-Za-z0-9]+[\/=\?%\-&_~`@[\]\':+!]*([^<>\"\"])*$/,
+  imgRegx: /\.(jpe?g|png|webp|svg|gif|jifi)(-|_|!|\?|\/)?.*$/,
+
+  /**
+   * 加载右键菜单
+   */
+  initialMenu: () => {
+    RightMenus.fun.init();
+  },
+
+  /**
+   * 读取剪切板
+   * @returns text
+   */
+  readClipboard: async () => {
+    let clipboardText;
+    const result = await navigator.permissions.query({ name: 'clipboard-read' });
+    switch (result.state) {
+      case 'granted':
+      case 'prompt':
+        clipboardText = await navigator.clipboard.readText()
+        break;
+      default:
+        window.clipboardRead = false;
+        break;
+    }
+    return clipboardText;
+  },
+
+  /**
+   * 写入文本到剪切板
+   * @param {String} text
+   */
+  writeClipText: text => {
+    return navigator.clipboard
+      .writeText(text)
+      .then(() => {
+        return Promise.resolve()
+      })
+      .catch(err => {
+        return Promise.reject(err)
+      })
+  },
+
+  /**
+   * 写入图片到剪切板
+   * @param {*} link
+   * @param {*} success
+   * @param {*} error
+   */
+  writeClipImg: async (link, success, error) => {
+    const image = new Image;
+    image.crossOrigin = "Anonymous";
+    image.addEventListener('load', () => {
+      let canvas = document.createElement("canvas");
+      let context = canvas.getContext("2d");
+      canvas.width = image.width;
+      canvas.height = image.height;
+      context.drawImage(image, 0, 0);
+      canvas.toBlob(blob => {
+        navigator.clipboard.write([
+          new ClipboardItem({ 'image/png': blob })
+        ]).then(e => {
+          success(e)
+        }).catch(e => {
+          error(e)
+        })
+      }, 'image/png')
+    }, false)
+    image.src = `${link}?(lll￢ω￢)`;
+  },
+
+  /**
+   * 粘贴文本到剪切板
+   * @param {*} elemt
+   * @param {*} value
+   */
+  insertAtCaret: (elemt, value) => {
+    const startPos = elemt.selectionStart,
+      endPos = elemt.selectionEnd;
+    if (document.selection) {
+      elemt.focus();
+      var sel = document.selection.createRange();
+      sel.text = value;
+      elemt.focus();
+    } else {
+      if (startPos || startPos == '0') {
+        var scrollTop = elemt.scrollTop;
+        elemt.value = elemt.value.substring(0, startPos) + value + elemt.value.substring(endPos, elemt.value.length);
+        elemt.focus();
+        elemt.selectionStart = startPos + value.length;
+        elemt.selectionEnd = startPos + value.length;
+        elemt.scrollTop = scrollTop;
+      } else {
+        elemt.value += value;
+        elemt.focus();
+      }
+    }
+  }
+}
+
+/**
+ * 事件处理区域
+ */
+RightMenus.fun = (() => {
+  const rightMenuConfig = volantis.GLOBAL_CONFIG.plugins.rightmenus;
+
+  const
+    fn = {},
+    _rightMenuWrapper = document.getElementById('rightmenu-wrapper'),
+    _rightMenuContent = document.getElementById('rightmenu-content'),
+    _rightMenuList = document.querySelectorAll('#rightmenu-content li.menuLoad-Content'),
+    _rightMenuListWithHr = document.querySelectorAll('#rightmenu-content li, #rightmenu-content hr, #menuMusic'),
+    _readBkg = document.getElementById('read_bkg'),
+    _menuMusic = document.getElementById('menuMusic'),
+    _backward = document.querySelector('#menuMusic .backward'),
+    _toggle = document.querySelector('#menuMusic .toggle'),
+    _forward = document.querySelector('#menuMusic .forward');
+
+  // 公共数据
+  let globalData = {
+    mouseEvent: null,
+    isInputBox: false,
+    selectText: '',
+    inputValue: '',
+    isLink: false,
+    linkUrl: '',
+    isMediaLink: false,
+    mediaLinkUrl: '',
+    isImage: false,
+    isArticle: false,
+    pathName: '',
+    isReadClipboard: true,
+    isShowMusic: false,
+    statusCheck: false
+  }
+  const globalDataBackup = Object.assign({}, globalData);
+
+  /**
+   * 初始化监听事件处理
+   */
+  fn.initEvent = () => {
+    fn.elementAppend();
+    fn.contextmenu();
+    fn.menuEvent();
+  }
+
+  /**
+   * 预置元素设定
+   */
+  fn.elementAppend = () => {
+    // 阅读模式
+    if (_readBkg) _readBkg.parentNode.removeChild(_readBkg);
+    const readBkg = document.createElement("div");
+    readBkg.className = "common_read_bkg common_read_hide";
+    readBkg.id = "read_bkg";
+    window.document.body.appendChild(readBkg);
+  }
+
+  /**
+   * 右键菜单位置设定
+   * @param {*} event
+   */
+  fn.menuPosition = (event) => {
+    try {
+      let mouseClientX = event.clientX;
+      let mouseClientY = event.clientY;
+      let screenWidth = document.documentElement.clientWidth || document.body.clientWidth;
+      let screenHeight = document.documentElement.clientHeight || document.body.clientHeight;
+
+      _rightMenuWrapper.style.display = 'block';
+      fn.menuControl(event);
+
+      let menuWidth = _rightMenuContent.offsetWidth;
+      let menuHeight = _rightMenuContent.offsetHeight;
+      let showLeft = mouseClientX + menuWidth > screenWidth ? mouseClientX - menuWidth + 10 : mouseClientX;
+      let showTop = mouseClientY + menuHeight > screenHeight ? mouseClientY - menuHeight + 10 : mouseClientY;
+      showTop = mouseClientY + menuHeight > screenHeight && showTop < menuHeight && mouseClientY < menuHeight ?
+        showTop + (screenHeight - menuHeight - showTop - 10) : showTop;
+      _rightMenuWrapper.style.left = `${showLeft}px`;
+      _rightMenuWrapper.style.top = `${showTop}px`;
+      if (volantis.GLOBAL_CONFIG.plugins.message.rightmenu.notice) fn.menuNotic();
+    } catch (error) {
+      console.error(error);
+      fn.hideMenu();
+      return true;
+    }
+    return false;
+  }
+
+  /**
+   * 菜单项控制
+   * @param {*} event
+   */
+  fn.menuControl = (event) => {
+    fn.globalDataSet(event);
+    if (!!_menuMusic) _menuMusic.style.display = globalData.isShowMusic ? 'block' : 'none';
+    _rightMenuList.forEach(item => {
+      item.style.display = 'none';
+      const nodeName = item.firstElementChild.nodeName;
+      const groupName = item.firstElementChild.getAttribute('data-group');
+      const itemEvent = item.firstElementChild.getAttribute('data-event');
+      if (globalData.statusCheck || globalData.isArticle) {
+        switch (groupName) {
+          case 'inputBox':
+            if (globalData.isInputBox) {
+              item.style.display = 'block';
+              if (itemEvent === 'copyCut' && !globalData.selectText) item.style.display = 'none';
+              if (itemEvent === 'copyAll' && !globalData.inputValue) item.style.display = 'none';
+              if (itemEvent === 'copyPaste' && !globalData.isReadClipboard) item.style.display = 'none';
+            }
+            break;
+          case 'seletctText':
+            if (!!globalData.selectText) item.style.display = 'block';
+            break;
+          case 'elementCheck':
+            if (globalData.isLink || globalData.isMediaLink) item.style.display = 'block';
+            break;
+          case 'elementImage':
+            if (globalData.isImage) item.style.display = 'block';
+            break;
+          case 'articlePage':
+            if (globalData.isArticle) item.style.display = 'block';
+            break;
+          default:
+            item.style.display = nodeName === 'A'
+              ? globalData.isArticle && !globalData.statusCheck && rightMenuConfig.options.articleShowLink
+                ? 'block'
+                : 'none'
+              : 'block';
+            break;
+        }
+      } else if (nodeName === 'A' || RightMenus.defaultGroup.every(item => { return groupName !== item })) {
+        item.style.display = 'block';
+      }
+    })
+
+    // 执行外部事件
+    volantis.mouseEvent = event;
+    volantis.rightmenu.method.handle.start()
+
+    // 过滤 HR 元素
+    let elementHrItem = { item: null, hide: true };
+    _rightMenuListWithHr.forEach((item) => {
+      if (item.nodeName === "HR") {
+        item.style.display = 'block';
+        if (!elementHrItem.item) {
+          elementHrItem.item = item;
+          return;
+        }
+        if (elementHrItem.hide || elementHrItem.item.nextElementSibling.nodeName === "hr") {
+          elementHrItem.item.style.display = 'none';
+        }
+        elementHrItem.item = item;
+        elementHrItem.hide = true;
+      } else {
+        if (item.style.display === 'block' && elementHrItem.hide) {
+          elementHrItem.hide = false;
+        }
+      }
+    })
+    if (!!elementHrItem.item && elementHrItem.hide) elementHrItem.item.style.display = 'none';
+  }
+
+  /**
+   * 元素状态判断/全局数据设置
+   * @param {*} event
+   */
+  fn.globalDataSet = (event) => {
+    globalData = Object.assign({}, globalDataBackup);
+    globalData.mouseEvent = event;
+    globalData.selectText = window.getSelection().toString();
+
+    // 判断是否为输入框
+    if (event.target.tagName.toLowerCase() === 'input' || event.target.tagName.toLowerCase() === 'textarea') {
+      globalData.isInputBox = true;
+      globalData.inputValue = event.target.value;
+    }
+
+    // 判断是否允许读取剪切板
+    if (globalData.isInputBox && window.clipboardRead === false) {
+      globalData.isReadClipboard = false;
+    }
+
+    // 判断是否包含链接
+    if (!!event.target.href && RightMenus.urlRegx.test(event.target.href)) {
+      globalData.isLink = true;
+      globalData.linkUrl = event.target.href;
+    }
+
+    // 判断是否包含媒体链接
+    if (!!event.target.currentSrc && RightMenus.urlRegx.test(event.target.currentSrc)) {
+      globalData.isMediaLink = true;
+      globalData.mediaLinkUrl = event.target.currentSrc;
+    }
+
+    // 判断是否为图片地址
+    if (globalData.isMediaLink && RightMenus.imgRegx.test(globalData.mediaLinkUrl)) {
+      globalData.isImage = true;
+    }
+
+    // 判断是否为文章页面
+    if (!!(document.querySelector('#post.article') || null)) {
+      globalData.isArticle = true;
+      globalData.pathName = window.location.pathname;
+    }
+
+    // 判断是否显示音乐控制器
+    if (volantis.GLOBAL_CONFIG.plugins.aplayer?.enable
+      && typeof RightMenuAplayer !== 'undefined'
+      && RightMenuAplayer.APlayer.player !== undefined) {
+      if (rightMenuConfig.options.musicAlwaysShow
+        || RightMenuAplayer.APlayer.status === 'play'
+        || RightMenuAplayer.APlayer.status === 'undefined') {
+        globalData.isShowMusic = true;
+      }
+    }
+
+    // 设定校验状态
+    if (!!globalData.selectText || globalData.isInputBox || globalData.isLink || globalData.isMediaLink) {
+      globalData.statusCheck = true;
+    }
+  }
+
+  /**
+   * 全局右键监听函数
+   */
+  fn.contextmenu = () => {
+    window.document.oncontextmenu = (event) => {
+      if (event.ctrlKey || document.body.offsetWidth <= 500) {
+        fn.hideMenu();
+        return true;
+      }
+      return fn.menuPosition(event);
+    }
+
+    _rightMenuWrapper.oncontextmenu = (event) => {
+      event.stopPropagation();
+      event.preventDefault();
+      return false;
+    }
+
+    window.removeEventListener('blur', fn.hideMenu);
+    window.addEventListener('blur', fn.hideMenu);
+    document.body.removeEventListener('click', fn.hideMenu);
+    document.body.addEventListener('click', fn.hideMenu);
+  }
+
+  /**
+   * 菜单项事件处理函数
+   */
+  fn.menuEvent = () => {
+    _rightMenuList.forEach(item => {
+      let eventName = item.firstElementChild.getAttribute('data-event');
+      const id = item.firstElementChild.getAttribute('id');
+      const groupName = item.firstElementChild.getAttribute('data-group');
+      if (item.firstElementChild.nodeName === "A") return;
+      item.addEventListener('click', () => {
+        try {
+          if (RightMenus.defaultEvent.every(item => { return eventName !== item })) {
+            if (groupName === 'seletctText') {
+              RightMenusFunction[id](globalData.selectText)
+            } else if (groupName === 'elementCheck') {
+              RightMenusFunction[id](globalData.isLink ? globalData.linkUrl : globalData.mediaLinkUrl)
+            } else if (groupName === 'elementImage') {
+              RightMenusFunction[id](globalData.mediaLinkUrl)
+            } else {
+              RightMenusFunction[id]()
+            }
+          } else {
+            fn[eventName]()
+          }
+        } catch (error) {
+          if (volantis.GLOBAL_CONFIG.debug === "rightMenus") {
+            console.error({
+              id: id,
+              error: error,
+              globalData: globalData,
+              groupName: groupName,
+              eventName: eventName
+            });
+          }
+          if (RightMenus.messageRightMenu) {
+            VolantisApp.message('错误提示', error, {
+              icon: rightMenuConfig.options.iconPrefix + ' fa-exclamation-square red',
+              time: '15000'
+            });
+          }
+        }
+      })
+    })
+
+    if (_forward && _toggle && _forward) {
+      _backward.onclick = (e) => {
+        e.preventDefault();
+        e.stopPropagation();
+        RightMenuAplayer.aplayerBackward();
+      }
+      _toggle.onclick = (e) => {
+        e.preventDefault();
+        e.stopPropagation();
+        RightMenuAplayer.aplayerToggle();
+      }
+      _forward.onclick = (e) => {
+        e.preventDefault();
+        e.stopPropagation();
+        RightMenuAplayer.aplayerForward();
+      }
+    }
+  }
+
+  /**
+   * 隐藏菜单显示
+   */
+  fn.hideMenu = () => {
+    _rightMenuWrapper.style.display = null;
+    _rightMenuWrapper.style.left = null;
+    _rightMenuWrapper.style.top = null;
+  }
+
+  /**
+   * 右键菜单覆盖提示
+   */
+  fn.menuNotic = () => {
+    const NoticeRightMenu = localStorage.getItem('NoticeRightMenu') === 'true';
+    if (RightMenus.messageRightMenu && !NoticeRightMenu)
+      VolantisApp.message('右键菜单', '唤醒原系统菜单请使用：<kbd>Ctrl</kbd> + <kbd>右键</kbd>', {
+        icon: rightMenuConfig.options.iconPrefix + ' fa-exclamation-square red',
+        displayMode: 1,
+        time: 9000
+      }, () => {
+        localStorage.setItem('NoticeRightMenu', 'true')
+      });
+  }
+
+  fn.copyText = () => {
+    VolantisApp.utilWriteClipText(globalData.selectText)
+      .then(() => {
+        if (RightMenus.messageRightMenu) {
+          VolantisApp.messageCopyright();
+        }
+      }).catch(e => {
+        if (RightMenus.messageRightMenu) {
+          VolantisApp.message('系统提示', e, {
+            icon: rightMenuConfig.options.iconPrefix + ' fa-exclamation-square red',
+            displayMode: 1,
+            time: 9000
+          });
+        }
+      })
+  }
+
+  fn.copyLink = () => {
+    VolantisApp.utilWriteClipText(globalData.linkUrl || globalData.mediaLinkUrl)
+      .then(() => {
+        if (RightMenus.messageRightMenu) {
+          VolantisApp.messageCopyright();
+        }
+      }).catch(e => {
+        if (RightMenus.messageRightMenu) {
+          VolantisApp.message('系统提示', e, {
+            icon: rightMenuConfig.options.iconPrefix + ' fa-exclamation-square red',
+            displayMode: 1,
+            time: 9000
+          });
+        }
+      })
+  }
+
+  fn.copyAll = () => {
+    globalData.mouseEvent.target.select();
+  }
+
+  fn.copyPaste = async () => {
+    const result = await RightMenus.readClipboard() || '';
+    if (RightMenus.messageRightMenu && window.clipboardRead === false) {
+      VolantisApp.message('系统提示', '未授予剪切板读取权限！');
+    } else if (RightMenus.messageRightMenu && result === '') {
+      VolantisApp.message('系统提示', '仅支持复制文本内容！');
+    } else {
+      RightMenus.insertAtCaret(globalData.mouseEvent.target, result);
+    }
+  }
+
+  fn.copyCut = () => {
+    const statrPos = globalData.mouseEvent.target.selectionStart;
+    const endPos = globalData.mouseEvent.target.selectionEnd;
+    const inputStr = globalData.inputValue;
+    fn.copyText(globalData.selectText);
+    globalData.mouseEvent.target.value = inputStr.substring(0, statrPos) + inputStr.substring(endPos, inputStr.length);
+    globalData.mouseEvent.target.selectionStart = statrPos;
+    globalData.mouseEvent.target.selectionEnd = statrPos;
+    globalData.mouseEvent.target.focus();
+  }
+
+  fn.copyImg = () => {
+    if (volantis.GLOBAL_CONFIG.plugins.message.rightmenu.notice) {
+      VolantisApp.message('系统提示', '复制中，请等待。', {
+        icon: rightMenuConfig.options.iconPrefix + ' fa-images'
+      })
+    }
+    RightMenus.writeClipImg(globalData.mediaLinkUrl, e => {
+      if (RightMenus.messageRightMenu) {
+        VolantisApp.hideMessage();
+        VolantisApp.message('系统提示', '图片复制成功！', {
+          icon: rightMenuConfig.options.iconPrefix + ' fa-images'
+        });
+      }
+    }, (e) => {
+      console.error(e);
+      if (RightMenus.messageRightMenu) {
+        VolantisApp.hideMessage();
+        VolantisApp.message('系统提示', '复制失败：' + e, {
+          icon: rightMenuConfig.options.iconPrefix + ' fa-exclamation-square red',
+          time: 9000
+        });
+      }
+    })
+  }
+
+  fn.printMode = () => {
+    if (window.location.pathname === globalData.pathName) {
+      if (RightMenus.messageRightMenu) {
+        const message = '是否打印当前页面？<br><em style="font-size: 80%">建议打印时勾选背景图形</em><br>'
+        VolantisApp.question('', message, { time: 9000 }, () => { fn.printHtml() })
+      } else {
+        fn.printHtml()
+      }
+    }
+  }
+
+  fn.printHtml = () => {
+    if (volantis.isReadModel) fn.readMode();
+    DOMController.setAttribute('details', 'open', 'true');
+    DOMController.removeList([
+      '.cus-article-bkg', '.iziToast-overlay', '.iziToast-wrapper', '.prev-next',
+      'footer', '#l_header', '#l_cover', '#l_side', '#comments', '#s-top', '#BKG',
+      '#rightmenu-wrapper', '.nav-tabs', '.parallax-mirror', '.new-meta-item.share', 
+      '.new-meta-box', 'button.btn-copy', 'iframe'
+    ]);
+    DOMController.setStyleList([
+      ['body', 'backgroundColor', 'unset'], ['#l_main, .copyright.license', 'width', '100%'],  
+      ['#post', 'boxShadow', 'none'], ['#post', 'background', 'none'], ['#post', 'padding', '0'],  
+      ['h1', 'textAlign', 'center'], ['h1', 'fontWeight', '600'], ['h1', 'fontSize', '2rem'], ['h1', 'marginBottom', '20px'], 
+      ['.tab-pane', 'display', 'block'], ['.tab-content', 'borderTop', 'none'], ['.highlight>table pre', 'whiteSpace', 'pre-wrap'], 
+      ['.highlight>table pre', 'wordBreak', 'break-all'], ['.fancybox img', 'height', 'auto'], ['.fancybox img', 'weight', 'auto'], 
+      ['.copyright.license', 'margin', '0'], ['.copyright.license', 'padding', '1.25em 20px'],  
+      ['figure.highlight, .copyright.license', 'display', 'inline-block'], 
+    ]);
+    setTimeout(() => {
+      window.print();
+      document.body.innerHTML = '';
+      window.location.reload();
+    }, 50);
+  }
+
+  fn.readMode = () => {
+    if (typeof ScrollReveal === 'function') ScrollReveal().clean('#comments');
+    DOMController.setStyle('#l_header', 'opacity', 0);
+    DOMController.fadeToggleList([
+      document.querySelector('#l_cover'), document.querySelector('footer'),
+      document.querySelector('#s-top'), document.querySelector('.article-meta#bottom'),
+      document.querySelector('.prev-next'), document.querySelector('#l_side'),
+      document.querySelector('#comments'), 
+    ]);
+    DOMController.toggleClassList([
+      [document.querySelector('#l_main'), 'common_read'], [document.querySelector('#l_main'), 'common_read_main'],
+      [document.querySelector('#l_body'), 'common_read'], [document.querySelector('#safearea'), 'common_read'],
+      [document.querySelector('#read_bkg'), 'common_read_hide'], 
+      [document.querySelector('h1'), 'common_read_h1'], [document.querySelector('#post'), 'post_read'],
+      [document.querySelector('#l_cover'), 'read_cover'], [document.querySelector('.widget.toc-wrapper'), 'post_read']
+    ]);
+    DOMController.setStyle('.copyright.license', 'margin', '15px 0');
+    volantis.isReadModel = volantis.isReadModel === undefined ? true : !volantis.isReadModel;
+    if (volantis.isReadModel) {
+      if (RightMenus.messageRightMenu) VolantisApp.message('系统提示', '阅读模式已开启，您可以点击屏幕空白处退出。', {
+        backgroundColor: 'var(--color-read-post)',
+        icon: rightMenuConfig.options.iconPrefix + ' fa-book-reader',
+        displayMode: 1,
+        time: 5000
+      });
+      document.querySelector('#l_body').removeEventListener('click', fn.readMode);
+      document.querySelector('#l_body').addEventListener('click', (event) => {
+        if (DOMController.hasClass(event.target, 'common_read')) {
+          fn.readMode();
+        }
+      });
+    } else {
+      document.querySelector('#l_body').removeEventListener('click', fn.readMode);
+      document.querySelector('#post').removeEventListener('click', fn.readMode);
+      DOMController.setStyle('.prev-next', 'display', 'flex');
+      DOMController.setStyle('.copyright.license', 'margin', '15px -40px');
+    }
+  }
+
+  return {
+    init: fn.initEvent,
+    hideMenu: fn.hideMenu,
+    readMode: fn.readMode
+  }
+})()
+
+Object.freeze(RightMenus);
+volantis.requestAnimationFrame(() => {
+  if (document.readyState !== 'loading') {
+    RightMenus.initialMenu();
+  } else {
+    document.addEventListener("DOMContentLoaded", function () {
+      RightMenus.initialMenu();
+    })
+  }
+});
diff --git a/js/plugins/tags/contributors.js b/js/plugins/tags/contributors.js
new file mode 100644
index 0000000000..6a273f9d43
--- /dev/null
+++ b/js/plugins/tags/contributors.js
@@ -0,0 +1,89 @@
+const ContributorsJS = {
+  requestAPI: (url, callback, timeout) => {
+    let retryTimes = 5;
+
+    function request() {
+      return new Promise((resolve, reject) => {
+        let status = 0; // 0 等待 1 完成 2 超时
+        let timer = setTimeout(() => {
+          if (status === 0) {
+            status = 2;
+            timer = null;
+            reject('请求超时');
+            if (retryTimes == 0) {
+              timeout();
+            }
+          }
+        }, 5000);
+        fetch(url).then(function (response) {
+          if (status !== 2) {
+            clearTimeout(timer);
+            resolve(response);
+            timer = null;
+            status = 1;
+          }
+          if (response.ok) {
+            return response.json();
+          }
+          throw new Error('Network response was not ok.');
+        }).then(function (data) {
+          retryTimes = 0;
+          callback(data);
+        }).catch(function (error) {
+          if (retryTimes > 0) {
+            retryTimes -= 1;
+            setTimeout(() => {
+              request();
+            }, 5000);
+          } else {
+            timeout();
+          }
+        });
+      });
+    }
+    request();
+  },
+  layout: (cfg) => {
+    const el = cfg.el;
+    ContributorsJS.requestAPI(cfg.api, function (data) {
+      el.querySelector('.loading-wrap').remove();
+      var cellALL = "";
+      (data || []).forEach((item, i) => {
+        var user = '<div class="user-card">';
+        user += '<a class="card-link" target="_blank" rel="external noopener noreferrer"';
+        user += ' href="' + item.html_url + '">';
+        user += '<img alt="' + item.login + '" src="' + (item.avatar_url || cfg.avatar) + '" onerror="errorImgAvatar(this)">';
+        user += '<div class="name"><span>' + item.login + '</span></div>';
+        user += '</a>';
+        user += '</div>';
+        cellALL += user;
+      });
+      el.querySelector('.group-body').innerHTML = cellALL;
+    }, function () {
+      try {
+        el.querySelector('.loading-wrap svg').remove();
+        el.querySelector('.loading-wrap p').innerText('加载失败，请稍后重试。');
+      } catch (e) { }
+    });
+  },
+  start: () => {
+    const els = document.getElementsByClassName('contributorsjs-wrap');
+    for (var i = 0; i < els.length; i++) {
+      const el = els[i];
+      const api = el.getAttribute('api');
+      if (api == null) {
+        continue;
+      }
+      var cfg = new Object();
+      cfg.el = el;
+      cfg.api = api;
+      cfg.class = el.getAttribute('class');
+      cfg.avatar = volantis.GLOBAL_CONFIG.default.avatar;
+      ContributorsJS.layout(cfg);
+    }
+  }
+}
+
+
+
+ContributorsJS.start();
\ No newline at end of file
diff --git a/js/plugins/tags/friends.js b/js/plugins/tags/friends.js
new file mode 100644
index 0000000000..8a0201c57c
--- /dev/null
+++ b/js/plugins/tags/friends.js
@@ -0,0 +1,90 @@
+const FriendsJS = {
+  requestAPI: (url, callback, timeout) => {
+    let retryTimes = 5;
+
+    function request() {
+      return new Promise((resolve, reject) => {
+        let status = 0; // 0 等待 1 完成 2 超时
+        let timer = setTimeout(() => {
+          if (status === 0) {
+            status = 2;
+            timer = null;
+            reject('请求超时');
+            if (retryTimes == 0) {
+              timeout();
+            }
+          }
+        }, 5000);
+        fetch(url).then(function (response) {
+          if (status !== 2) {
+            clearTimeout(timer);
+            resolve(response);
+            timer = null;
+            status = 1;
+          }
+          if (response.ok) {
+            return response.json();
+          }
+          throw new Error('Network response was not ok.');
+        }).then(function (data) {
+          retryTimes = 0;
+          callback(data);
+        }).catch(function (error) {
+          if (retryTimes > 0) {
+            retryTimes -= 1;
+            setTimeout(() => {
+              request();
+            }, 5000);
+          } else {
+            timeout();
+          }
+        });
+      });
+    }
+    request();
+  },
+  layout: (cfg) => {
+    const el = cfg.el;
+    FriendsJS.requestAPI(cfg.api, function (data) {
+      el.querySelector('.loading-wrap').remove();
+      const arr = data.content;
+      var cellALL = "";
+      arr.forEach((item, i) => {
+        var user = '<div class="user-card">';
+        user += '<a class="card-link" target="_blank" rel="external noopener noreferrer"';
+        user += ' href="' + item.url + '">';
+        user += '<img alt="' + item.title + '" src="' + (item.avatar || cfg.avatar) + '" onerror="errorImgAvatar(this)">';
+        user += '<div class="name"><span>' + item.title + '</span></div>';
+        user += '</a>';
+        user += '</div>';
+        cellALL += user;
+      });
+      el.querySelector('.group-body').innerHTML = cellALL;
+    }, function () {
+      try {
+        el.querySelector('.loading-wrap svg').remove();
+        el.querySelector('.loading-wrap p').innerText('加载失败，请稍后重试。');
+      } catch (e) { }
+    });
+  },
+  start: () => {
+    const els = document.getElementsByClassName('friendsjs-wrap');
+    for (var i = 0; i < els.length; i++) {
+      const el = els[i];
+      const api = el.getAttribute('api');
+      if (api == null) {
+        continue;
+      }
+      var cfg = new Object();
+      cfg.el = el;
+      cfg.api = api;
+      cfg.class = el.getAttribute('class');
+      cfg.avatar = volantis.GLOBAL_CONFIG.default.avatar;
+      FriendsJS.layout(cfg);
+    }
+  }
+}
+
+
+
+FriendsJS.start();
\ No newline at end of file
diff --git a/js/plugins/tags/sites.js b/js/plugins/tags/sites.js
new file mode 100644
index 0000000000..d85907f74a
--- /dev/null
+++ b/js/plugins/tags/sites.js
@@ -0,0 +1,93 @@
+const SitesJS = {
+  requestAPI: (url, callback, timeout) => {
+    let retryTimes = 5;
+
+    function request() {
+      return new Promise((resolve, reject) => {
+        let status = 0; // 0 等待 1 完成 2 超时
+        let timer = setTimeout(() => {
+          if (status === 0) {
+            status = 2;
+            timer = null;
+            reject('请求超时');
+            if (retryTimes == 0) {
+              timeout();
+            }
+          }
+        }, 5000);
+        fetch(url).then(function (response) {
+          if (status !== 2) {
+            clearTimeout(timer);
+            resolve(response);
+            timer = null;
+            status = 1;
+          }
+          if (response.ok) {
+            return response.json();
+          }
+          throw new Error('Network response was not ok.');
+        }).then(function (data) {
+          retryTimes = 0;
+          callback(data);
+        }).catch(function (error) {
+          if (retryTimes > 0) {
+            retryTimes -= 1;
+            setTimeout(() => {
+              request();
+            }, 5000);
+          } else {
+            timeout();
+          }
+        });
+      });
+    }
+    request();
+  },
+  layout: (cfg) => {
+    const el = cfg.el;
+    SitesJS.requestAPI(cfg.api, function (data) {
+      el.querySelector('.loading-wrap').remove();
+      const arr = data.content;
+      var cellALL = "";
+      arr.forEach((item, i) => {
+        var cell = '<div class="site-card">';
+        cell += '<a class="card-link" target="_blank" rel="external noopener noreferrer" href="' + item.url + '">';
+        cell += '<img alt="' + item.title + '" src="' + (item.screenshot || ('https://image.thum.io/get/width/1024/crop/768/' + item.url)) + '" onerror="errorImgCover(this)"/>';
+        cell += '<div class="info">';
+        cell += '<img alt="' + item.title + '" src="' + (item.avatar || cfg.avatar) + '" onerror="errorImgAvatar(this)"/>';
+        cell += '<span class="title">' + item.title + '</span>';
+        cell += '<span class="desc">' + (item.description || item.url) + '</span>';
+        cell += '</div>';
+        cell += '</a>';
+        cell += '</div>';
+        cellALL += cell;
+      });
+      el.querySelector('.group-body').innerHTML = cellALL;
+    }, function () {
+      try {
+        el.querySelector('.loading-wrap svg').remove();
+        el.querySelector('.loading-wrap p').innerText('加载失败，请稍后重试。');
+      } catch (e) { }
+    });
+  },
+  start: (cfg) => {
+    const els = document.getElementsByClassName('sitesjs-wrap');
+    for (var i = 0; i < els.length; i++) {
+      const el = els[i];
+      const api = el.getAttribute('api');
+      if (api == null) {
+        continue;
+      }
+      var cfg = new Object();
+      cfg.class = el.getAttribute('class');
+      cfg.el = el;
+      cfg.api = api;
+      cfg.avatar = volantis.GLOBAL_CONFIG.default.link;
+      cfg.screenshot = volantis.GLOBAL_CONFIG.default.cover;
+      SitesJS.layout(cfg);
+    }
+  }
+}
+
+
+SitesJS.start();
\ No newline at end of file
diff --git a/js/search/algolia.js b/js/search/algolia.js
new file mode 100644
index 0000000000..513472a51a
--- /dev/null
+++ b/js/search/algolia.js
@@ -0,0 +1,235 @@
+let SearchService = (() => {
+  const fn = {};
+  let search, algolia, timerId; 
+  fn.queryText = null;
+  fn.template = `<div id="u-search">
+  <div class="modal">
+    <header class="modal-header" class="clearfix">
+      <button type="submit" id="u-search-modal-btn-submit" class="u-search-btn-submit">
+        <span class="fa-solid fa-search"></span>
+      </button>
+      <div id="algolia-search-input"></div>
+      <a id="u-search-btn-close" class="btn-close"> <span class="fa-solid fa-times"></span> </a>
+    </header>
+    <main class="modal-body">
+      <div id="algolia-search-results">
+        <div id="algolia-hits">
+          <div class="search-icon"><i class="fa-sharp fa-solid fa-telescope"></i></i></div>
+        </div>
+      </div>
+    </main>
+    <footer>
+      <div id="algolia-pagination"></div>
+      <hr>
+      <div id="algolia-info">
+        <div class="algolia-stats"></div>
+        <div class="algolia-poweredBy"></div>
+      </div>
+    </footer>
+  </div>
+  <div id="modal-overlay" class="modal-overlay"></div>
+  </div>
+  `;
+
+  fn.init = () => {
+    let div = document.createElement("div");
+    div.innerHTML += fn.template;
+    document.body.append(div);
+
+    algolia = volantis.GLOBAL_CONFIG.search;
+    if (algolia.appId && algolia.apiKey && algolia.indexName) {
+      fn.event();
+      fn.setAlgolia();
+    } else {
+      document.querySelector('#u-search main.modal-body').innerHTML = 'Algolia setting is invalid!';
+      document.querySelector('#u-search main.modal-body').style.textAlign = 'center';
+      document.querySelector('#u-search .modal').style.maxHeight = '128px';
+    }
+  }
+
+  fn.event = () => {
+    document
+      .querySelector("#u-search-btn-close")
+      .addEventListener("click", fn.close, false);
+    document
+      .querySelector("#modal-overlay")
+      .addEventListener("click", fn.close, false);
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", fn.onSubmit, false);
+    });
+    document.querySelector("#algolia-search-input").addEventListener("input", event => {
+      let input = event.target.querySelector(".ais-SearchBox-input");
+      if (input) {
+        fn.queryText = input.value;
+      } else {
+        fn.queryText = event.target.value;
+      }
+    })
+  }
+
+  fn.setAlgolia = () => {
+    search = instantsearch({
+      indexName: algolia.indexName,
+      searchClient: algoliasearch(algolia.appId, algolia.apiKey),
+      searchFunction(helper) {
+        helper.state.query && helper.search()
+      },
+    })
+
+    const configure = instantsearch.widgets.configure({
+      hitsPerPage: algolia.hitsPerPage
+    })
+
+    const searchBox = instantsearch.widgets.searchBox({
+      container: '#algolia-search-input',
+      autofocus: true,
+      showReset: false,
+      showSubmit: false,
+      showLoadingIndicator: false,
+      searchAsYouType: algolia.searchAsYouType,
+      placeholder: algolia.placeholder,
+      templates: {
+        input: 'algolia-input'
+      },
+      queryHook(query, refine) {
+        clearTimeout(timerId)
+        timerId = setTimeout(() => refine(query), 500)
+      }
+    })
+
+    const hits = instantsearch.widgets.hits({
+      container: '#algolia-hits',
+      templates: {
+        item(data) {
+          const keyword = !!fn.queryText ? `?keyword=${fn.queryText}` : ''
+          const link = data.permalink ? data.permalink : `${volantis.GLOBAL_CONFIG.root}${data.path}`
+          const result = data._highlightResult
+          const content = result.contentStripTruncate
+            ? fn.cutContent(result.contentStripTruncate.value)
+            : result.contentStrip
+              ? fn.cutContent(result.contentStrip.value)
+              : result.content
+                ? fn.cutContent(result.content.value)
+                : ''
+          return `
+            <a href="${link}${keyword}" class="result">
+            <span class="title">${result.title.value || 'no-title'}</span>
+            <span class="digest">${content}</span>
+            </a>`
+        },
+        empty: function (data) {
+          return (
+            `<div id="resule-hits-empty"><i class="fa-solid fa-box-open"></i><p>${volantis.GLOBAL_CONFIG.languages.search.hits_empty.replace(/\$\{query}/, data.query)}</p></div>`
+          )
+        }
+      }
+    })
+
+    const stats = instantsearch.widgets.stats({
+      container: '#algolia-info > .algolia-stats',
+      templates: {
+        text: function (data) {
+          const stats = volantis.GLOBAL_CONFIG.languages.search.hits_stats
+            .replace(/\$\{hits}/, data.nbHits)
+            .replace(/\$\{time}/, data.processingTimeMS)
+          return (
+            `${stats}`
+          )
+        }
+      }
+    })
+
+    const powerBy = instantsearch.widgets.poweredBy({
+      container: '#algolia-info > .algolia-poweredBy',
+      theme: volantis.dark?.mode === 'dark' ? 'dark' : 'light'
+    })
+
+    const pagination = instantsearch.widgets.pagination({
+      container: '#algolia-pagination',
+      totalPages: 5,
+      templates: {
+        first: '<i class="fas fa-angle-double-left"></i>',
+        last: '<i class="fas fa-angle-double-right"></i>',
+        previous: '<i class="fas fa-angle-left"></i>',
+        next: '<i class="fas fa-angle-right"></i>'
+      }
+    })
+
+    search.addWidgets([configure, searchBox, hits, stats, powerBy, pagination])
+
+    search.start()
+
+  }
+
+  fn.setQueryText = queryText => {
+    fn.queryText = queryText;
+    if (!search) {
+      fn.init()
+    }
+    search?.setUiState({
+      [algolia.indexName]: {
+        query: queryText
+      }
+    })
+  }
+
+  fn.search = () => {
+    document.querySelector("#u-search").style.display = "block";
+    document.addEventListener("keydown", event => {
+      if (event.code === "Escape") {
+        fn.close();
+      }
+    }, { once: true })
+  }
+
+  fn.onSubmit = (event) => {
+    event.preventDefault();
+    let input = event.target.querySelector(".u-search-input");
+    fn.setQueryText(input?.value ? input.value : event.target.value)
+    fn.search();
+  };
+
+  fn.cutContent = content => {
+    if (content === '') return ''
+
+    const firstOccur = content.indexOf('<mark>')
+
+    let start = firstOccur - 30
+    let end = firstOccur + 120
+    let pre = ''
+    let post = ''
+
+    if (start <= 0) {
+      start = 0
+      end = 140
+    } else {
+      pre = '...'
+    }
+
+    if (end > content.length) {
+      end = content.length
+    } else {
+      post = '...'
+    }
+
+    let matchContent = pre + content.substring(start, end) + post
+    return matchContent
+  }
+
+  fn.close = () => {
+    document.querySelector("#u-search").style.display = "none";
+  };
+
+  return {
+    init: fn.init,
+    setQueryText: queryText => {
+      fn.setQueryText(queryText);
+    },
+    search: fn.search,
+    close: fn.close
+  }
+})()
+
+Object.freeze(SearchService);
+
+SearchService.init();
diff --git a/js/search/hexo.js b/js/search/hexo.js
new file mode 100644
index 0000000000..20936d9b3d
--- /dev/null
+++ b/js/search/hexo.js
@@ -0,0 +1,193 @@
+let SearchService = (() => {
+  const fn = {};
+  fn.queryText = null;
+  fn.data = null;
+  fn.template = `<div id="u-search">
+  <div class="modal">
+    <header class="modal-header" class="clearfix">
+      <form id="u-search-modal-form" class="u-search-form" name="uSearchModalForm">
+        <input type="text" id="u-search-modal-input" class="u-search-input" />
+        <button type="submit" id="u-search-modal-btn-submit" class="u-search-btn-submit">
+          <span class="fa-solid fa-search"></span>
+        </button>
+      </form>
+      <a id="u-search-btn-close" class="btn-close"> <span class="fa-solid fa-times"></span> </a>
+    </header>
+    <main class="modal-body">
+      <ul class="modal-results"></ul>
+    </main>
+  </div>
+  <div id="modal-overlay" class="modal-overlay"></div>
+</div>
+`;
+  fn.init = async () => {
+    let div = document.createElement("div");
+    div.innerHTML += fn.template;
+    document.body.append(div);
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", fn.onSubmit, false);
+    });
+    let uSearchModalInput = document.querySelector("#u-search-modal-input");
+    uSearchModalInput.addEventListener("input", fn.onSubmit);
+    document
+      .querySelector("#u-search-btn-close")
+      .addEventListener("click", fn.close, false);
+    document
+      .querySelector("#modal-overlay")
+      .addEventListener("click", fn.close, false);
+    if (!fn.data) {
+      fn.data = await fn.fetchData();
+    }
+  };
+  fn.onSubmit = (event) => {
+    event.preventDefault();
+    let input = event.target.querySelector(".u-search-input");
+    if (input) {
+      fn.queryText = input.value;
+    } else {
+      fn.queryText = event.target.value;
+    }
+
+    if (fn.queryText) {
+      fn.search();
+    }
+  };
+  fn.search = async () => {
+    document.querySelectorAll(".u-search-input").forEach((e) => {
+      e.value = fn.queryText;
+    });
+    document.querySelector("#u-search").style.display = "block";
+    if (!fn.data) {
+      fn.data = await fn.fetchData();
+    }
+    let results = "";
+    results += fn.buildResultList(fn.data.pages);
+    results += fn.buildResultList(fn.data.posts);
+    if (results === "") {
+      results = `<div id="resule-hits-empty"><i class="fa-solid fa-box-open"></i><p>${volantis.GLOBAL_CONFIG.languages.search.hits_empty.replace(/\$\{query}/, fn.queryText)}</p></div>`
+    }
+    document.querySelector("#u-search .modal-results").innerHTML = results;
+    document.addEventListener("keydown", function f(event) {
+      if (event.code === "Escape") {
+        fn.close();
+        document.removeEventListener("keydown", f);
+      }
+    });
+  };
+  fn.close = () => {
+    document.querySelector("#u-search").style.display = "none";
+  };
+  fn.fetchData = () => {
+    return fetch(volantis.GLOBAL_CONFIG.search.dataPath)
+      .then((response) => response.text())
+      .then((res) => {
+        const data = JSON.parse(res);
+        // console.log(data);
+        return data;
+      });
+  };
+  fn.buildResultList = (data) => {
+    let html = "";
+    data.forEach((post) => {
+      if (post.text) {
+        post.text = post.text.replace(/12345\d*/g, "") // 简易移除代码行号
+      }
+      if (!post.title && post.text) {
+        post.title = post.text.trim().slice(0, 15)
+      }
+      if (fn.contentSearch(post)) {
+        html += fn.buildResult(post.permalink, post.title, post.digest);
+      }
+    });
+    return html;
+  };
+  fn.contentSearch = (post) => {
+    let post_title = post.title.trim().toLowerCase();
+    let post_content = post.text.trim().toLowerCase();
+    let keywords = fn.queryText
+      .trim()
+      .toLowerCase()
+      .split(/[-\s]+/);
+    let foundMatch = false;
+    let index_title = -1;
+    let index_content = -1;
+    let first_occur = -1;
+    if (post_title && post_content) {
+      keywords.forEach((word, index) => {
+        index_title = post_title.indexOf(word);
+        index_content = post_content.indexOf(word);
+        if (index_title < 0 && index_content < 0) {
+          foundMatch = false;
+        } else {
+          foundMatch = true;
+          if (index_content < 0) {
+            index_content = 0;
+          }
+          if (index === 0) {
+            first_occur = index_content;
+          }
+        }
+        if (foundMatch) {
+          post_content = post.text.trim();
+          let start = 0;
+          let end = 0;
+          if (first_occur >= 0) {
+            start = Math.max(first_occur - 40, 0);
+            end =
+              start === 0
+                ? Math.min(200, post_content.length)
+                : Math.min(first_occur + 120, post_content.length);
+            let match_content = post_content.substring(start, end);
+            keywords.forEach(function (keyword) {
+              let regS = new RegExp(keyword, "gi");
+              match_content = match_content.replace(
+                regS,
+                "<b mark>" + keyword + "</b>"
+              );
+            });
+            post.digest = match_content + "......";
+          } else {
+            end = Math.min(200, post_content.length);
+            post.digest = post_content.trim().substring(0, end);
+          }
+        }
+      });
+    }
+    return foundMatch;
+  };
+  fn.buildResult = (url, title, digest) => {
+    let result = fn.getUrlRelativePath(url);
+    let html = "";
+    html += "<li>";
+    html +=
+      "<a class='result' href='" + result + "?keyword=" + fn.queryText + "'>";
+    html += "<span class='title'>" + title + "</span>";
+    if (digest !== "") html += "<span class='digest'>" + digest + "</span>";
+    html += "</a>";
+    html += "</li>";
+    return html;
+  };
+  fn.getUrlRelativePath = function (url) {
+    let arrUrl = url.split("//");
+    let start = arrUrl[1].indexOf("/");
+    let relUrl = arrUrl[1].substring(start);
+    if (relUrl.indexOf("?") != -1) {
+      relUrl = relUrl.split("?")[0];
+    }
+    return relUrl;
+  };
+  return {
+    init: () => {
+      fn.init();
+    },
+    setQueryText: (queryText) => {
+      fn.queryText = queryText;
+    },
+    search: () => {
+      fn.search();
+    },
+  };
+})();
+Object.freeze(SearchService);
+
+SearchService.init();
diff --git a/js/search/meilisearch.js b/js/search/meilisearch.js
new file mode 100644
index 0000000000..1e5aaa7374
--- /dev/null
+++ b/js/search/meilisearch.js
@@ -0,0 +1,216 @@
+let SearchService = (() => {
+  const fn = {};
+  let search, meilisearch, timerId; 
+  fn.queryText = null;
+  fn.template = `<div id="u-search">
+  <div class="modal">
+    <header class="modal-header" class="clearfix">
+      <button type="submit" id="u-search-modal-btn-submit" class="u-search-btn-submit">
+        <span class="fa-solid fa-search"></span>
+      </button>
+      <div id="meilisearch-search-input"></div>
+      <a id="u-search-btn-close" class="btn-close"> <span class="fa-solid fa-times"></span> </a>
+    </header>
+    <main class="modal-body">
+      <div id="meilisearch-search-results">
+        <div id="meilisearch-hits">
+          <div class="search-icon"><i class="fa-sharp fa-solid fa-telescope"></i></i></div>
+        </div>
+      </div>
+    </main>
+    <footer>
+      <hr>
+      <div id="meilisearch-info">
+        <div class="meilisearch-stats"></div>
+        <div class="meilisearch-poweredBy">
+          <a href="https://www.meilisearch.com" titile="meilisearch" target="_blank">
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+          </a>
+        </div>
+      </div>
+    </footer>
+  </div>
+  <div id="modal-overlay" class="modal-overlay"></div>
+  </div>
+  `;
+
+  fn.init = () => {
+    let div = document.createElement("div");
+    div.innerHTML += fn.template;
+    document.body.append(div);
+
+    meilisearch = volantis.GLOBAL_CONFIG.search;
+    if (meilisearch.appId && meilisearch.apiKey && meilisearch.indexName) {
+      fn.event();
+      fn.setAlgolia();
+    } else {
+      document.querySelector('#u-search main.modal-body').innerHTML = 'Algolia setting is invalid!';
+      document.querySelector('#u-search main.modal-body').style.textAlign = 'center';
+      document.querySelector('#u-search .modal').style.maxHeight = '128px';
+    }
+  }
+
+  fn.event = () => {
+    document
+      .querySelector("#u-search-btn-close")
+      .addEventListener("click", fn.close, false);
+    document
+      .querySelector("#modal-overlay")
+      .addEventListener("click", fn.close, false);
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", fn.onSubmit, false);
+    });
+    document.querySelector("#meilisearch-search-input").addEventListener("input", event => {
+      let input = event.target.querySelector(".ais-SearchBox-input");
+      if (input) {
+        fn.queryText = input.value;
+      } else {
+        fn.queryText = event.target.value;
+      }
+    })
+  }
+
+  fn.setAlgolia = () => {
+    search = instantsearch({
+      indexName: meilisearch.indexName,
+      searchClient: instantMeiliSearch(meilisearch.appId, meilisearch.apiKey),
+      searchFunction(helper) {
+        helper.state.query && helper.search()
+      },
+    })
+
+    const configure = instantsearch.widgets.configure({
+      hitsPerPage: meilisearch.hitsPerPage
+    })
+
+    const searchBox = instantsearch.widgets.searchBox({
+      container: '#meilisearch-search-input',
+      autofocus: true,
+      showReset: false,
+      showSubmit: false,
+      showLoadingIndicator: false,
+      searchAsYouType: meilisearch.searchAsYouType,
+      placeholder: meilisearch.placeholder,
+      templates: {
+        input: 'meilisearch-input'
+      },
+      queryHook(query, refine) {
+        clearTimeout(timerId)
+        timerId = setTimeout(() => refine(query), 500)
+      }
+    })
+
+    const hits = instantsearch.widgets.hits({
+      container: '#meilisearch-hits',
+      templates: {
+        item(data) {
+          const keyword = !!fn.queryText ? `?keyword=${fn.queryText}` : ''
+          const link = data.permalink ? data.permalink : `${volantis.GLOBAL_CONFIG.root}${data.path}`
+          const result = data._highlightResult
+          const content = fn.cutContent(result.text.value)
+          return `
+            <a href="${link}${keyword}" class="result">
+            <span class="title">${result.title.value || 'no-title'}</span>
+            <span class="digest">${content}</span>
+            </a>`
+        },
+        empty: function (data) {
+          return (
+            `<div id="resule-hits-empty"><i class="fa-solid fa-box-open"></i><p>${volantis.GLOBAL_CONFIG.languages.search.hits_empty.replace(/\$\{query}/, data.query)}</p></div>`
+          )
+        }
+      }
+    })
+
+    const stats = instantsearch.widgets.stats({
+      container: '#meilisearch-info > .meilisearch-stats',
+      templates: {
+        text: function (data) {
+          const stats = volantis.GLOBAL_CONFIG.languages.search.hits_stats
+            .replace(/\$\{hits}/, data.nbHits)
+            .replace(/\$\{time}/, data.processingTimeMS)
+          return (
+            `${stats}`
+          )
+        }
+      }
+    })
+
+    search.addWidgets([searchBox, hits, stats])
+
+    search.start()
+
+  }
+
+  fn.setQueryText = queryText => {
+    fn.queryText = queryText;
+    if (!search) {
+      fn.init()
+    }
+    search?.setUiState({
+      [meilisearch.indexName]: {
+        query: queryText
+      }
+    })
+  }
+
+  fn.search = () => {
+    document.querySelector("#u-search").style.display = "block";
+    document.addEventListener("keydown", event => {
+      if (event.code === "Escape") {
+        fn.close();
+      }
+    }, { once: true })
+  }
+
+  fn.onSubmit = (event) => {
+    event.preventDefault();
+    let input = event.target.querySelector(".u-search-input");
+    fn.setQueryText(input?.value ? input.value : event.target.value)
+    fn.search();
+  };
+
+  fn.cutContent = content => {
+    if (content === '') return ''
+
+    const firstOccur = content.indexOf('<mark>')
+
+    let start = firstOccur - 30
+    let end = firstOccur + 120
+    let pre = ''
+    let post = ''
+
+    if (start <= 0) {
+      start = 0
+      end = 140
+    } else {
+      pre = '...'
+    }
+
+    if (end > content.length) {
+      end = content.length
+    } else {
+      post = '...'
+    }
+
+    let matchContent = pre + content.substring(start, end) + post
+    return matchContent
+  }
+
+  fn.close = () => {
+    document.querySelector("#u-search").style.display = "none";
+  };
+
+  return {
+    init: fn.init,
+    setQueryText: queryText => {
+      fn.setQueryText(queryText);
+    },
+    search: fn.search,
+    close: fn.close
+  }
+})()
+
+Object.freeze(SearchService);
+
+SearchService.init();
diff --git a/latex-symbols/index.html b/latex-symbols/index.html
new file mode 100644
index 0000000000..37b5d2c222
--- /dev/null
+++ b/latex-symbols/index.html
@@ -0,0 +1,4431 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/latex-symbols/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Latex常用符号大全 - JustPureH2O的博客</title>
+  <meta name="keywords" content="latex,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="Latex常用符号大全">
+<meta property="og:url" content="https://justpureh2o.github.io/latex-symbols/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="Part1. 运算符 Div1. 基本运算 加号：，键盘上有 减号：，键盘上有 乘号（叉乘）:  \times 乘号（数量积&#x2F;点乘）： \cdot 除号： \div 开方&#x2F;N次方根： \sqrt[N]{ABC} 乘方&#x2F;N次幂： A^N 下标： A_N 分数： \frac{A}{B} 等于号：，键盘上有 约等号： \approx 加粗  \thickapprox 不等号： \neq 恒等号&#x2F;定义为：">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-11-12T09:23:35.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="latex">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/latex-symbols/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        Latex常用符号大全
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-12T09:23:35+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 12, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <h3 id="part1.-运算符">Part1. 运算符</h3>
+<h4 id="div1.-基本运算">Div1. 基本运算</h4>
+<p>加号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.505ex" role="img" focusable="false" viewBox="0 -583 778 665"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></svg></mjx-container></span>，键盘上有</p>
+<p>减号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.505ex" role="img" focusable="false" viewBox="0 -583 778 665"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g></g></g></svg></mjx-container></span>，键盘上有</p>
+<p>乘号（叉乘）: <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="0.036ex" height="0.036ex" role="img" focusable="false" viewBox="0 0 16 16"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"></g></g></svg></mjx-container> <code>\times</code></p>
+<p>乘号（数量积/点乘）：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.43ex;" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="0.271ex" role="img" focusable="false" viewBox="0 -310 278 120"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g></g></g></svg></mjx-container></span>
+<code>\cdot</code></p>
+<p>除号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.081ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.296ex" role="img" focusable="false" viewBox="0 -537 778 573"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g></g></g></svg></mjx-container></span> <code>\div</code></p>
+<p>开方/N次方根：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.193ex;" xmlns="http://www.w3.org/2000/svg" width="7.063ex" height="2.398ex" role="img" focusable="false" viewBox="0 -974.5 3122 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mroot"><g><g data-mml-node="mrow" transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(1509,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g><g data-mml-node="mi" transform="translate(67.8,464.5) scale(0.5)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(0,114.5)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="2269" height="60" x="853" y="854.5"></rect></g></g></g></svg></mjx-container></span>
+<code>\sqrt[N]{ABC}</code></p>
+<p>乘方/N次幂：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.305ex" height="1.914ex" role="img" focusable="false" viewBox="0 -846 1460.9 846"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></g></svg></mjx-container></span>
+<code>A^N</code></p>
+<p>下标：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="3.305ex" height="1.959ex" role="img" focusable="false" viewBox="0 -716 1460.9 866"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,-150) scale(0.707)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></g></svg></mjx-container></span> <code>A_N</code></p>
+<p>分数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.781ex;" xmlns="http://www.w3.org/2000/svg" width="2.21ex" height="2.817ex" role="img" focusable="false" viewBox="0 -900.3 976.7 1245.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(223.2,394) scale(0.707)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><rect width="736.7" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>
+<code>\frac{A}{B}</code></p>
+<p>等于号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.505ex" role="img" focusable="false" viewBox="0 -583 778 665"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g></g></g></svg></mjx-container></span>，键盘上有</p>
+<p>约等号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.124ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.968ex" role="img" focusable="false" viewBox="0 -483 778 428"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2248" d="M55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85Z"></path></g></g></g></svg></mjx-container></span>
+<code>\approx</code> 加粗 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.113ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.975ex" role="img" focusable="false" viewBox="0 -481 778 431"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2248" d="M55 326Q55 394 101 437T226 481Q268 479 313 460T392 419T469 379T555 361Q622 361 662 401Q686 423 688 450Q693 479 702 479H705Q719 479 719 442Q719 367 670 327T554 286Q512 286 466 304T386 345T307 385T220 404Q184 404 157 394T120 374L111 363Q86 339 86 317Q86 288 71 288Q55 288 55 326ZM55 90Q55 164 105 205T226 246Q269 243 314 224T392 183T470 144T558 126Q622 126 662 166Q686 187 688 214Q693 244 704 244Q716 244 719 210Q719 165 702 132T658 82T605 58T552 50T498 58T447 77T384 110Q322 146 302 152Q263 168 220 168Q179 168 144 152Q128 147 107 125T86 81Q86 52 71 52Q55 52 55 90Z"></path></g></g></g></svg></mjx-container></span>
+<code>\thickapprox</code></p>
+<p>不等号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 778 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g></g></g></svg></mjx-container></span>
+<code>\neq</code></p>
+<p>恒等号/定义为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.081ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.968ex" role="img" focusable="false" viewBox="0 -464 778 428"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g></g></g></svg></mjx-container></span>
+<code>\equiv</code></p>
+<p>大于号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.312ex" role="img" focusable="false" viewBox="0 -540 778 580"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g></g></g></svg></mjx-container></span> <code>\gt</code></p>
+<p>小于号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.312ex" role="img" focusable="false" viewBox="0 -540 778 580"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g></g></g></svg></mjx-container></span> <code>\lt</code></p>
+<p>大于等于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.751ex" role="img" focusable="false" viewBox="0 -636 778 774"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g></g></g></svg></mjx-container></span>
+<code>\geq</code></p>
+<p>小于等于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.751ex" role="img" focusable="false" viewBox="0 -636 778 774"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g></g></g></svg></mjx-container></span>
+<code>\leq</code></p>
+<p>远大于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.152ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.434ex" role="img" focusable="false" viewBox="0 -567 1000 634"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="226B" d="M55 539T55 547T60 561T74 567Q81 567 207 498Q297 449 365 412Q633 265 636 261Q639 255 639 250Q639 241 626 232Q614 224 365 88Q83 -65 79 -66Q76 -67 73 -67Q65 -67 60 -61T55 -47Q55 -39 61 -33Q62 -33 95 -15T193 39T320 109L321 110H322L323 111H324L325 112L326 113H327L329 114H330L331 115H332L333 116L334 117H335L336 118H337L338 119H339L340 120L341 121H342L343 122H344L345 123H346L347 124L348 125H349L351 126H352L353 127H354L355 128L356 129H357L358 130H359L360 131H361L362 132L363 133H364L365 134H366L367 135H368L369 136H370L371 137L372 138H373L374 139H375L376 140L378 141L576 251Q63 530 62 533Q55 539 55 547ZM360 539T360 547T365 561T379 567Q386 567 512 498Q602 449 670 412Q938 265 941 261Q944 255 944 250Q944 241 931 232Q919 224 670 88Q388 -65 384 -66Q381 -67 378 -67Q370 -67 365 -61T360 -47Q360 -39 366 -33Q367 -33 400 -15T498 39T625 109L626 110H627L628 111H629L630 112L631 113H632L634 114H635L636 115H637L638 116L639 117H640L641 118H642L643 119H644L645 120L646 121H647L648 122H649L650 123H651L652 124L653 125H654L656 126H657L658 127H659L660 128L661 129H662L663 130H664L665 131H666L667 132L668 133H669L670 134H671L672 135H673L674 136H675L676 137L677 138H678L679 139H680L681 140L683 141L881 251Q368 530 367 533Q360 539 360 547Z"></path></g></g></g></svg></mjx-container></span> <code>\gg</code></p>
+<p>远小于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.152ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.437ex" role="img" focusable="false" viewBox="0 -568 1000 635"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="226A" d="M639 -48Q639 -54 634 -60T619 -67H618Q612 -67 536 -26Q430 33 329 88Q61 235 59 239Q56 243 56 250T59 261Q62 266 336 415T615 567L619 568Q622 567 625 567Q639 562 639 548Q639 540 633 534Q632 532 374 391L117 250L374 109Q632 -32 633 -34Q639 -40 639 -48ZM944 -48Q944 -54 939 -60T924 -67H923Q917 -67 841 -26Q735 33 634 88Q366 235 364 239Q361 243 361 250T364 261Q367 266 641 415T920 567L924 568Q927 567 930 567Q944 562 944 548Q944 540 938 534Q937 532 679 391L422 250L679 109Q937 -32 938 -34Q944 -40 944 -48Z"></path></g></g></g></svg></mjx-container></span> <code>\ll</code></p>
+<p>正负：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g></g></g></svg></mjx-container></span> <code>\pm</code></p>
+<p>负正：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.376ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -500 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2213" d="M56 467T56 480T70 500H707Q722 492 722 480T707 460H409V187H707Q722 179 722 167Q722 154 707 147H409V0V-93Q409 -144 406 -155T389 -166Q376 -166 372 -155T368 -105Q368 -96 368 -62T369 -2V147H70Q56 154 56 167T70 187H369V460H70Q56 467 56 480Z"></path></g></g></g></svg></mjx-container></span> <code>\mp</code></p>
+<h4 id="div.2-几何表示">Div.2 几何表示</h4>
+<p>垂直：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.511ex" role="img" focusable="false" viewBox="0 -668 778 668"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="22A5" d="M369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652Z"></path></g></g></g></svg></mjx-container></span>
+<code>\perp</code></p>
+<p>平行：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 500 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2225" d="M133 736Q138 750 153 750Q164 750 170 739Q172 735 172 250T170 -239Q164 -250 152 -250Q144 -250 138 -244L137 -243Q133 -241 133 -179T132 250Q132 731 133 736ZM329 739Q334 750 346 750Q353 750 361 744L362 743Q366 741 366 679T367 250T367 -178T362 -243L361 -244Q355 -250 347 -250Q335 -250 329 -239Q327 -235 327 250T329 739Z"></path></g></g></g></svg></mjx-container></span>
+<code>\parallel</code></p>
+<p>角/无标记角：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.633ex" height="1.57ex" role="img" focusable="false" viewBox="0 -694 722 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2220" d="M71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q67 43 346 361Q397 420 474 508Q595 648 616 671T647 694T661 688T666 674Q666 668 663 663Q662 662 627 622T524 503T390 350L120 41L386 40H653Q666 30 666 20Q666 8 651 0H71Z"></path></g></g></g></svg></mjx-container></span>
+<code>\angle</code></p>
+<p>角/标记角：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.045ex;" xmlns="http://www.w3.org/2000/svg" width="1.633ex" height="1.661ex" role="img" focusable="false" viewBox="0 -714 722 734"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2221" d="M71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q64 38 348 373T638 712Q644 714 646 714Q653 714 659 709T666 694V693Q666 687 633 647Q619 631 576 580Q528 524 495 485Q336 296 329 289Q328 288 348 264T395 182T433 54L434 40H651Q666 32 666 20T651 0H436Q431 -20 416 -20Q400 -20 396 -4V0H71ZM394 40Q394 51 389 76T366 149T319 234L302 256L119 41L256 40H394Z"></path></g></g></g></svg></mjx-container></span>
+<code>\measuredangle</code></p>
+<p>一般全等：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.283ex" role="img" focusable="false" viewBox="0 -589 778 567"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2245" d="M55 388Q55 463 101 526T222 589Q260 589 296 571T362 526T421 474T484 430T554 411Q616 411 655 458T694 560Q694 572 698 580T708 589Q722 589 722 556Q722 482 677 419T562 356H554Q517 356 481 374T414 418T355 471T292 515T223 533Q179 533 145 508Q109 479 96 440T80 378T69 355Q55 355 55 388ZM56 236Q56 249 70 256H707Q722 248 722 236Q722 225 708 217L390 216H72Q56 221 56 236ZM56 42Q56 57 72 62H708Q722 52 722 42Q722 30 707 22H70Q56 29 56 42Z"></path></g></g></g></svg></mjx-container></span>
+<code>\cong</code></p>
+<p>相似：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.301ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.529ex" role="img" focusable="false" viewBox="0 -367 778 234"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="223C" d="M55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166Z"></path></g></g></g></svg></mjx-container></span>
+<code>\sim</code>，加粗 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.299ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.527ex" role="img" focusable="false" viewBox="0 -365 778 233"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="223C" d="M73 132Q55 132 55 172Q55 220 79 272Q95 301 111 319Q148 353 195 363Q199 364 212 364Q262 364 294 350T408 272Q472 222 522 212Q537 208 555 208Q606 208 646 243Q671 268 680 296T691 342T702 365Q713 365 716 354T719 314Q714 236 664 179L660 176Q657 173 654 170T644 163T631 154T615 146T596 139T574 134T549 132Q510 132 465 156T386 211T307 265T223 290Q162 290 124 249T86 165Q86 155 82 144T73 132Z"></path></g></g></g></svg></mjx-container></span>
+<code>\thicksim</code></p>
+<p>三角形：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.011ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 889 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="25B3" d="M75 0L72 2Q69 3 67 5T62 11T59 20Q59 24 62 30Q65 37 245 370T428 707Q428 708 430 710T436 714T444 716Q451 716 455 712Q459 710 644 368L828 27V20Q828 7 814 0H75ZM610 347L444 653Q443 653 278 347T113 40H775Q775 42 610 347Z"></path></g></g></g></svg></mjx-container></span>
+<code>\triangle</code></p>
+<p>正方形：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.559ex" role="img" focusable="false" viewBox="0 -689 778 689"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="25FB" d="M71 0Q59 4 55 16V346L56 676Q64 686 70 689H709Q719 681 722 674V15Q719 10 709 1L390 0H71ZM682 40V649H95V40H682Z"></path></g></g></g></svg></mjx-container></span>
+<code>\square</code></p>
+<p>圆：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2299" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM682 250Q682 322 649 387T546 497T381 542Q272 542 184 459T95 250Q95 132 178 45T389 -42Q515 -42 598 45T682 250ZM311 250Q311 285 332 304T375 328Q376 328 382 328T392 329Q424 326 445 305T466 250Q466 217 445 195T389 172Q354 172 333 195T311 250Z"></path></g></g></g></svg></mjx-container></span> <code>\odot</code></p>
+<p>向量：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="2.532ex" role="img" focusable="false" viewBox="0 -1119 1509 1119"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g><g data-mml-node="mo" transform="translate(754.5,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\vec_{AB}</code> 或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="3.588ex" role="img" focusable="false" viewBox="0 -1586 1509 1586"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g><g data-mml-node="mo" transform="translate(0,903)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z" transform="translate(509,0)"></path><svg width="609" height="865" x="0" y="-182" viewBox="152.2 -182 609 865"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z" transform="scale(1.174,1)"></path></svg></g></g></g></g></svg></mjx-container></span>
+<code>\overrightarrow{AB}</code></p>
+<h4 id="div.3-集合">Div.3 集合</h4>
+<p>属于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.312ex" role="img" focusable="false" viewBox="0 -540 667 580"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g></g></g></svg></mjx-container></span> <code>\in</code></p>
+<p>不属于：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 667 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2209" d="M196 25Q84 109 84 250Q84 372 166 450T360 539Q361 539 375 539T413 540T460 540L547 707Q550 716 563 716Q570 716 575 712T581 703T583 696T505 540H568Q583 532 583 520Q583 511 570 501L484 500L366 270H568Q583 262 583 250T568 230H346L247 38Q284 16 328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 447 -40T419 -41Q304 -41 228 3Q117 -211 115 -212Q111 -215 104 -215T92 -212T86 -204T84 -197Q84 -190 89 -183L196 25ZM214 61L301 230H124V228Q124 196 147 147T214 61ZM321 270L440 500Q353 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H321Z"></path></g></g></g></svg></mjx-container></span>
+<code>\notin</code></p>
+<p>子集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.19ex" role="img" focusable="false" viewBox="0 -753 778 968"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2AC5" d="M84 463Q84 585 166 663T360 752Q361 752 370 752T395 752T430 752T475 753T524 753H679Q694 746 694 733Q694 724 681 714L522 713H470H441Q366 713 338 709T266 685Q244 674 224 659T179 617T139 550T124 463V458Q124 370 185 302Q244 238 328 220Q348 215 366 215T522 213H681Q694 203 694 193Q694 180 679 173H526Q510 173 480 173T434 172Q350 172 289 188T172 258Q84 340 84 463ZM84 -14T84 -1T98 19H679Q694 11 694 -1Q694 -14 679 -21H98Q84 -14 84 -1ZM84 -208T84 -195T98 -175H679Q694 -183 694 -195Q694 -208 679 -215H98Q84 -208 84 -195Z"></path></g></g></g></svg></mjx-container></span>
+<code>\subseteqq</code></p>
+<p>真子集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.751ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.452ex" role="img" focusable="false" viewBox="0 -752 778 1084"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2ACB" d="M82 -14T82 -7T95 15H431L529 170H435Q341 170 333 175Q149 218 98 368Q84 406 84 461Q84 515 98 555Q126 633 193 686T346 750Q347 750 373 750T440 751T520 752H680Q693 739 693 732Q693 727 680 712H526Q364 712 353 710Q268 700 207 646T126 512Q123 496 123 461T126 410Q141 350 180 304T280 232Q312 217 344 214T464 210H555L589 261Q613 301 620 311T635 321Q644 321 650 315T657 301Q657 296 651 286T630 252T604 212Q604 210 642 210H680Q693 197 693 190Q693 186 692 184T686 177T680 170H578L526 92L478 17L580 15H682Q693 4 693 -4T680 -25H451L353 -179L518 -181H682Q694 -193 694 -201Q694 -211 682 -219L504 -221H326L293 -272Q257 -332 246 -332Q238 -332 232 -326T225 -313Q225 -310 226 -308Q226 -305 251 -265T278 -223Q278 -221 186 -221H95Q93 -218 89 -214T84 -208T82 -201T95 -181H306L404 -25H249L93 -23L86 -19Q82 -14 82 -7Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varsubseteqq</code> 或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.871ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.643ex" role="img" focusable="false" viewBox="0 -783 778 1168"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2ACB" d="M693 221Q693 214 680 201H524Q398 201 367 202T309 212Q236 230 180 280T98 398Q84 438 84 492T98 585Q126 663 193 716T346 781Q347 781 373 781T440 782T520 783H680Q682 780 686 776T691 770T693 763T680 743H526Q364 743 353 741Q279 730 221 687T138 578Q124 540 124 492T138 405Q163 340 221 297T353 243Q364 241 526 241H680Q682 238 686 234T691 228T693 221ZM82 -48T82 -41T95 -19H462L513 41L569 105Q574 110 582 110T596 104T602 90Q602 87 600 83Q600 77 555 30L515 -17L600 -19H682Q693 -30 693 -38T680 -59H480L415 -137L349 -213L515 -215H682Q693 -226 693 -233T680 -255H313L260 -317Q224 -360 212 -372T192 -385Q184 -385 179 -377T173 -362Q174 -361 218 -306L260 -255H178L93 -253L86 -248Q82 -243 82 -235Q82 -226 93 -215H195L295 -213L362 -137L426 -59H260L93 -57L86 -53Q82 -48 82 -41Z"></path></g></g></g></svg></mjx-container></span> <code>\subsetneqq</code></p>
+<p>真子集/直线在平面上：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.312ex" role="img" focusable="false" viewBox="0 -540 778 580"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2282" d="M84 250Q84 372 166 450T360 539Q361 539 370 539T395 539T430 540T475 540T524 540H679Q694 532 694 520Q694 511 681 501L522 500H470H441Q366 500 338 496T266 472Q244 461 224 446T179 404T139 337T124 250V245Q124 157 185 89Q244 25 328 7Q348 2 366 2T522 0H681Q694 -10 694 -20Q694 -32 679 -40H526Q510 -40 480 -40T434 -41Q350 -41 289 -25T172 45Q84 127 84 250Z"></path></g></g></g></svg></mjx-container></span>
+<code>\subset</code></p>
+<p>正整数集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.119ex" height="1.565ex" role="img" focusable="false" viewBox="0 -691.8 1378.8 691.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(975.3,363) scale(0.707)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g></g></g></g></svg></mjx-container></span> <code>N^*</code>
+或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="3.249ex" height="2.016ex" role="img" focusable="false" viewBox="0 -683 1436.1 891"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(836,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span> <code>N_+</code></p>
+<p>并集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="222A" d="M591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598Z"></path></g></g></g></svg></mjx-container></span> <code>\cup</code></p>
+<p>交集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2229" d="M88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21Z"></path></g></g></g></svg></mjx-container></span> <code>\cap</code></p>
+<p>补集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.714ex;" xmlns="http://www.w3.org/2000/svg" width="2.546ex" height="2.681ex" role="img" focusable="false" viewBox="0 -869.3 1125.4 1184.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2201" d="M404 269Q412 269 418 267T428 261T435 253T441 245L444 240V172Q444 103 443 96Q440 81 431 65T403 27T344 -7T250 -21T156 -8T97 27T69 65T58 96Q56 103 56 413Q56 722 58 729Q74 822 215 845Q221 846 229 846H243Q282 846 290 845Q422 826 443 729Q444 722 444 653V586L442 583Q441 580 440 578T436 573T430 567T423 562T415 558T404 556Q377 556 367 583Q364 590 364 654V719Q363 721 360 726T355 733Q326 766 250 766H249Q235 766 219 765T174 752T137 719V107Q145 83 178 71T251 58H254Q340 58 364 107V172Q364 176 364 187T363 204Q363 269 404 269Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="msubsup"><g data-mml-node="mi"></g><g data-mml-node="mi" transform="translate(33,363) scale(0.707)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(33,-300) scale(0.707)"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\complement{_U^A}</code></p>
+<h4 id="div.4-逻辑符号">Div.4 逻辑符号</h4>
+<p>因为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.251ex" role="img" focusable="false" viewBox="0 -471 667 553"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2235" d="M23 411Q23 437 41 454T84 471Q108 471 125 454T143 411T126 368T83 351Q57 351 40 368T23 411ZM523 411Q523 437 541 454T584 471Q608 471 625 454T643 411T626 368T583 351Q557 351 540 368T523 411ZM274 -22Q274 4 291 21T334 38Q356 38 374 22T392 -22T375 -65T333 -82Q307 -82 291 -65T274 -22Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>所以：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.251ex" role="img" focusable="false" viewBox="0 -471 667 553"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2234" d="M273 411Q273 437 291 454T334 471Q358 471 375 454T393 411T376 368T333 351Q307 351 290 368T273 411ZM84 38Q110 38 126 21T143 -22Q143 -46 127 -64T83 -82Q57 -82 41 -65T24 -22Q24 4 41 21T84 38ZM524 -22Q524 4 541 21T584 38Q608 38 625 21T643 -22Q643 -45 627 -63T583 -82Q557 -82 541 -65T524 -22Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>存在：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.258ex" height="1.57ex" role="img" focusable="false" viewBox="0 -694 556 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2203" d="M56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674Z"></path></g></g></g></svg></mjx-container></span>
+<code>\exists</code></p>
+<p>不存在：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="1.258ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 556 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><g data-c="2204"><path data-c="2203" d="M56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674Z"></path><path data-c="338" d="M-612 -215T-619 -215T-631 -212T-637 -204T-639 -197Q-639 -190 -634 -183Q-621 -157 -400 274T-176 707Q-173 716 -160 716Q-153 716 -148 712T-142 703T-140 696Q-140 691 -372 241T-608 -212Q-612 -215 -619 -215Z" transform="translate(556,0)"></path></g></g></g></g></svg></mjx-container></span>
+<code>\nexists</code></p>
+<p>任意/对于所有：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.258ex" height="1.62ex" role="img" focusable="false" viewBox="0 -694 556 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2200" d="M0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410Z"></path></g></g></g></svg></mjx-container></span>
+<code>\forall</code></p>
+<p>空集：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.328ex" role="img" focusable="false" viewBox="0 -587 778 587"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2205" d="M624 470Q624 468 639 446T668 382T683 291Q683 181 612 99T437 -1Q425 -2 387 -2T337 -1Q245 18 193 70L179 81L131 39Q96 8 89 3T75 -3Q55 -3 55 17Q55 24 61 30T111 73Q154 113 151 113Q151 114 140 130T115 177T95 241Q94 253 94 291T95 341Q112 431 173 495Q265 587 385 587Q410 587 437 581Q522 571 582 513L595 501L642 541Q689 586 695 586Q696 586 697 586T699 587Q706 587 713 583T720 568Q720 560 711 551T664 510Q651 499 642 490T628 475T624 470ZM564 477Q517 522 448 539Q428 546 375 546Q290 546 229 492T144 370Q133 332 133 279Q136 228 151 195Q157 179 168 160T184 141Q186 141 375 307T564 477ZM642 290Q642 318 637 343T625 386T611 416T598 436T593 444Q590 444 402 277T213 108Q213 104 231 89T293 55T392 37Q495 37 568 111T642 290Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varnothing</code></p>
+<p>逻辑或：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="222A" d="M591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598Z"></path></g></g></g></svg></mjx-container></span> <code>\cup</code>
+或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2228" d="M55 580Q56 587 61 592T75 598Q86 598 96 580L333 48L570 580Q579 596 586 597Q588 598 591 598Q609 598 611 580Q611 574 546 426T415 132T348 -15Q343 -22 333 -22T318 -15Q317 -14 252 131T121 425T55 580Z"></path></g></g></g></svg></mjx-container></span> <code>\lor</code></p>
+<p>逻辑与：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2229" d="M88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21Z"></path></g></g></g></svg></mjx-container></span> <code>\cap</code>
+或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.403ex" role="img" focusable="false" viewBox="0 -598 667 620"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2227" d="M318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591Z"></path></g></g></g></svg></mjx-container></span> <code>\land</code></p>
+<p>逻辑非：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.201ex;" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="0.604ex" role="img" focusable="false" viewBox="0 -356 667 267"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="AC" d="M56 323T56 336T70 356H596Q603 353 611 343V102Q598 89 591 89Q587 89 584 90T579 94T575 98T572 102L571 209V316H70Q56 323 56 336Z"></path></g></g></g></svg></mjx-container></span>
+<code>\lnot</code></p>
+<p>充分条件/右双箭头：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.054ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.242ex" role="img" focusable="false" viewBox="0 -525 1000 549"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="21D2" d="M580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514Z"></path></g></g></g></svg></mjx-container></span>
+<code>\Rightarrow</code> 大小写敏感</p>
+<p>必要条件/左双箭头：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.054ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.242ex" role="img" focusable="false" viewBox="0 -525 1000 549"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="21D0" d="M944 153Q944 140 929 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H929Q944 359 944 347Q944 336 930 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173H930Q931 172 933 171T936 169T938 167T941 164T942 162T943 158T944 153Z"></path></g></g></g></svg></mjx-container></span>
+<code>\Leftarrow</code> 大小写敏感</p>
+<p>充要条件/双向双箭头：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.057ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.247ex" role="img" focusable="false" viewBox="0 -526 1000 551"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="21D4" d="M308 524Q318 526 323 526Q340 526 340 514Q340 507 336 499Q326 476 314 454T292 417T274 391T260 374L255 368Q255 367 500 367Q744 367 744 368L739 374Q734 379 726 390T707 416T685 453T663 499Q658 511 658 515Q658 525 680 525Q687 524 690 523T695 519T701 507Q766 359 902 287Q921 276 939 269T961 259T966 250Q966 246 965 244T960 240T949 236T930 228T902 213Q763 137 701 -7Q697 -16 695 -19T690 -23T680 -25Q658 -25 658 -15Q658 -11 663 1Q673 24 685 46T707 83T725 109T739 126L744 132Q744 133 500 133Q255 133 255 132L260 126Q265 121 273 110T292 84T314 47T336 1Q341 -11 341 -15Q341 -25 319 -25Q312 -24 309 -23T304 -19T298 -7Q233 141 97 213Q83 221 70 227T51 235T41 239T35 243T34 250T35 256T40 261T51 265T70 273T97 287Q235 363 299 509Q305 522 308 524ZM792 319L783 327H216Q183 294 120 256L110 250L120 244Q173 212 207 181L216 173H783L792 181Q826 212 879 244L889 250L879 256Q826 288 792 319Z"></path></g></g></g></svg></mjx-container></span>
+<code>\Leftrightarrow</code> 大小写敏感</p>
+<h4 id="div.5-高级数学">Div.5 高级数学</h4>
+<p>成正比：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 778 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="221D" d="M56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213Z"></path></g></g></g></svg></mjx-container></span>
+<code>\propto</code></p>
+<p>定积分：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.787ex;" xmlns="http://www.w3.org/2000/svg" width="2.383ex" height="3.102ex" role="img" focusable="false" viewBox="0 -1023.3 1053.2 1371.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mo" transform="translate(0 0.5)"><path data-c="222B" d="M113 -244Q113 -246 119 -251T139 -263T167 -269Q186 -269 199 -260Q220 -247 232 -218T251 -133T262 -15T276 155T297 367Q300 390 305 438T314 512T325 580T340 647T361 703T390 751T428 784T479 804Q481 804 488 804T501 805Q552 802 581 769T610 695Q610 669 594 657T561 645Q542 645 527 658T512 694Q512 705 516 714T526 729T538 737T548 742L552 743Q552 745 545 751T525 762T498 768Q475 768 460 756T434 716T418 652T407 559T398 444T387 300T369 133Q349 -38 337 -102T303 -207Q256 -306 169 -306Q119 -306 87 -272T55 -196Q55 -170 71 -158T104 -146Q123 -146 138 -159T153 -195Q153 -206 149 -215T139 -230T127 -238T117 -242L113 -244Z"></path></g><g data-mml-node="TeXAtom" transform="translate(699.9,532.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(505,-340.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\int_{a}^{b}</code></p>
+<p>多重积分：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.787ex;" xmlns="http://www.w3.org/2000/svg" width="3.168ex" height="3.102ex" role="img" focusable="false" viewBox="0 -1023.3 1400.2 1371.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mo" transform="translate(0 0.5)"><path data-c="222C" d="M113 -244Q113 -246 119 -251T139 -263T167 -269Q186 -269 199 -260Q220 -247 232 -218T251 -133T262 -15T276 155T297 367Q300 390 305 438T314 512T325 580T340 647T361 703T390 751T428 784T479 804Q481 804 488 804T501 805Q552 802 581 769T610 695Q610 669 594 657T561 645Q542 645 527 658T512 694Q512 705 516 714T526 729T538 737T548 742L552 743Q552 745 545 751T525 762T498 768Q475 768 460 756T434 716T418 652T407 559T398 444T387 300T369 133Q349 -38 337 -102T303 -207Q256 -306 169 -306Q119 -306 87 -272T55 -196Q55 -170 71 -158T104 -146Q123 -146 138 -159T153 -195Q153 -206 149 -215T139 -230T127 -238T117 -242L113 -244ZM460 -244Q460 -246 466 -251T486 -263T514 -269Q532 -269 546 -260Q567 -247 579 -218T598 -133T609 -15T623 155T644 367Q647 390 652 438T661 512T672 580T687 647T708 703T737 751T775 784T826 804Q828 804 835 804T848 805Q899 802 928 769T957 695Q957 669 941 657T908 645Q889 645 874 658T859 694Q859 705 863 714T873 729T885 737T895 742L899 743Q899 745 892 751T872 762T845 768Q822 768 807 756T781 716T765 652T754 559T745 444T734 300T716 133Q696 -38 684 -102T650 -207Q603 -306 516 -306Q466 -306 434 -272T402 -196Q402 -170 418 -158T451 -146Q470 -146 485 -159T500 -195Q500 -206 496 -215T486 -230T474 -238T464 -242L460 -244Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1046.9,532.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(852,-340.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\iint_{a}^{b}</code> 及 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.787ex;" xmlns="http://www.w3.org/2000/svg" width="3.953ex" height="3.102ex" role="img" focusable="false" viewBox="0 -1023.3 1747.2 1371.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mo" transform="translate(0 0.5)"><path data-c="222D" d="M113 -244Q113 -246 119 -251T139 -263T167 -269Q186 -269 199 -260Q220 -247 232 -218T251 -133T262 -15T276 155T297 367Q300 390 305 438T314 512T325 580T340 647T361 703T390 751T428 784T479 804Q481 804 488 804T501 805Q552 802 581 769T610 695Q610 669 594 657T561 645Q542 645 527 658T512 694Q512 705 516 714T526 729T538 737T548 742L552 743Q552 745 545 751T525 762T498 768Q475 768 460 756T434 716T418 652T407 559T398 444T387 300T369 133Q349 -38 337 -102T303 -207Q256 -306 169 -306Q119 -306 87 -272T55 -196Q55 -170 71 -158T104 -146Q123 -146 138 -159T153 -195Q153 -206 149 -215T139 -230T127 -238T117 -242L113 -244ZM460 -244Q460 -246 466 -251T486 -263T514 -269Q532 -269 546 -260Q567 -247 579 -218T598 -133T609 -15T623 155T644 367Q647 390 652 438T661 512T672 580T687 647T708 703T737 751T775 784T826 804Q828 804 835 804T848 805Q899 802 928 769T957 695Q957 669 941 657T908 645Q889 645 874 658T859 694Q859 705 863 714T873 729T885 737T895 742L899 743Q899 745 892 751T872 762T845 768Q822 768 807 756T781 716T765 652T754 559T745 444T734 300T716 133Q696 -38 684 -102T650 -207Q603 -306 516 -306Q466 -306 434 -272T402 -196Q402 -170 418 -158T451 -146Q470 -146 485 -159T500 -195Q500 -206 496 -215T486 -230T474 -238T464 -242L460 -244ZM807 -244Q807 -246 813 -251T833 -263T861 -269Q880 -269 893 -260Q914 -247 926 -218T945 -133T956 -15T970 155T991 367Q994 390 999 438T1008 512T1019 580T1034 647T1055 703T1084 751T1122 784T1173 804Q1175 804 1182 804T1195 805Q1246 802 1275 769T1304 695Q1304 669 1288 657T1255 645Q1236 645 1221 658T1206 694Q1206 705 1210 714T1220 729T1232 737T1242 742L1246 743Q1246 745 1239 751T1219 762T1192 768Q1169 768 1154 756T1128 716T1112 652T1101 559T1092 444T1081 300T1063 133Q1043 -38 1031 -102T997 -207Q950 -306 863 -306Q813 -306 781 -272T749 -196Q749 -170 765 -158T798 -146Q817 -146 832 -159T847 -195Q847 -206 843 -215T833 -230T821 -238T811 -242L807 -244Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1393.9,532.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(1199,-340.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\iiint_{a}^{b}</code></p>
+<p>导函数/上撇号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.097ex;" xmlns="http://www.w3.org/2000/svg" width="0.622ex" height="1.17ex" role="img" focusable="false" viewBox="0 -560 275 517"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></svg></mjx-container></span>
+<code>\prime</code></p>
+<p>求和：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.777ex;" xmlns="http://www.w3.org/2000/svg" width="5.173ex" height="2.563ex" role="img" focusable="false" viewBox="0 -789.6 2286.6 1132.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1089,477.1) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(1089,-285.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\sum_{i=1}^{n}</code></p>
+<p>求积：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.777ex;" xmlns="http://www.w3.org/2000/svg" width="4.92ex" height="2.563ex" role="img" focusable="false" viewBox="0 -789.6 2174.6 1132.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo"><path data-c="220F" d="M158 656Q147 684 131 694Q110 707 69 710H55V750H888V710H874Q840 708 820 698T795 678T786 656V-155Q798 -206 874 -210H888V-250H570V-210H584Q618 -208 638 -197T663 -178T673 -155V710H270V277L271 -155Q283 -206 359 -210H373V-250H55V-210H69Q103 -208 123 -197T148 -178T158 -155V656Z"></path></g><g data-mml-node="TeXAtom" transform="translate(977,477.1) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(977,-285.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\prod_{i=1}^{n}</code></p>
+<p>字母数位/平均数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="7.007ex" height="2.387ex" role="img" focusable="false" viewBox="0 -1033 3097 1055"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(1509,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mi" transform="translate(2269,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(0,648)"><svg width="3097" height="237" x="0" y="148" viewBox="774.3 148 3097 237"><path data-c="2013" d="M0 248V285H499V248H0Z" transform="scale(9.291,1)"></path></svg></g></g></g></g></svg></mjx-container></span>
+<code>\overline{ABCD}</code></p>
+<p>整除符号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 278 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>
+<code>\mid</code></p>
+<p>新定义运算符：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g></g></g></svg></mjx-container></span>
+<code>\oplus</code> 及 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2297" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q531 510 496 523Q446 542 381 542Q324 542 272 519T196 471L389 278L485 375L582 471ZM167 442Q95 362 95 250Q95 137 167 58L359 250L167 442ZM610 58Q682 138 682 250Q682 363 610 442L418 250L610 58ZM196 29Q209 16 230 2T295 -27T388 -42Q409 -42 429 -40T465 -33T496 -23T522 -11T544 1T561 13T574 22T582 29L388 222L196 29Z"></path></g></g></g></svg></mjx-container></span>
+<code>\otimes</code> 及 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2296" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM681 278Q669 385 591 463T381 542Q283 542 196 471T96 278V270H681V278ZM275 -42T388 -42T585 32T681 222V230H96V222Q108 107 191 33Z"></path></g></g></g></svg></mjx-container></span>
+<code>\ominus</code></p>
+<p>扰动值：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.011ex" height="2.242ex" role="img" focusable="false" viewBox="0 -991 889 991"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D43E" d="M285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Z"></path></g><g data-mml-node="mo" transform="translate(510.1,573) translate(-250 0)"><path data-c="7E" d="M179 251Q164 251 151 245T131 234T111 215L97 227L83 238Q83 239 95 253T121 283T142 304Q165 318 187 318T253 300T320 282Q335 282 348 288T368 299T388 318L402 306L416 295Q375 236 344 222Q330 215 313 215Q292 215 248 233T179 251Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\tilde{K}</code></p>
+<p>高德纳箭头/上箭头：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.437ex;" xmlns="http://www.w3.org/2000/svg" width="5.782ex" height="2.007ex" role="img" focusable="false" viewBox="0 -694 2555.6 887"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(777.8,0)"><g data-mml-node="text"><path data-c="2191" d="M27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414Z"></path></g><g data-mml-node="text" transform="translate(500,0)"><path data-c="2191" d="M27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414Z"></path></g></g><g data-mml-node="mn" transform="translate(2055.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span> <code>3\uparrow \uparrow 2</code></p>
+<h4 id="div.6-常数">Div.6 常数</h4>
+<p>无穷大/无限：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 1000 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="221E" d="M55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214Z"></path></g></g></g></svg></mjx-container></span>
+<code>\infty</code></p>
+<p>圆周率：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.29ex" height="1ex" role="img" focusable="false" viewBox="0 -431 570 442"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D70B" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></g></g></g></svg></mjx-container></span> <code>\pi</code></p>
+<p>普朗克常数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.029ex;" xmlns="http://www.w3.org/2000/svg" width="1.271ex" height="1.602ex" role="img" focusable="false" viewBox="0 -695 562 708"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="210F" d="M182 599Q182 611 174 615T133 619Q118 619 114 621T109 630Q109 636 114 656T122 681Q125 685 202 688Q272 695 286 695Q304 695 304 684Q304 682 295 644T282 597Q282 592 360 592H399Q430 592 445 587T460 563Q460 552 451 541L442 535H266L251 468Q247 453 243 436T236 409T233 399Q233 395 244 404Q295 441 357 441Q405 441 445 417T485 333Q485 284 449 178T412 58T426 44Q447 44 466 68Q485 87 500 130L509 152H531H543Q562 152 562 144Q562 128 546 93T494 23T415 -13Q385 -13 359 3T322 44Q318 52 318 77Q318 99 352 196T386 337Q386 386 346 386Q318 386 286 370Q267 361 245 338T211 292Q207 287 193 235T162 113T138 21Q128 7 122 4Q105 -12 83 -12Q66 -12 54 -2T42 26L166 530Q166 534 161 534T129 535Q127 535 122 535T112 534Q74 534 74 562Q74 570 77 576T84 585T96 589T109 591T124 592T138 592L182 595V599Z"></path></g></g></g></svg></mjx-container></span>
+<code>\hbar</code> 或 <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.029ex;" xmlns="http://www.w3.org/2000/svg" width="1.271ex" height="1.602ex" role="img" focusable="false" viewBox="0 -695 562 708"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="210F" d="M150 475Q147 475 118 466T82 457Q73 457 64 467T54 487Q54 490 55 492Q63 506 64 506Q67 512 118 526Q162 541 169 546Q173 559 175 575Q181 596 181 604Q181 613 166 617Q164 617 153 618T135 619Q119 619 114 621T109 630Q109 636 114 656T122 681Q125 685 202 688Q272 695 286 695Q304 695 304 684Q304 682 291 628L278 577L386 612Q466 635 476 635T492 627T499 607Q499 593 489 586Q485 583 373 546L262 512Q262 511 248 455T233 397T236 397T244 404Q295 441 357 441Q405 441 445 417T485 333Q485 284 449 178T412 58T426 44Q447 44 466 68Q485 87 500 130L509 152H531H543Q562 152 562 144Q562 128 546 93T494 23T415 -13Q385 -13 359 3T322 44Q318 52 318 77Q318 99 352 196T386 337Q386 386 346 386Q318 386 286 370Q267 361 245 338T211 292Q207 287 193 235T162 113T138 21Q128 7 122 4Q105 -12 83 -12Q66 -12 54 -2T42 26Q42 45 98 257L151 475H150Z"></path></g></g></g></svg></mjx-container></span>
+<code>\hslash</code></p>
+<h4 id="div.7-注音">Div.7 注音</h4>
+<p>一声：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.054ex" height="1.593ex" role="img" focusable="false" viewBox="0 -693 466 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,3) translate(-250 0)"><path data-c="AF" d="M69 544V590H430V544H69Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\bar{e}</code></p>
+<p>二声/法语闭音符：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.054ex" height="1.928ex" role="img" focusable="false" viewBox="0 -841 466 852"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,42) translate(-250 0)"><path data-c="B4" d="M349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\acute{e}</code></p>
+<p>三声：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.054ex" height="1.785ex" role="img" focusable="false" viewBox="0 -778 466 789"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,34) translate(-250 0)"><path data-c="2C7" d="M114 611L127 630L136 644Q138 644 193 612Q248 581 250 581L306 612Q361 644 363 644L385 611L318 562L249 513L114 611Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\check{e}</code></p>
+<p>四声/法语重音符：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.054ex" height="2.658ex" role="img" focusable="false" viewBox="0 -1164 466 1175"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,504) translate(-137.5 0)"><path data-c="2035" d="M12 501Q12 527 31 542T63 558Q73 560 77 560Q114 560 128 528Q133 518 188 293T244 61Q244 56 223 50T195 43Q192 43 190 45T102 263T14 486Q12 496 12 501Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\grave{e}</code></p>
+<p>字母双点/德语特殊字母/特殊拼音：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.749ex" role="img" focusable="false" viewBox="0 -762 572 773"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(313.8,-7) translate(-250 0)"><path data-c="A8" d="M95 612Q95 633 112 651T153 669T193 652T210 612Q210 588 194 571T152 554L127 560Q95 577 95 612ZM289 611Q289 634 304 649T335 668Q336 668 340 668T346 669Q369 669 386 652T404 612T387 572T346 554Q323 554 306 570T289 611Z"></path></g></g></g></g></g></svg></mjx-container></span> <code>\ddot{u}</code></p>
+<p>特殊发音符：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.719ex" role="img" focusable="false" viewBox="0 -750 529 760"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,332) translate(-250 0)"><path data-c="7E" d="M179 251Q164 251 151 245T131 234T111 215L97 227L83 238Q83 239 95 253T121 283T142 304Q165 318 187 318T253 300T320 282Q335 282 348 288T368 299T388 318L402 306L416 295Q375 236 344 222Q330 215 313 215Q292 215 248 233T179 251Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\tilde{a}</code></p>
+<p>抑扬符：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.855ex" role="img" focusable="false" viewBox="0 -810 529 820"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,16) translate(-250 0)"><path data-c="5E" d="M112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560Z"></path></g></g></g></g></g></svg></mjx-container></span>
+<code>\hat{a}</code></p>
+<h4 id="div.8-希腊希伯来字母">Div.8 希腊/希伯来字母</h4>
+<p>小写希腊字母</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.448ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 640 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g></g></g></svg></mjx-container></span> <code>\alpha</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.796ex" height="2.034ex" role="img" focusable="false" viewBox="0 -705 1678 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D6FD" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path></g></g></g></svg></mjx-container></span> <code>\beta</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="3.932ex" height="1.462ex" role="img" focusable="false" viewBox="0 -442 1738 646"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D712" d="M576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125Z"></path></g></g></g></svg></mjx-container></span> <code>\chi</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="3.52ex" height="1.645ex" role="img" focusable="false" viewBox="0 -717 1556 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D6FF" d="M195 609Q195 656 227 686T302 717Q319 716 351 709T407 697T433 690Q451 682 451 662Q451 644 438 628T403 612Q382 612 348 641T288 671T249 657T235 628Q235 584 334 463Q401 379 401 292Q401 169 340 80T205 -10H198Q127 -10 83 36T36 153Q36 286 151 382Q191 413 252 434Q252 435 245 449T230 481T214 521T201 566T195 609ZM112 130Q112 83 136 55T204 27Q233 27 256 51T291 111T309 178T316 232Q316 267 309 298T295 344T269 400L259 396Q215 381 183 342T137 256T118 179T112 130Z"></path></g></g></g></svg></mjx-container></span> <code>\delta</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.434ex" height="1ex" role="img" focusable="false" viewBox="0 -431 1518 442"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D716" d="M227 -11Q149 -11 95 41T40 174Q40 262 87 322Q121 367 173 396T287 430Q289 431 329 431H367Q382 426 382 411Q382 385 341 385H325H312Q191 385 154 277L150 265H327Q340 256 340 246Q340 228 320 219H138V217Q128 187 128 143Q128 77 160 52T231 26Q258 26 284 36T326 57T343 68Q350 68 354 58T358 39Q358 36 357 35Q354 31 337 21T289 0T227 -11Z"></path></g></g></g></svg></mjx-container></span>
+<code>\epsilon</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.489ex;" xmlns="http://www.w3.org/2000/svg" width="3.64ex" height="1.489ex" role="img" focusable="false" viewBox="0 -442 1609 658"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D702" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>
+<code>\eta</code></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.489ex;" xmlns="http://www.w3.org/2000/svg" width="1.229ex" height="1.486ex" role="img" focusable="false" viewBox="0 -441 543 657"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FE" d="M31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249Z"></path></g></g></g></svg></mjx-container></span> <code>\gamma</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="3.317ex" height="1.023ex" role="img" focusable="false" viewBox="0 -442 1466 452"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D704" d="M139 -10Q111 -10 92 0T64 25T52 52T48 74Q48 89 55 109T85 199T135 375L137 384Q139 394 140 397T145 409T151 422T160 431T173 439T190 442Q202 442 213 435T225 410Q225 404 214 358T181 238T137 107Q126 74 126 54Q126 43 126 39T130 31T142 27H147Q206 27 255 78Q272 98 281 114T290 138T295 149T313 153Q321 153 324 153T329 152T332 149T332 143Q332 106 276 48T145 -10H139Z"></path></g></g></g></svg></mjx-container></span> <code>\iota</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.819ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 1688 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D705" d="M83 -11Q70 -11 62 -4T51 8T49 17Q49 30 96 217T147 414Q160 442 193 442Q205 441 213 435T223 422T225 412Q225 401 208 337L192 270Q193 269 208 277T235 292Q252 304 306 349T396 412T467 431Q489 431 500 420T512 391Q512 366 494 347T449 327Q430 327 418 338T405 368Q405 370 407 380L397 375Q368 360 315 315L253 266L240 257H245Q262 257 300 251T366 230Q422 203 422 150Q422 140 417 114T411 67Q411 26 437 26Q484 26 513 137Q516 149 519 151T535 153Q554 153 554 144Q554 121 527 64T457 -7Q447 -10 431 -10Q386 -10 360 17T333 90Q333 108 336 122T339 146Q339 170 320 186T271 209T222 218T185 221H180L155 122Q129 22 126 16Q113 -11 83 -11Z"></path></g></g></g></svg></mjx-container></span> <code>\kappa</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.027ex;" xmlns="http://www.w3.org/2000/svg" width="3.835ex" height="1.597ex" role="img" focusable="false" viewBox="0 -694 1695 706"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D706" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path></g></g></g></svg></mjx-container></span> <code>\lambda</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.489ex;" xmlns="http://www.w3.org/2000/svg" width="3.88ex" height="1.489ex" role="img" focusable="false" viewBox="0 -442 1715 658"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D707" d="M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216Z"></path></g></g></g></svg></mjx-container></span> <code>\mu</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.715ex" height="1ex" role="img" focusable="false" viewBox="0 -442 1642 442"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D708" d="M74 431Q75 431 146 436T219 442Q231 442 231 434Q231 428 185 241L137 51H140L150 55Q161 59 177 67T214 86T261 119T312 165Q410 264 445 394Q458 442 496 442Q509 442 519 434T530 411Q530 390 516 352T469 262T388 162T267 70T106 5Q81 -2 71 -2Q66 -2 59 -1T51 1Q45 5 45 11Q45 13 88 188L132 364Q133 377 125 380T86 385H65Q59 391 59 393T61 412Q65 431 74 431Z"></path></g></g></g></svg></mjx-container></span> <code>\nu</code></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.097ex" height="1.023ex" role="img" focusable="false" viewBox="0 -441 485 452"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g></g></svg></mjx-container></span> <code>o</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.923ex" height="1.027ex" role="img" focusable="false" viewBox="0 -443 1734 454"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g></g></g></svg></mjx-container></span> <code>\omega</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="3.864ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 1708 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D719" d="M409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282Z"></path></g></g></g></svg></mjx-container></span> <code>\phi</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.805ex" height="1ex" role="img" focusable="false" viewBox="0 -431 1682 442"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D70B" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></g></g></g></svg></mjx-container></span> <code>\pi</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="3.989ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 1763 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D713" d="M161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Z"></path></g></g></g></svg></mjx-container></span> <code>\psi</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.489ex;" xmlns="http://www.w3.org/2000/svg" width="3.686ex" height="1.489ex" role="img" focusable="false" viewBox="0 -442 1629 658"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D70C" d="M58 -216Q25 -216 23 -186Q23 -176 73 26T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 219 486 165T425 74T345 13T266 -10H255H248Q197 -10 165 35L160 41L133 -71Q108 -168 104 -181T92 -202Q76 -216 58 -216ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q217 269 193 170L176 102Q193 26 260 26Q298 26 334 62Q367 92 389 158T418 266T424 322Z"></path></g></g></g></svg></mjx-container></span> <code>\rho</code></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.292ex" height="1ex" role="img" focusable="false" viewBox="0 -431 571 442"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D70E" d="M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z"></path></g></g></g></svg></mjx-container></span> <code>\sigma</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.029ex;" xmlns="http://www.w3.org/2000/svg" width="3.686ex" height="1.005ex" role="img" focusable="false" viewBox="0 -431 1629 444"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D70F" d="M39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284Z"></path></g></g></g></svg></mjx-container></span> <code>\tau</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="3.577ex" height="1.618ex" role="img" focusable="false" viewBox="0 -705 1581 715"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></g></g></g></svg></mjx-container></span> <code>\theta</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="3.738ex" height="1.025ex" role="img" focusable="false" viewBox="0 -443 1652 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D710" d="M413 384Q413 406 432 424T473 443Q492 443 507 425T523 367Q523 334 508 270T468 153Q424 63 373 27T282 -10H268Q220 -10 186 2T135 36T111 78T104 121Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Q200 441 225 419T250 355Q248 336 247 334Q247 331 232 291T201 199T185 118Q185 68 211 47T275 26Q317 26 355 57T416 132T452 216T465 277Q465 301 457 318T439 343T421 361T413 384Z"></path></g></g></g></svg></mjx-container></span>
+<code>\upsilon</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="3.507ex" height="2.057ex" role="img" focusable="false" viewBox="0 -704 1550 909"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D709" d="M268 632Q268 704 296 704Q314 704 314 687Q314 682 311 664T308 635T309 620V616H315Q342 619 360 619Q443 619 443 586Q439 548 358 546H344Q326 546 317 549T290 566Q257 550 226 505T195 405Q195 381 201 364T211 342T218 337Q266 347 298 347Q375 347 375 314Q374 297 359 288T327 277T280 275Q234 275 208 283L195 286Q149 260 119 214T88 130Q88 116 90 108Q101 79 129 63T229 20Q238 17 243 15Q337 -21 354 -33Q383 -53 383 -94Q383 -137 351 -171T273 -205Q240 -205 202 -190T158 -167Q156 -163 156 -159Q156 -151 161 -146T176 -140Q182 -140 189 -143Q232 -168 274 -168Q286 -168 292 -165Q313 -151 313 -129Q313 -112 301 -104T232 -75Q214 -68 204 -64Q198 -62 171 -52T136 -38T107 -24T78 -8T56 12T36 37T26 66T21 103Q21 149 55 206T145 301L154 307L148 313Q141 319 136 323T124 338T111 358T103 382T99 413Q99 471 143 524T259 602L271 607Q268 618 268 632Z"></path></g></g></g></svg></mjx-container></span>
+<code>\xi</code><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="3.581ex" height="2.054ex" role="img" focusable="false" viewBox="0 -704 1583 908"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D701" d="M296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643Z"></path></g></g></g></svg></mjx-container></span>
+<code>\zeta</code></p>
+<p>变量希腊字母</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.192ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.561ex" role="img" focusable="false" viewBox="0 -605 778 690"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="3DD" d="M477 261Q477 257 473 256T455 253T417 251T348 250H235L155 -77L146 -82Q137 -85 109 -85Q55 -85 55 -77L139 261Q224 596 226 598Q229 603 239 603Q240 603 254 603T290 603T341 604T405 605T477 605Q656 603 687 602T719 596Q719 589 692 588T513 585H319L282 427L242 272Q242 270 351 270Q388 270 410 270T444 269T460 267T469 265T477 261Z"></path></g></g></g></svg></mjx-container></span> <code>\digamma</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="3.57ex" height="1.072ex" role="img" focusable="false" viewBox="0 -452 1578 474"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D700" d="M190 -22Q124 -22 76 11T27 107Q27 174 97 232L107 239L99 248Q76 273 76 304Q76 364 144 408T290 452H302Q360 452 405 421Q428 405 428 392Q428 381 417 369T391 356Q382 356 371 365T338 383T283 392Q217 392 167 368T116 308Q116 289 133 272Q142 263 145 262T157 264Q188 278 238 278H243Q308 278 308 247Q308 206 223 206Q177 206 142 219L132 212Q68 169 68 112Q68 39 201 39Q253 39 286 49T328 72T345 94T362 105Q376 103 376 88Q376 79 365 62T334 26T275 -8T190 -22Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varepsilon</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.014ex;" xmlns="http://www.w3.org/2000/svg" width="4.176ex" height="0.995ex" role="img" focusable="false" viewBox="0 -434 1846 440"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D718" d="M228 325Q170 322 156 316T127 309Q108 309 104 314Q99 319 99 322T108 341Q125 376 171 400T268 425H271Q302 425 319 396Q328 377 328 358Q328 332 324 314Q311 270 286 221Q274 194 274 192H275Q339 234 484 325T639 421Q669 434 691 434T723 425T734 406Q734 394 719 381Q715 376 644 330L575 287L566 267Q543 233 526 176Q520 160 515 143T508 115T506 105Q506 103 533 103Q585 103 607 110T641 118Q670 118 670 107Q670 100 661 85Q643 50 598 27T504 3Q465 3 450 36Q441 51 441 73Q441 84 444 96Q452 146 484 205L497 236L324 125Q143 12 135 10Q103 -6 77 -6Q61 -6 49 2T37 21Q37 36 49 46T124 96L195 141L204 156Q219 179 243 248T264 323Q264 325 228 325Z"></path></g></g></g></svg></mjx-container></span> <code>\varkappa</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.493ex;" xmlns="http://www.w3.org/2000/svg" width="3.995ex" height="1.493ex" role="img" focusable="false" viewBox="0 -442 1766 660"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varphi</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="0.998ex" role="img" focusable="false" viewBox="0 -431 1940 441"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D71B" d="M206 -10Q158 -10 136 24T114 110Q114 233 199 349L205 358H184Q144 358 121 347Q108 340 95 330T75 312T61 295T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 532 431Q799 431 803 430Q823 423 823 402Q823 377 801 364Q790 358 766 358Q748 358 748 357Q748 355 749 348T752 327T754 297Q754 258 738 207T693 107T618 24T520 -10Q488 -10 466 2T432 36T416 77T411 120Q411 128 410 128T404 122Q373 71 323 31T206 -10ZM714 296Q714 316 707 358H251Q250 357 244 348T230 328T212 301T193 267T176 229T164 187T159 144Q159 62 222 62Q290 62 349 127T432 285Q433 286 434 288T435 291T437 293T440 294T444 294T452 294H466Q472 288 472 286Q472 285 464 244T456 170Q456 62 534 62Q604 62 659 139T714 296Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varpi</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.686ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 1629 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D71A" d="M205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322Z"></path></g></g></g></svg></mjx-container></span>
+<code>\varrho</code></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.242ex;" xmlns="http://www.w3.org/2000/svg" width="0.916ex" height="1.242ex" role="img" focusable="false" viewBox="0 -442 405 549"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D70D" d="M31 207Q31 306 115 374T302 442Q341 442 373 430T405 400Q405 392 399 383T379 374Q373 375 348 390T296 405Q222 405 160 357T98 249Q98 232 103 218T112 195T132 175T154 159T186 141T219 122Q234 114 255 102T286 85T299 78L302 74Q306 71 308 69T315 61T322 51T328 40T332 25T334 8Q334 -31 305 -69T224 -107Q194 -107 163 -92Q156 -88 156 -80Q156 -73 162 -67T178 -61Q186 -61 190 -63Q209 -71 224 -71Q244 -71 253 -59T263 -30Q263 -25 263 -21T260 -12T255 -4T248 3T239 9T227 17T213 25T195 34T174 46Q170 48 150 58T122 74T97 90T70 112T51 137T36 169T31 207Z"></path></g></g></g></svg></mjx-container></span> <code>\varsigma</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.853ex" height="1.62ex" role="img" focusable="false" viewBox="0 -705 1703 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="1D717" d="M537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564Z"></path></g></g></g></svg></mjx-container></span>
+<code>\vartheta</code></p>
+<p>大写希腊字母（仅展示大小写字母样式有差别者）</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="394" d="M51 0Q46 4 46 7Q46 9 215 357T388 709Q391 716 416 716Q439 716 444 709Q447 705 616 357T786 7Q786 4 781 0H51ZM507 344L384 596L137 92L383 91H630Q630 93 507 344Z"></path></g></g></g></svg></mjx-container></span> <code>\Delta</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.93ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 1737 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="393" d="M128 619Q121 626 117 628T101 631T58 634H25V680H554V676Q556 670 568 560T582 444V440H542V444Q542 445 538 478T523 545T492 598Q454 634 349 634H334Q264 634 249 633T233 621Q232 618 232 339L233 61Q240 54 245 52T270 48T333 46H360V0H348Q324 3 182 3Q51 3 36 0H25V46H58Q100 47 109 49T128 61V619Z"></path></g></g></g></svg></mjx-container></span> <code>\Gamma</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.086ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1806 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="39B" d="M320 708Q326 716 340 716H348H355Q367 716 372 708Q374 706 423 547T523 226T575 62Q581 52 591 50T634 46H661V0H653Q644 3 532 3Q411 3 390 0H379V46H392Q464 46 464 65Q463 70 390 305T316 539L246 316Q177 95 177 84Q177 72 198 59T248 46H253V0H245Q230 3 130 3Q47 3 38 0H32V46H45Q112 51 127 91Q128 92 224 399T320 708Z"></path></g></g></g></svg></mjx-container></span> <code>\Lambda</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.149ex" height="1.593ex" role="img" focusable="false" viewBox="0 -704 1834 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="3A9" d="M55 454Q55 503 75 546T127 617T197 665T272 695T337 704H352Q396 704 404 703Q527 687 596 615T666 454Q666 392 635 330T559 200T499 83V80H543Q589 81 600 83T617 93Q622 102 629 135T636 172L637 177H677V175L660 89Q645 3 644 2V0H552H488Q461 0 456 3T451 20Q451 89 499 235T548 455Q548 512 530 555T483 622T424 656T361 668Q332 668 303 658T243 626T193 560T174 456Q174 380 222 233T270 20Q270 7 263 0H77V2Q76 3 61 89L44 175V177H84L85 172Q85 171 88 155T96 119T104 93Q109 86 120 84T178 80H222V83Q206 132 162 199T87 329T55 454Z"></path></g></g></g></svg></mjx-container></span> <code>\Omega</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.149ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1834 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="3A6" d="M312 622Q310 623 307 625T303 629T297 631T286 634T270 635T246 636T211 637H184V683H196Q220 680 361 680T526 683H538V637H511Q468 637 447 635T422 631T411 622V533L425 531Q525 519 595 466T665 342Q665 301 642 267T583 209T506 172T425 152L411 150V61Q417 55 421 53T447 48T511 46H538V0H526Q502 3 361 3T196 0H184V46H211Q231 46 245 46T270 47T286 48T297 51T303 54T307 57T312 61V150H310Q309 151 289 153T232 166T160 195Q149 201 136 210T103 238T69 284T56 342Q56 414 128 467T294 530Q309 532 310 533H312V622ZM170 342Q170 207 307 188H312V495H309Q301 495 282 491T231 469T186 423Q170 389 170 342ZM415 188Q487 199 519 236T551 342Q551 384 539 414T507 459T470 481T434 491T415 495H410V188H415Z"></path></g></g></g></svg></mjx-container></span> <code>\Phi</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.213ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 1862 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="3A0" d="M128 619Q121 626 117 628T101 631T58 634H25V680H724V634H691Q651 633 640 631T622 619V61Q628 51 639 49T691 46H724V0H713Q692 3 569 3Q434 3 425 0H414V46H447Q489 47 498 49T517 61V634H232V348L233 61Q239 51 250 49T302 46H335V0H324Q303 3 180 3Q45 3 36 0H25V46H58Q100 47 109 49T128 61V619Z"></path></g></g></g></svg></mjx-container></span> <code>\Pi</code></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 778 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="3A8" d="M340 622Q338 623 335 625T331 629T325 631T314 634T298 635T274 636T239 637H212V683H224Q248 680 389 680T554 683H566V637H539Q479 637 464 635T439 622L438 407Q438 192 439 192Q443 193 449 195T474 207T507 232T536 276T557 344Q560 365 562 417T573 493Q587 536 620 544Q627 546 671 546H715L722 540V515Q714 509 708 509Q680 505 671 476T658 392T644 307Q599 177 451 153L438 151V106L439 61Q446 54 451 52T476 48T539 46H566V0H554Q530 3 389 3T224 0H212V46H239Q259 46 273 46T298 47T314 48T325 51T331 54T335 57T340 61V151Q126 178 117 406Q115 503 69 509Q55 509 55 526Q55 541 59 543T86 546H107H120Q150 546 161 543T184 528Q198 514 204 493Q212 472 213 420T226 316T272 230Q287 216 303 207T330 194L339 192Q340 192 340 407V622Z"></path></g></g></g></svg></mjx-container></span> <code>\Psi</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.149ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1834 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="3A3" d="M666 247Q664 244 652 126T638 4V0H351Q131 0 95 0T57 5V6Q54 12 57 17L73 36Q89 54 121 90T182 159L305 299L56 644L55 658Q55 677 60 681Q63 683 351 683H638V679Q640 674 652 564T666 447V443H626V447Q618 505 604 543T559 605Q529 626 478 631T333 637H294H189L293 494Q314 465 345 422Q400 346 400 340Q400 338 399 337L154 57Q407 57 428 58Q476 60 508 68T551 83T575 103Q595 125 608 162T624 225L626 251H666V247Z"></path></g></g></g></svg></mjx-container></span> <code>\Sigma</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.276ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 1890 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="398" d="M56 340Q56 423 86 494T164 610T270 680T388 705Q521 705 621 601T722 341Q722 260 693 191T617 75T510 4T388 -22T267 3T160 74T85 189T56 340ZM610 339Q610 428 590 495T535 598T463 651T384 668Q332 668 289 638T221 566Q168 485 168 339Q168 274 176 235Q189 158 228 105T324 28Q356 16 388 16Q415 16 442 24T501 54T555 111T594 205T610 339ZM223 263V422H263V388H514V422H554V263H514V297H263V263H223Z"></path></g></g></g></svg></mjx-container></span> <code>\Theta</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.276ex" height="1.595ex" role="img" focusable="false" viewBox="0 -705 1890 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="3A5" d="M55 551Q55 604 91 654T194 705Q240 705 277 681T334 624T367 556T385 498L389 474L392 488Q394 501 400 521T414 566T438 615T473 659T521 692T584 705Q620 705 648 689T691 647T714 597T722 551Q722 540 719 538T699 536Q680 536 677 541Q677 542 677 544T676 548Q676 576 650 596T588 616H582Q538 616 505 582Q466 543 454 477T441 318Q441 301 441 269T442 222V61Q448 55 452 53T478 48T542 46H569V0H557Q533 3 389 3T221 0H209V46H236Q256 46 270 46T295 47T311 48T322 51T328 54T332 57T337 61V209Q337 383 333 415Q313 616 189 616Q154 616 128 597T101 548Q101 540 97 538T78 536Q63 536 59 538T55 551Z"></path></g></g></g></svg></mjx-container></span> <code>\Upsilon</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.025ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 1779 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="39E" d="M47 509L55 676Q55 677 333 677T611 676L619 509Q619 508 599 508T579 510Q579 529 575 557T564 589Q550 594 333 594T102 589Q95 586 91 558T87 510Q87 508 67 508T47 509ZM139 260V445H179V394H487V445H527V260H487V311H179V260H139ZM50 0L42 180H62Q82 180 82 178Q82 133 89 105Q92 93 95 90T108 86Q137 83 333 83Q530 83 558 86Q568 87 571 90T577 105Q584 133 584 178Q584 180 604 180H624L616 0H50Z"></path></g></g></g></svg></mjx-container></span> <code>\Xi</code></p>
+<p>希伯来文字母</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.382ex" height="1.57ex" role="img" focusable="false" viewBox="0 -694 611 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2135" d="M55 613Q55 643 61 663T74 688T85 694Q94 694 94 681Q98 632 134 588L412 285Q416 311 430 397T447 509V519L438 526Q407 554 398 571T388 617T394 664T407 688T418 694Q425 694 427 684Q429 675 454 635T488 586Q490 584 496 579T513 563T537 540Q555 516 555 487Q555 460 549 441T537 416T528 409Q519 409 517 415T513 435T503 463Q492 481 490 481Q454 264 454 246Q454 237 479 212T529 152T555 79Q555 32 538 9Q531 1 524 1Q516 1 516 13Q512 62 476 106Q468 115 337 258T195 412L193 406Q191 401 189 394T183 377T176 352T171 322T167 284T165 240Q165 224 166 220Q171 199 211 152T252 70Q252 45 235 29T203 8T175 1Q170 0 115 0H79Q60 0 58 3T55 20Q55 31 58 34Q60 37 76 37Q112 39 126 46T140 70Q140 96 112 148T83 236Q83 281 102 334T140 419T159 452Q55 556 55 613Z"></path></g></g></g></svg></mjx-container></span> <code>\aleph</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="4.07ex" height="1.774ex" role="img" focusable="false" viewBox="0 -763 1799 784"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="2136" d="M56 706V726Q56 763 76 763Q83 763 87 759T98 741Q108 726 116 721L127 717L340 715Q547 712 564 709Q575 705 587 692Q599 680 605 663L609 650V137H676Q687 124 687 115Q687 110 678 100T622 43L558 -21H-9Q-22 -6 -22 -1T-13 14T42 72L107 137H569V339Q569 541 567 546Q558 555 554 557L545 563H329Q118 566 101 569Q90 573 78 586Q54 610 54 661Q54 670 56 706Z"></path></g></g></g></svg></mjx-container></span> <code>\beth</code> <span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.097ex;" xmlns="http://www.w3.org/2000/svg" width="4.025ex" height="1.826ex" role="img" focusable="false" viewBox="0 -764 1779 807"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="2138" d="M62 757Q69 764 75 764Q87 764 97 741Q102 731 105 728T117 721L129 715H349Q569 715 580 710Q618 701 635 670Q640 661 640 639Q640 609 622 590Q617 583 604 575T580 566H573V553Q575 547 576 531T582 469T600 353Q624 205 624 104Q624 46 617 17T591 -32Q581 -43 573 -43Q550 -43 540 44Q535 73 533 319V564H322Q117 566 100 570Q90 573 77 586Q54 609 54 663Q54 689 55 706Q55 738 56 745T62 757Z"></path></g></g></g></svg></mjx-container></span> <code>\daleth</code>
+<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.097ex;" xmlns="http://www.w3.org/2000/svg" width="3.52ex" height="1.826ex" role="img" focusable="false" viewBox="0 -764 1556 807"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mstyle"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1112,0)"><path data-c="2137" d="M56 750Q68 764 76 764Q88 764 97 743T125 717Q131 715 240 715T358 713Q421 691 421 640Q421 608 399 588T358 566Q353 566 352 565T351 557L356 526Q356 488 379 346T402 97Q400 21 385 -12Q366 -43 351 -43Q335 -43 329 -10Q316 40 316 64Q316 67 315 67Q313 67 269 26L222 -21H-9Q-22 -7 -22 -1Q-22 4 -14 14T42 73L107 137H311V564H211H164Q115 564 93 573T60 615Q56 630 56 690V750Z"></path></g></g></g></svg></mjx-container></span>
+<code>\gimel</code></p>
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+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+    <div class="prev-next">
+      
+        <a class='prev' href='/thanks/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>一命已出，前来还愿</p>
+          <p class='content'>
+
+2023.11.11 21:10
+
+
+</p>
+        </a>
+      
+      
+        <a class='next' href='/dcd2023ep1-trailer/'>
+          <p class='title'>DC Doujin 2023 EP1 先行预告<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现...</p>
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+
+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      <ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#part1.-%E8%BF%90%E7%AE%97%E7%AC%A6"><span class="toc-number">1.</span> <span class="toc-text">Part1. 运算符</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E5%9F%BA%E6%9C%AC%E8%BF%90%E7%AE%97"><span class="toc-number">1.1.</span> <span class="toc-text">Div1. 基本运算</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.2-%E5%87%A0%E4%BD%95%E8%A1%A8%E7%A4%BA"><span class="toc-number">1.2.</span> <span class="toc-text">Div.2 几何表示</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.3-%E9%9B%86%E5%90%88"><span class="toc-number">1.3.</span> <span class="toc-text">Div.3 集合</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.4-%E9%80%BB%E8%BE%91%E7%AC%A6%E5%8F%B7"><span class="toc-number">1.4.</span> <span class="toc-text">Div.4 逻辑符号</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.5-%E9%AB%98%E7%BA%A7%E6%95%B0%E5%AD%A6"><span class="toc-number">1.5.</span> <span class="toc-text">Div.5 高级数学</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.6-%E5%B8%B8%E6%95%B0"><span class="toc-number">1.6.</span> <span class="toc-text">Div.6 常数</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.7-%E6%B3%A8%E9%9F%B3"><span class="toc-number">1.7.</span> <span class="toc-text">Div.7 注音</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div.8-%E5%B8%8C%E8%85%8A%E5%B8%8C%E4%BC%AF%E6%9D%A5%E5%AD%97%E6%AF%8D"><span class="toc-number">1.8.</span> <span class="toc-text">Div.8 希腊&#x2F;希伯来字母</span></a></li></ol></li></ol>
+  </div>
+</section>
+
+  
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
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+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
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new file mode 100644
index 0000000000..8b8ee79b73
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+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
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+
+  
+    <div class='headimg-div'>
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+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        线性代数 简明教程 二
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+        
+          
+            
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+    <p itemprop="name">JustPureH2O</p>
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+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 12, 2024</p>
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+    <div class='new-meta-box'>
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+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T00:57:44+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
+  
+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E7%AE%97%E6%B3%95/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>算法</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%AD%A6%E6%9C%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>学术</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%95%B0%E5%AD%A6/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>数学</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%95%99%E7%A8%8B/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>教程</p></a></div>
+  <span hidden itemprop="keywords">算法 学术 数学 教程</span>
+  
+
+
+        
+      
+        
+          
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+    <!-- Custom Files bottomMeta begin -->
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+        <a class='prev' href='/oier-math-senior/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>信息竞赛 高级数学</p>
+          <p class='content'>
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世...</p>
+        </a>
+      
+      
+        <a class='next' href='/magic-show-with-josephus/'>
+          <p class='title'>约瑟夫环——春晚魔术表演原理解析<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克...</p>
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+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/","name":"线性代数 简明教程 二"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"线性代数 简明教程 二","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/","wordCount":0,"datePublished":"2024-02-12T08:56:44.000Z","dateModified":"2024-02-16T00:57:44.729Z","keywords":"算法,学术,数学,教程","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/linear-algebra-explicit-tutorial/index.html b/linear-algebra-explicit-tutorial/index.html
new file mode 100644
index 0000000000..a368065443
--- /dev/null
+++ b/linear-algebra-explicit-tutorial/index.html
@@ -0,0 +1,5056 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
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+  <title>线性代数 简明教程 一 - JustPureH2O的博客</title>
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+<meta property="og:title" content="线性代数 简明教程 一">
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+<meta property="og:description" content="线性代数 简明教程 前言               前言正文           	         我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的状态。">
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+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
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+      <h1 class="title" itemprop="name headline">
+        线性代数 简明教程 一
+      </h1>
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+    <p itemprop="name">JustPureH2O</p>
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Jan 21, 2024</p>
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+  <div id="post-body" itemprop="articleBody">
+    <p><img src="https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<div class="story post-story"><h2 id="线性代数-简明教程">线性代数 简明教程</h2>
+<h3 id="前言">前言</h3>
+<div class="collapsible collapsed">
+    <div class="collapsible-title">
+        前言正文
+    </div>
+    <div class="collapsible-content">
+	<p></p>
+        <p>我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的状态。自此便有了用严格的数学论证来解决这种世界解谜的想法，然而苦于当时数学功底不够、那些线上线下的教程又对我这种“跳级生”极其的不友好，最终还是将它抛到脑后去了。</p>
+<p>但是我最开始想做关于线性代数的内容却是在高一上期末那会，刚好我的竞赛内容推进到了高斯消元相关内容，因而我对线性代数的内容有了一定了解。正巧年末购书有优惠，买了一本Steven
+J.
+Leon的《线性代数》（原书第十版）自己学习。深谙零基础学生自学的痛苦的我随即就想要上一篇全网最简明易懂的线性代数教程出来，这篇教程旨在让零基础初学者也能吸收学会线性代数的相关知识点。你可以将它理解成上述《线性代数》著作的一个口语版理解和集注，我所做的就是将书中的晦涩的知识自己吸收后转化为易于读者消化的简明概述。也正是因为其趣味性的必需特点，部分科学定义可能在本教程转述时出现细微的偏颇，还请指出，但在编写过程中我会尽量将原书的科学性与本教程的趣味性、通俗性有机融合起来，从而让读者毫不费力地学习线性代数的知识内容，快乐学习。</p>
+
+	<p></p>	
+    </div>
+</div>
+<div class="collapsible collapsed">
+    <div class="collapsible-title">
+        更新记录
+    </div>
+    <div class="collapsible-content">
+	<p></p>
+        <p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="16.294ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 7202 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 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+<p>重置了有关<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.488ex;" xmlns="http://www.w3.org/2000/svg" width="6.293ex" height="2.108ex" role="img" focusable="false" viewBox="0 -716.3 2781.3 931.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43F" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g><g data-mml-node="mspace" transform="translate(681,0)"></g><g data-mml-node="mpadded" transform="translate(356,0)"><g transform="translate(0,210)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mstyle" transform="scale(0.707)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></g></g></g><g data-mml-node="mspace" transform="translate(886.3,0)"></g><g data-mml-node="mi" transform="translate(716.3,0)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g data-mml-node="mspace" transform="translate(1420.3,0)"></g><g data-mml-node="mpadded" transform="translate(1280.3,0)"><g transform="translate(0,-215.5)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></g><g data-mml-node="mspace" transform="translate(2044.3,0)"></g><g data-mml-node="mi" transform="translate(1929.3,0)"><path data-c="1D44B" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path></g></g></g></svg></mjx-container></span>渲染的插件和脚本，弃用了不美观的katex渲染。该博客目前使用观感更佳的Pandoc进行<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.488ex;" xmlns="http://www.w3.org/2000/svg" width="6.293ex" height="2.108ex" role="img" focusable="false" viewBox="0 -716.3 2781.3 931.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43F" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g><g data-mml-node="mspace" transform="translate(681,0)"></g><g data-mml-node="mpadded" transform="translate(356,0)"><g transform="translate(0,210)"><g data-mml-node="TeXAtom" 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637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g data-mml-node="mspace" transform="translate(1420.3,0)"></g><g data-mml-node="mpadded" transform="translate(1280.3,0)"><g transform="translate(0,-215.5)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></g><g data-mml-node="mspace" transform="translate(2044.3,0)"></g><g data-mml-node="mi" transform="translate(1929.3,0)"><path data-c="1D44B" d="M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z"></path></g></g></g></svg></mjx-container></span>渲染。</p>
+<p><span class="spoiler" onclick="this.classList.toggle('spoiler')"> <span class="spoiler-blur">不得不说Hexo搞这个LaTeX是真的让人头疼……</span>
+</span></p>
+
+	<p></p>	
+    </div>
+</div>
+<h4 id="第一节-方程组与矩阵的互相转化">第一节
+方程组与矩阵的互相转化</h4>
+<p>假设我们有一个方程组：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="21.428ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 9471.1 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1051)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 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87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(4795.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(5851.1,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(9471.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。首先将所有未知数提到等号左侧，常数全部移到右侧。我们暂时先忽略掉等号右边的常数项。我们将每行未知数的系数提取出来，放入矩阵的第一行，矩阵的第一行就表示方程组中第一个方程的未知数系数（没有默认为0），以此类推到下边几行，最终你会得到一个列数与未知数个数相等、行数与方程个数相等的矩阵。本例中它长成这个样子：</p>
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+<p>如此得到的矩阵叫做<strong>系数矩阵</strong>，顾名思义，它只表示了原方程组的系数，而忽略了常数项。它同时也是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵，一般地，对于一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="6.11ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2700.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>矩阵（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="10.182ex" height="2.016ex" role="img" focusable="false" viewBox="0 -683 4500.4 891"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1044.7,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2200.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(3145.2,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>），它有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>列。</p>
+<p>此时，如果我们加上等号右侧的常数项，原先的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵会变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 2222.4 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>的。人们为了区分常数和系数，选择在书写时将常数加入到最右侧那一列，并且在最右一列的前面加上竖线分隔系数，如此得到的矩阵叫做<strong>增广矩阵</strong>。本例中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的增广矩阵形式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.325ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1027.5 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>写作：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="26.871ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 11877 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1305.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2361,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(389,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(2667,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(4556,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(7293,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd" transform="translate(389,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(4556,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6904,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(2667,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4945,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(7293,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="6369" y1="-1650" x2="6369" y2="2150"></line></g><g data-mml-node="mo" transform="translate(8849,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 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+<p>当矩阵元素不明时（通常是为了举例），我们为了简便表示矩阵本身，采用右下角元素+括号的方式。例如一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="4.478ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 1979.4 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(567.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1567.4,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，可以写作：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="9.07ex" height="2.363ex" role="img" focusable="false" viewBox="0 -750 4008.8 1044.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2083.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2472.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3619.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="第二节-矩阵的基本运算">第二节 矩阵的基本运算</h4>
+<p><strong>1. 矩阵加法</strong></p>
+<p>仅限构造相同的矩阵，也就是说进行加法运算的两个矩阵行列数必须相同，这样的两个矩阵是<strong>同型的</strong>。相加时同一行同一列的元素相加即可（增广矩阵同理）。</p>
+<p>例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="73.038ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 32282.9 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 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+<p>矩阵加法满足：结合律、交换律</p>
+<p><strong>2. 矩阵减法</strong></p>
+<p>矩阵减法是矩阵加法的逆运算，因此对于两个矩阵的形式要求同上，只是相同位置的元素相减而已。</p>
+<p>矩阵减法满足：结合律、交换律</p>
+<p><strong>3. 标量乘法/矩阵数乘</strong></p>
+<p>矩阵的数乘也很简单，让矩阵中每个元素乘以这个数就可以了。</p>
+<p>例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="59.712ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 26392.9 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mrow" transform="translate(1222.4,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" 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x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 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323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 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data-mml-node="mtd"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(4028,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5445,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>矩阵数乘满足：交换律、结合律、分配律</p>
+<p><strong>4. 矩阵转置</strong></p>
+<p>矩阵转置就是将原矩阵的行变成新矩阵的列，直观理解就是顺时针旋转90度后再水平镜像过去。转置用上标<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.593ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 704 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>表示。</p>
+<p>例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="17.411ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 7695.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 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50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 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data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4945,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.725ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8276.4 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 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+<p>矩阵的主对角线（左上-右下）元素转置前后不变，且具有可逆性[<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="10.799ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 4773.2 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(389,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 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630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(2967.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4023.2,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>]、数乘不变[<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.186ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 8038.1 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(1132.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msup" transform="translate(1632.4,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 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380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(5429,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mo" transform="translate(5929.2,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(6318.2,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(7649.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>]、分配律[<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.547ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 6872 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(1139,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="msup" transform="translate(1898,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(3145.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 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621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="msup" transform="translate(5532.2,0)"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>]。</p>
+<p>有一类特殊矩阵，它转置后恰好就是它自身。这类矩阵被称为<strong>对称矩阵</strong>，它是<strong>自转置的</strong>，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.725ex" height="2.09ex" role="img" focusable="false" viewBox="0 -841.7 3414.4 923.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(1608.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2664.4,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>。对称矩阵的元素恰好关于主对角线对称，并且是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的正方形矩阵。这两条性质是对称矩阵的两个基本性质。</p>
+<p><strong>5. 矩阵乘法</strong></p>
+<p>该内容将在第二章涉及。</p>
+<h4 id="第三节-消元">第三节 消元</h4>
+<p>按照一般思路（就是我们在小学学的方法），我们会选择通过方程互相加减各自的倍数，达到消去未知数的目的。这种方法在矩阵上同样适用，而且它有一个贼高坤的名称：<strong>高斯消元法</strong>（Gaussian
+Elimination）。</p>
+<p>回忆一下我们从出生就会用的消元原理，我们的目标就是让每个未知数都对应一个常数项，那么它的值就可以直接用常数除以系数的方式求出。矩阵中也是如此，为了能够化简出可直接求解的矩阵，我们在此引入<strong>初等行变换</strong>的概念：</p>
+<ol type="1">
+<li>交换某两行</li>
+<li>把矩阵的某一行同乘以一个非零的数</li>
+<li>把某行的若干倍加和到另一行</li>
+</ol>
+<p>这三条很容易理解。第一条：相当于交换方程组顺序，不影响计算；第二条：相当于对某一行方程放缩某倍，它等价于原方程；第三条：相当于前两条的融合，也是消元的关键一招。这三条规则在之后的初等矩阵内容中会再次出现。</p>
+<p>首先从<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/blog/justpureh2o/oint-pt7-matrix">一个例子</a>讲起，让读者感受一下初等行变换的魅力：</p>
+<p>考虑这个方程组：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="25.591ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 11311.1 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1051)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 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262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(11311.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>按照如上所述，将它转写成增广矩阵的形式：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="20.71ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 9154 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 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549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 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666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(6515,0)"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(8279,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>我们总结一下常用的消元原理，应用到矩阵上就是：</p>
+<ol type="1">
+<li>枚举每一列<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>，选出无序组中第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列系数绝对值最大的一行<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>，并移到无序组的最上边。（变换规则一）</li>
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>行通过自乘，将第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列的系数变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，并标记<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为有序。（变换规则二）</li>
+<li>通过加减有序组中某一行的非零倍，将之后所有行的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列系数化为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。（变换规则三）</li>
+</ol>
+<p>令矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="23.664ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 10459.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2083.6,0)"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g 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data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(7501,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>（有序组用绿色表示）</p>
+<p>枚举第一列，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.128ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2266.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(710.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1766.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。开始时，所有行均无序。选出绝对值最大的那一项，本例中为第二行，进行移动，原矩阵变为：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.95ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8376 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 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306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g 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transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(7501,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>第二步，自乘并标记有序，因此第一行除以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 500 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>，原矩阵就变成了：</p>
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1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g 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transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>第三步，将无序组的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列消成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。本例中，我们让第二行减去二倍第一行；第三行直接减去第一行，得到：</p>
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1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1639,0)"><g 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431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g><g data-mml-node="mtd" transform="translate(8182,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 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-579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>枚举第二列，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.128ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2266.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(710.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1766.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>。第一步，选出第二列系数绝对值最大的那一行，移到无序组最上端。本例中无需移动，自乘<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.816ex;" xmlns="http://www.w3.org/2000/svg" width="3.556ex" height="2.773ex" role="img" focusable="false" viewBox="0 -864.9 1571.6 1225.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mfrac" transform="translate(778,0)"><g data-mml-node="mn" transform="translate(220,394) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(220,-345) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><rect width="553.6" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>，标记有序，原矩阵为：</p>
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+<p>最终的最终，第三行减<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.579ex" role="img" focusable="false" viewBox="0 -676 1778 698"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>倍第二行，得到我们心心念念的化简后的矩阵：</p>
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211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(2139,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4917,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 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transform="translate(2139,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(5306,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(8154,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="7369" y1="-1650" x2="7369" y2="2150"></line></g><g data-mml-node="mo" transform="translate(10557,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 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+<p>为什么把矩阵化简成这种金字塔型的形式呢？你会发现：最后一行仅有一个带系数的未知数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1008.6 607.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></svg></mjx-container></span>，我们直接求，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="8.19ex" height="1.881ex" role="img" focusable="false" viewBox="0 -666 3620.1 831.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2342.1,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3120.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。向上一行，现在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1008.6 607.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></svg></mjx-container></span>相当于常数，移到常数中与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>合并，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.339ex" role="img" focusable="false" viewBox="0 -442 1008.6 592"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>也可直接求了……经过如上的反代操作，三个未知数都会被求出来。至此我们才发现这个三角形矩阵的魅力之处。</p>
+<p>一般地，对于一个矩阵，如果它的非零系数呈阶梯形分布，则称这类矩阵为<strong>行阶梯形矩阵</strong>。将非零系数挑出来，它们组成的是一个<strong>上三角形矩阵</strong>；对应地，零项就会组成<strong>下三角矩阵</strong>。上三角矩阵通常以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>表示、下三角矩阵通常用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.541ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 681 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43F" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g></g></g></svg></mjx-container></span>表示。</p>
+<p>原方程组有唯一解：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="8.972ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 3965.6 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1051)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z" transform="translate(0,-551)"></path><path data-c="23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="81" y="1060" x="0" viewBox="0 14.3 889 81"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,0.398)"></path></svg><svg width="889" height="81" y="-641" x="0" viewBox="0 14.3 889 81"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,0.398)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,1200)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,0)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1200)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(742.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1798.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2576.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3965.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<h4 id="第四节-秩">第四节 秩</h4>
+<p>类比一元二次方程的根存在性判别法——<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="394" d="M51 0Q46 4 46 7Q46 9 215 357T388 709Q391 716 416 716Q439 716 444 709Q447 705 616 357T786 7Q786 4 781 0H51ZM507 344L384 596L137 92L383 91H630Q630 93 507 344Z"></path></g></g></g></svg></mjx-container></span>判别式法，即对于一元二次方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="16.403ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 7250 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="msup" transform="translate(529,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1759.8,0)"><path data-c="2B" d="M56 237T56 250T70 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404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(3983.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(4983.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(5694.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(6750,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，根的个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.565ex;" xmlns="http://www.w3.org/2000/svg" width="19.974ex" height="8.262ex" role="img" focusable="false" viewBox="0 -2075.9 8828.3 3651.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1055.8,0)"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1176.9)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 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-22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(7772.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。那么，矩阵方程是否也有类似的根存在性判别方法呢？</p>
+<p>答案是有的，而且不止一种，这意味着“矩阵是否有解”这样的问题会有多种解决方案。现在介绍的是最为简单常用的一种——秩。</p>
+<p><strong>在线性代数中，一个矩阵A的列秩是A的线性独立的纵列的极大数目。类似地，行秩是A的线性无关的横行的极大数目。即如果把矩阵看成一个个行向量或者列向量，秩就是这些行向量或者列向量的秩，也就是极大无关组中所含向量的个数。</strong></p>
+<p>……咱们抛掉这种看也看不懂的高级语文句法，听我给你总结：</p>
+<p>通俗来讲，把一个矩阵化成最简形式（特指行阶梯形）后，非零行的个数就是矩阵的秩。这其实是秩的最大线性无关组的定义。再次白话总结：如果存在三个行向量（列向量一样的，保证所有向量都是行/列向量即可）：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="37.468ex" height="3.048ex" role="img" focusable="false" viewBox="0 -1097 16561 1347"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 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250Z"></path></g><g data-mml-node="mn" transform="translate(13782.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(14282.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(14727.3,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(15227.3,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(15672,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(16172,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。根据高中数学中立体几何的知识——<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.934ex" role="img" focusable="false" viewBox="0 -845 529 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="2.507ex" role="img" focusable="false" viewBox="0 -1097 429 1108"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>显然是共线的（就是值的最简比相同，本例中均为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="7.165ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 3167.1 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(777.8,0)"><path data-c="3A" d="M78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path></g><g data-mml-node="mn" transform="translate(1333.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(2111.3,0)"><path data-c="3A" d="M78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path></g><g data-mml-node="mn" transform="translate(2667.1,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>）像这样共线的两个向量，拉到线性代数中就说他们是<strong>线性相关的</strong>；反之是<strong>线性无关的</strong>，例如本例中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.183ex" height="2.351ex" role="img" focusable="false" viewBox="0 -845 1406.7 1039"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(973.7,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(272.1,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.956ex" height="2.921ex" role="img" focusable="false" viewBox="0 -1097 1306.7 1291"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(429,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(873.7,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(272.1,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>这两组向量互相不共线，它们互相都是线性无关的。</p>
+<p>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的秩用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.174ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2287 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示[<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.477ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1979 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(451,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(840,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1590,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.656ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2500 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(451,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(972,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1361,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2111,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="7.079ex" height="1.645ex" role="img" focusable="false" viewBox="0 -716 3129 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(451,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(980,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1580,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mstyle" transform="translate(2101,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(2379,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.21ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3629 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(451,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(980,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1580,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2101,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2490,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(3240,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>等均可]。</p>
+<p>现在明白了吧，如果一个矩阵的某两行线性相关，它们都会被初等行变换第三条狠狠薄纱——在乘/除一个非零数后相减，其中一行就会被全部消成0，从方程组角度来看就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="33.691ex" height="2.016ex" role="img" focusable="false" viewBox="0 -683 14891.6 891"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="msub" transform="translate(500,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1730.8,0)"><path 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+<p>当然上边这一段也有表述不准确之处，假设有一个增广矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="20.963ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 9265.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" 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+<p>第二行不乐意了，它还存留这最后一点倔强，好像在说：“你总结的不对呢~<del>真是雑鱼</del>~”。但是明眼人都看得出来，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="21.679ex" height="1.881ex" role="img" focusable="false" viewBox="0 -666 9582.1 831.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="msub" transform="translate(500,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 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transform="translate(3898,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>，可是它对应的系数矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.059ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 7982 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1314.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2370,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(389,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd" transform="translate(389,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4945,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>的秩<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.343ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4129.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1907,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2573.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3629.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>，就有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="14.014ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 6194 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1148,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(2175.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 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16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4657,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5046,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5805,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="14.014ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 6194 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1148,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(2175.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2842.2,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mi" transform="translate(3898,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4657,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5046,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5805,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，于是我们就找到了矩阵无解的一个条件了。<strong>矩阵无解的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.386ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5916.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 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19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></strong>。</p>
+<p>再考虑有无穷解的情况：无非就是出现了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="27.656ex" height="1.927ex" role="img" focusable="false" viewBox="0 -694 12224.1 851.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="msub" transform="translate(500,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1730.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 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477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(554,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="msub" transform="translate(9342.3,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(10699.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(11755.1,0)"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g></g></g></svg></mjx-container></span>的情况，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.339ex" role="img" focusable="false" viewBox="0 -442 1008.6 592"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>可以代任何值。与无解不同，这次的最简行阶梯形矩阵，无论是系数矩阵还是增广矩阵形式，它们的秩都是相同的，并且都浪费了至少一行方程式。我们知道：一个三元一次方程组是无法用相异的（行向量形式表示下不共线）两个方程解出唯一值的，相反，解形如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="13.174ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 5823.1 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 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404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5823.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>表明<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.339ex" role="img" focusable="false" viewBox="0 -442 1008.6 592"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.339ex" role="img" focusable="false" viewBox="0 -442 1008.6 592"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>确定、而<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="4.042ex" height="1.658ex" role="img" focusable="false" viewBox="0 -583 1786.6 733"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msub" transform="translate(778,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>又由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="6.179ex" height="1.846ex" role="img" focusable="false" viewBox="0 -666 2731 816"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1230.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2231,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>确定，然而这俩都不确定，导致这两个数可以取无穷多的值，也就导致矩阵有无穷组解。综上：<strong>矩阵有无穷组解的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>为未知数个数）</strong>。</p>
+<p>最后就是有唯一解：如果一切进行顺利的话，既没有全零行，也没有无解行。那么<strong>此时系数矩阵和增广矩阵的秩会相同，且等于未知数个数</strong>，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>总结，假设一个由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个未知数组成的最简行阶梯形矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>、以及它的增广矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>。矩阵解的个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="26.685ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 11794.9 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1055.8,0)"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 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+<hr>
+<p><strong>例1.1.1 Delivery Mathematics 快递员的数学题</strong></p>
+<blockquote>
+<p>「稻妻狛荷屋的人气跨国快递员绮良良在送货途中遇到了一个难题，你作为无所不知无所不晓的旅行者自然是乐意地接下了她的委托。当你来到委托地点时，你发现这是一道解谜题目……」</p>
+<p>稻妻号称最难的方块解谜是一组由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="9.553ex" height="2.016ex" role="img" focusable="false" viewBox="0 -683 4222.4 891"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1044.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1922.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(2867.2,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>个正方体可旋转方块组成的阵列，击打其中的某个方块会使得与之相关联的其他方块共同旋转一个特定角度。在这个谜题中，每个方块每次仅能水平顺时针旋转90度，传动方式在下图给出。问若要使所有方块同时朝向北方，需要如何击打方块？给出任意可行解，但需要保证每个方块旋转的次数不超过4（不击打也可以，相当于次数为0）。</p>
+<p>由于钟离先生远在海那一头的璃月喝茶听评书、宵宫也正忙着制作夏日祭的烟花而无法抽身、香菱在万民堂做饭、安柏在侦察蒙德郊区、芙宁娜忙着吃蛋糕……总之没有其他人<del>召唤物</del>能帮你解决这个问题，你只能凭借自己的力量解开这个谜题。</p>
+</blockquote>
+<figure>
+<img src="https://cdn.luogu.com.cn/upload/image_hosting/il77wp8x.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/il77wp8x.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图1.3.1">
+<figcaption aria-hidden="true">图1.3.1</figcaption>
+</figure>
+<p><em>问题分析</em>：首先我们要搞清楚传动规则，我们会发现当你击打了一个方块，包括它在内、再按顺时针方向数两个方块都在旋转相同的角度。这也是这道题被称作难题的原因之一，只用想象力是很难想象的出来的……于是为了用代数方法解决该问题，我们选择用四个未知数、四个方程表示每个方块操作后的状态，问题解决的标志既为四个方块的状态均为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>表示北方）。</p>
+<p><em>算法设计</em>：考虑到单个方块每旋转四次就相当于一次循环，因此我们重定义方向标，从北开始，顺时针方向将方位标记为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="32.181ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 14223.9 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 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data-mml-node="mi" transform="translate(11290.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(12168.1,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 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119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。这么做可以避免一些复杂的取模运算。接着我们根据传动规则表示每个方块的状态，令方块1-4被击打次数分别为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="8.093ex" height="1.466ex" role="img" focusable="false" viewBox="0 -443 3577 648"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="mo" transform="translate(716,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1160.7,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1732.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2177.3,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2667.3,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3112,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>。以方块1为例：击打自己、3号和4号都会导致1号顺时针旋转90°，再算上1号初始朝向为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>，得到：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="18.715ex" height="1.995ex" role="img" focusable="false" viewBox="0 -677 8271.9 882"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="mo" transform="translate(938.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(1938.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2650.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(3650.9,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(4338.1,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(5338.3,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(6116.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(7171.9,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mi" transform="translate(7671.9,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。其他方块以此类推，解析出的方程组对其求解即可。这样的矩阵一定有唯一解，每个未知数都以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>表示，将一个自然数代入<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>值即可解出答案。</p>
+<p><em>解</em>：设方块1-4的击打次数分别为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="12.492ex" height="2.009ex" role="img" focusable="false" viewBox="0 -683 5521.6 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="mo" transform="translate(716,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1160.7,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1732.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2177.3,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2667.3,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3112,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(3854.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(4799.6,0)"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g></g></g></svg></mjx-container></span>，设朝向从北方按顺时针方向分别为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="31.427ex" height="1.984ex" role="img" focusable="false" viewBox="0 -683 13890.6 877"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1100,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 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525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(10901.3,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(11346,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(12223.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(13168.6,0)"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>根据传动规则，有如下线性方程组：</p>
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+<p>增广矩阵形式为：</p>
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17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-2100)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 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+<p>（化简过程略），行阶梯形式为：</p>
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+<p>因为系数矩阵的秩与增广矩阵的秩相同且都等于未知数个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 500 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>，因此矩阵有唯一解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -5.712ex;" xmlns="http://www.w3.org/2000/svg" width="11.448ex" height="12.554ex" role="img" focusable="false" viewBox="0 -3024.5 5060.1 5549"><g stroke="currentColor" fill="currentColor" 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67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><rect width="1881.5" height="60" x="120" y="220"></rect></g></g></g></g><g data-mml-node="mo" transform="translate(5060.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。易知<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的合法值满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="12.791ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 5653.7 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mi" transform="translate(2222.4,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2743.4,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3188.1,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(3986.9,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(4931.7,0)"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g></g></g></svg></mjx-container></span>的数学关系，此处求最小值，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.506ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2433.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -4.638ex;" xmlns="http://www.w3.org/2000/svg" width="7.78ex" height="10.407ex" role="img" focusable="false" viewBox="0 -2550 3438.6 4600"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1651)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z" transform="translate(0,-1151)"></path><path data-c="23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="681" y="1060" x="0" viewBox="0 120 889 681"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,3.349)"></path></svg><svg width="889" height="681" y="-1241" x="0" viewBox="0 120 889 681"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,3.349)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,1800)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="mo" transform="translate(993.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2049.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1800)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(742.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1798.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3438.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。</p>
+<p>因此，最佳方案是<del>暴击</del>击打2号和3号方块各两次。</p>
+<p><em>后日谈</em>：有些读者可能会问，这个难道不是有无穷解吗？为什么上边说这个矩阵只有唯一解？其实这个矩阵确实只有唯一解，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.534ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7750.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(7250.1,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>，造成它有无数组解的原因是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>这个自然数。我们在开头只为这个矩阵设定了四个未知数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="8.093ex" height="1.466ex" role="img" focusable="false" viewBox="0 -443 3577 648"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g data-mml-node="mo" transform="translate(716,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1160.7,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1732.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2177.3,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2667.3,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3112,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>，因此矩阵只有四个元，因而有唯一解。</p>
+<hr>
+<p><strong>洛谷习题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3389">P3389 [模板]
+高斯消元法</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P2455">P2455 [SDOI2006]
+线性方程组</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4035">P4035 [JSOI2008]
+球形空间产生器</a></li>
+</ol>
+<hr>
+<h3 id="第二章-矩阵乘法">第二章 矩阵乘法</h3>
+<h4 id="第一节-什么是矩阵乘法">第一节 什么是矩阵乘法</h4>
+<p>你经常能在各种线性代数的书上看到这样一串定义式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="17.985ex" height="5.558ex" role="img" focusable="false" viewBox="0 -1410.7 7949.2 2456.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msub" transform="translate(1898,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="TeXAtom" transform="translate(422,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3183.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(4238.8,0)"><g data-mml-node="mo" transform="translate(45.8,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(396,998.2) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g><g data-mml-node="msub" transform="translate(5553.1,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 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data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>。这对于自学者（<del>比如说我自己</del>）其实是非常不友好的。他们在举例计算时很容易被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="4.903ex" height="2.032ex" role="img" focusable="false" viewBox="0 -694 2167.3 898"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(789.7,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(1201.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1646.3,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>绕进去，不仅计算速度慢不说，还很容易出错……那我在此举出一个简记方法：</p>
+<p>将左边的矩阵的每一行看作每个未知数都代了确定值的方程、右边的矩阵每一列看作是前者方程的未知数系数。二者相乘本质上就是让未知数和系数匹配上，并计算出结果放入结果矩阵的特定位置。这个特定位置也有讲究——计算时我们需要固定一个行/列，相对应地我们需要遍历另一个矩阵的列/行，遍历的方向就是这个“特定位置”的排布方向，当遍历完一轮，开始下一轮时，这个“特定位置”的起始点将移到下一行/列，若固定一列则右移一列；反之下移一行。看以下例子来加深理解：</p>
+<figure>
+<img src="https://pic.imgdb.cn/item/65ae6158871b83018a97e011.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65ae6158871b83018a97e011.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图2.1.1">
+<figcaption aria-hidden="true">图2.1.1</figcaption>
+</figure>
+<p>这是固定特定列求值的例子，固定行求值留给读者自行实操。<del>不想再做图了，我太懒了</del></p>
+<p>那么什么样的矩阵才能进行乘法运算呢？答案是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.261ex" height="1.55ex" role="img" focusable="false" viewBox="0 -491 2325.4 685"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>和一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.89ex" height="1.55ex" role="img" focusable="false" viewBox="0 -491 2603.4 685"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(725.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1725.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的矩阵，观察规律，我们发现前矩阵的列数需要等于后矩阵的行数。根据如上概括的矩阵乘法的意义——即搭配未知数与系数。显然，当后一个矩阵的列数大于前一个矩阵的行数时，我们进行系数配对时就会发现多出几个失配的系数。<del>矩阵乘法国不养闲人，这种单身汉显然是不可以光天化日下大摇大摆出来遛弯的</del>。因此保证其中一个矩阵的行数等于另一个矩阵的列数后方可相乘。</p>
+<p>类比四则运算的乘法，矩阵乘法是否也有结合律、分配律和交换律呢？很遗憾，不完全是，前二者是矩阵乘法运算所具备的性质、但最后那个交换律不是。<strong>不是所有的矩阵相乘都满足乘法交换律</strong>，举几个特例：同型零矩阵相乘、一个矩阵（可逆）和它的逆矩阵相乘，矩阵乘法满足交换律的充要条件证明过于复杂烧脑，此处不做陈述<del>主要是我也不会证qwq……</del>。</p>
+<p><strong>证明：一般矩阵不满足乘法交换律</strong></p>
+<p>假设一般矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.65ex;" xmlns="http://www.w3.org/2000/svg" width="9.623ex" height="2.347ex" role="img" focusable="false" viewBox="0 -750 4253.5 1037.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" 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433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3864.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，一般矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.65ex;" xmlns="http://www.w3.org/2000/svg" width="9.862ex" height="2.347ex" role="img" focusable="false" viewBox="0 -750 4359.1 1037.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2092.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2481.6,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(503,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3970.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1509 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>可以进行，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的行数和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>的行数均为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>。得到的乘积<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="6.739ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2978.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1100.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(2100.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>矩阵；反过来，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1509 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(759,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>无法进行，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>的列数不等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的行数，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="6.361ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 2811.6 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1155.8,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mi" transform="translate(2211.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="20.357ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8997.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2083.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2472.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(600,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3933.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4322.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(4766.8,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5803.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(6859.3,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(7248.3,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(600,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(8608.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1509 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.414ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1509 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(759,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>均可进行，假设乘积为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.584ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4236.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(1037.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2093.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2482.6,0)"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="TeXAtom" transform="translate(466,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(600,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3847.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.151ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3602.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(1037.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2093.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(2843.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>时，根据矩阵乘法的计算式，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.411ex;" xmlns="http://www.w3.org/2000/svg" width="14.072ex" height="5.494ex" role="img" focusable="false" viewBox="0 -1362.5 6219.7 2428.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="TeXAtom" transform="translate(466,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1329.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(2384.8,0)"><g data-mml-node="mo" transform="translate(108,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-907.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(423.9,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msub" transform="translate(3823.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="msub" transform="translate(5047.9,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>；当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.151ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3602.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(1037.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2093.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(2852.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>时，根据计算公式得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.411ex;" xmlns="http://www.w3.org/2000/svg" width="14.072ex" height="5.494ex" role="img" focusable="false" viewBox="0 -1362.5 6219.7 2428.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="TeXAtom" transform="translate(466,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1329.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(2384.8,0)"><g data-mml-node="mo" transform="translate(108,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-907.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(423.9,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msub" transform="translate(3823.6,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="msub" transform="translate(4947.9,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>。一般情况下，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="13.859ex" height="2.286ex" role="img" focusable="false" viewBox="0 -716 6125.7 1010.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="msub" transform="translate(1224.4,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2673.9,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="msub" transform="translate(3729.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g><g data-mml-node="msub" transform="translate(5001.4,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="TeXAtom" transform="translate(462,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></g></svg></mjx-container></span>。得证。</p>
+<p>矩阵和数字一样，也有幂次方的计算。特殊地，任意<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>非零矩阵的零次幂都是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的单位矩阵。<strong>主对角线的值全是1，其余元素均为0的矩阵叫做单位矩阵</strong>，用字母<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>表示；<strong>零矩阵的任何非零正整数次幂都是一个零矩阵，零矩阵的元素全部是0</strong>，用字母<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.726ex" height="1.643ex" role="img" focusable="false" viewBox="0 -704 763 726"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g></g></g></svg></mjx-container></span>表示。一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>的单位矩阵是这样的：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="15.094ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6671.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(781.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1837.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>。在算法设计中，经常用类似于大数快速幂（位运算版本）的方式快速计算矩阵的幂次方。</p>
+<hr>
+<p><strong>例2.1.1 Akasha Browser with Irminsul Kernel
+世界树搜索引擎</strong></p>
+<blockquote>
+<p>你作为刚刚清除了须弥世界树痼疾的英雄旅行者，突然对虚空终端的运作方式有了兴趣。你从大贤者那里了解<del>逼问</del>到，虚空终端实质上是一个仅显示搜索结果的前端程序，但关键词搜索功能却是基于须弥地下空间的世界树。带着这个疑问，你再次来到了世界树前，见到了小吉祥草王大人，希望能让她告诉你世界树的运作方式……</p>
+</blockquote>
+<p><em>背景知识</em>：
+一般浏览器的结果返回功能大多数依赖于矩阵运算，这里属于最简单的一种——我们只需要矩阵的乘法运算（某些情况下会用到转置）。然而随着科技的快步发展，数据量的快速增加，这种方式如今只在很小的范围内被使用（由于码量小思维简单，它有时会在个人博客的关键词搜索功能中被用到）；目前广泛使用的一种是向量相似性搜索，它本质上是在一定范围内搜索与目标向量辐角最为接近的已有向量，在“矩阵的几何表示”章节中会涉及到。这里介绍的是简单匹配搜索。</p>
+<p><em>问题分析</em>：因为矩阵乘法本质上是未知数和系数的配对求值，我们需要构造一个方法来使得“搜索内容”和“已有内容”配对。并且<strong>搜索引擎总会返回与你搜索的内容最为相似的结果</strong>，搜索“比尔·盖茨”，第一条肯定是关于他个人的介绍，而绝对不可能是一则寻狗启示……因此，我们设计的矩阵必须能在经历一轮运算后能够正确返回每个关键词出现的频率（简单点说就是出现次数），这样虚空终端才能对频率进行排序，并返回频率最大的那个结果。</p>
+<p><em>算法设计</em>：不妨考虑这样几个矩阵——其中一个存储关键词、另一个存储搜索内容。比如我需要将几篇论文（为方便使用英文表示，并且假设词根相同的单词为同一个单词，即不考虑词汇变形）《Basic
+Structure of Elemental Monuments》（元素方碑的底层构造）、《Junior
+Elemental Reaction》（初等元素反应）、《Advanced Elemental
+Theory》（高等元素论）、《Architectural Structure in the Mausoleum of
+King Deshret》（赤王陵的建筑结构）以及《Advanced Sumeru Linguistic
+Analysis》（高等须弥语音学解析）。我们在此次挑选一些关键词存储（方便读者观察）：<code>Structure</code>、<code>Element</code>、<code>Junior</code>和<code>Advanced</code>。为每篇论文编号1-5，矩阵如下图：</p>
+<figure>
+<img src="https://cdn.luogu.com.cn/upload/image_hosting/ayw9s13o.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/ayw9s13o.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图例2.1.1">
+<figcaption aria-hidden="true">图例2.1.1</figcaption>
+</figure>
+<p>假如热爱学习的艾尔海森来到了教令院的大图书馆，它想测试一下这全新开发的文献查询系统，输入了<code>Advanced</code>一词。假设已录入数据库就是以上形式，我们如何构造一个“查询矩阵”来和数据库矩阵进行运算呢？</p>
+<p>首先根据矩阵乘法的前提要求，这个查询矩阵必须是四行。不妨让每行代表我们的词库词语，艾尔海森输入的是<code>Advanced</code>——即对应数据库矩阵的第四列（未知数），我们要配对它的系数，因此它必须在第四行，才能保证系数正确匹配未知数。同理，查询矩阵的第一行对应<code>Structure</code>、第二行<code>Element</code>、第三行<code>Junior</code>。他输入了一个<code>Advanced</code>，因此我们的查询矩阵如下图：</p>
+<figure>
+<img src="https://cdn.luogu.com.cn/upload/image_hosting/nxoslcju.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/nxoslcju.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图例2.1.2">
+<figcaption aria-hidden="true">图例2.1.2</figcaption>
+</figure>
+<p>乘法的目的是将二者匹配起来，得到的结果如下图：</p>
+<figure>
+<img src="https://cdn.luogu.com.cn/upload/image_hosting/m9yr6m9c.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/m9yr6m9c.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图例2.1.3">
+<figcaption aria-hidden="true">图例2.1.3</figcaption>
+</figure>
+<p>返回矩阵的数字代表关键词在对应数据库项中的出现次数，也就是说，如果此时再加入一篇论文《Advanced
+Usage of the Word
+Advanced》（“Advanced”一词的进阶用法），返回矩阵的最后一行（第六行）会出现一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>。经过虚空终端的一轮排序，它自然就会来到第一位的位置。如果要分别查询两个不同关键词，在查询矩阵右侧再加一列即可，返回矩阵中多出的一列就是新关键词的出现次数；如果需要同时查询两个关键词，在同一列对应位置写入<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>即可……</p>
+<p><em>后日谈</em>：<del>可靠情报称——愚人众第二席执行官“博士”伙同教令院高层贤者向世界树中加入了大量带有重复词语标题的、正文中充满了强烈心理暗示的催眠文献，须弥民众所佩戴的虚空终端中写入的关键词查询算法自动按关键词出现频率返回结果、其内置的播放功能在结果返回后自动激活，播放其中内容，导致须弥大范围民众出现意识不清、报告称出现“重复经历同一天”、“既视感”等异常现象。后续调查正持续跟进中……——《蒸汽鸟报》记者
+夏洛蒂</del>
+须弥的大范围“失控”已被证明是须弥民众针对教令院的一次毫无意义的武装暴动，目前已被教令院大贤者和“博士”联合镇压。主要组织者纳西妲、旅行者已被尽数羁押等候问讯。——教令院</p>
+<p><strong>例2.1.2 Light Novel Query 轻小说查询</strong></p>
+<blockquote>
+<p>八重堂的主编八重神子最近在为轻小说的事情发愁……并不是因为销量不够，正相反：八重堂最近推出了一项跨国销售项目，各种经典作品被远销往了枫丹廷。这就牵涉出一个问题——枫丹的市民们不想远离枫丹城区、横穿须弥沙漠、翻越璃月高山、躲避稻妻雷暴就为了看一看有哪些轻小说符合自己的独特口味……于是八重神子找到了见多识广的你，希望你能帮她做出一套轻小说内容检索系统。当然作为报酬给你的原石和摩拉是肯定是不会少的……</p>
+<p>当然，这套系统有一定要求。因为有很多轻小说为了吸引读者，取的标题和内容是完全对不上号的，神子的想法是做一套正文内容检索——每本轻小说的总字数在出版时就统计好了，但是苦于稻妻的信息存储技术不是很发达，神子希望存储在数据库矩阵里的数据尽可能小。请问该如何设计符合要求的存储算法？</p>
+</blockquote>
+<p><em>问题分析</em>：每本书中特定的词可能重复出现成百上千次（同样用英文单词表示，且同词根不同词形的两个词算作同一个单词参与计数），我们的要求是让数据尽可能小，既然总字数都已经给出了，我们不妨使用指定词出现的频率来表示这个词的出现次数（单词出现次数=全书总词数×出现频率）。这样的搜索方法叫做相对频率搜索。</p>
+<p><em>算法设计</em>：大致原理和例2.1.1里的一模一样，只是数据库矩阵存储的不再是出现总次数，而是对应词的相对频率。因而图例2.1.3可以变化为如下形式：</p>
+<figure>
+<img src="https://cdn.luogu.com.cn/upload/image_hosting/n0j3vefk.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/n0j3vefk.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="图例2.2.1">
+<figcaption aria-hidden="true">图例2.2.1</figcaption>
+</figure>
+<p>明显一看，第三篇文章出现<code>Advanced</code>的频率最高，应该优先返回。但是这个例子并不是很好（<del>明明说了按内容搜索你还在这搜索标题</del>），但是当加入大量的正文内容时，这个方法的优势也就体现出来了。这里由于篇幅<del>图太大耗我洛谷高级图床空间，我也懒得写那么多字</del>原因就不举过长的例子，本例仅作对相对频率搜索的原理的理解。</p>
+<p><em>后日谈</em>：八重堂轻小说搜索引擎被教令院照搬去做了论文的查询系统……</p>
+<hr>
+<h4 id="第二节-初等矩阵与矩阵递推">第二节 初等矩阵与矩阵递推</h4>
+<p>假设存在一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，对<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>只进行一次初等行变换得到的矩阵叫做<strong>初等矩阵</strong>，通常用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>表示。一个矩阵的行变换和列变换都可以用初等矩阵的乘法进行。</p>
+<p>仅交换了两行的单位矩阵称作<strong>第I类初等矩阵</strong>（只进行了初等行变换第一条），将它左乘到一个矩阵前，可以进行相应的行运算；右乘到一个矩阵后可以进行相应的列运算。比如，一个第I类初等矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="16.618ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 7344.9 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(771,-150) scale(0.707)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g><g data-mml-node="mo" transform="translate(1455.2,0)"><path data-c="3D" d="M56 347Q56 360 70 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16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（交换第一、二行），和一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 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123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>。左乘就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.314ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8094.9 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(771,-150) scale(0.707)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g><g data-mml-node="mi" transform="translate(1177.4,0)"><path data-c="1D434" d="M208 74Q208 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362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path 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412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（交换一、二列）。</p>
+<p>仅将某一行乘以一个非零倍数的矩阵叫做<strong>第II类初等矩阵</strong>（只进行了初等行变换第二条），左乘行运算、右乘列运算。例如一个第II类初等矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="17.424ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 7701.3 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mi" transform="translate(504,0)"><path data-c="1D43C" d="M43 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transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 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16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（第一行乘3）和一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="15.651ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6917.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 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47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g></g><g data-mml-node="mtd" transform="translate(2000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(3500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4667,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（第一列乘3）。</p>
+<p>仅将某一行的非零倍加到另一行上的矩阵叫做<strong>第III类初等矩阵</strong>（只进行了初等行变换第三条），同样是左乘行运算、右乘列运算，但是有一点点小不同，不要根据思维定势随便写答案！例如一个第III类初等矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.23ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8057.7 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mi" transform="translate(504,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mi" transform="translate(1008,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2167.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(3223.7,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（第二行乘2加到第一行）和祖传的矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="15.651ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6917.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2083.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 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data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="21.058ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 9307.7 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 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136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 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402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>（<strong>第一列的2倍</strong>加到第二列）。注意初等矩阵的行列变换与乘法后矩阵的行列变换，哪一行/列乘了倍数、哪一行/列被加上了！</p>
+<p>因此我们可以不必使用高斯消元，仅使用初等矩阵乘法也可以达到将普通矩阵消元变成最简行阶梯形矩阵！而且它可以进行列运算，甚至比高斯消元法更高级一点。</p>
+<p>接下来是我们的矩阵递推。大家都知道斐波那契数列，它的前两项均为1，此后的每一项都是前两项之和，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="32.882ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 14533.9 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1314,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2369.8,0)"><g data-mml-node="mo" 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transform="translate(1933.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2433.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2878.2,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3756,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4811.8,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(12164.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。大多数信息竞赛生在学习到递归算法时都会被要求写程序求解斐波那契数列的某一项，当然代码也非常的简单，如下：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">long</span> <span class="token keyword">long</span> <span class="token function">fib</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">==</span> <span class="token number">1</span> <span class="token operator">||</span> n <span class="token operator">==</span> <span class="token number">2</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token function">fib</span><span class="token punctuation">(</span>n <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token function">fib</span><span class="token punctuation">(</span>n <span class="token operator">-</span> <span class="token number">2</span><span class="token punctuation">)</span><span class="token punctuation">;</span>	
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> n<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>n<span class="token punctuation">;</span>
+	cout<span class="token operator">&lt;&lt;</span><span class="token function">fib</span><span class="token punctuation">(</span>n<span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>这段代码其实就是照搬了上面的通项公式，但是递归有个弊端就是效率和内存，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>为百万级别、甚至十亿级别时它就显得很小丑了。那么我们如何用矩阵加速计算呢？我们用斐波那契数列的递推来向读者介绍矩阵递推的操作方法：</p>
+<p>首先我们将通项公式变成我们想要求的形式，为了便于输出，要求结果矩阵的第一个元素就是答案，因此结果矩阵就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.714ex" height="2.477ex" role="img" focusable="false" viewBox="0 -845 6061.4 1095"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1862.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2251.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(3287.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(3732.5,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(5672.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。又因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="16.905ex" height="1.79ex" role="img" focusable="false" viewBox="0 -583 7472.2 791"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1314,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(2369.8,0)"><g 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573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g></svg></mjx-container></span>，并且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="16.905ex" height="1.79ex" role="img" focusable="false" viewBox="0 -583 7472.2 791"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 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data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。我们还需要保证初始矩阵在经历一轮变换前后，始终都是同型的，这里是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的矩阵，操作后也应该是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的矩阵。于是我们的递推矩阵应该是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>矩阵。不妨将递推矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>的每一行从上至下分别表示为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="1.468ex" role="img" focusable="false" viewBox="0 -441 1939.9 649"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="1.468ex" role="img" focusable="false" viewBox="0 -441 1939.9 649"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g></svg></mjx-container></span>的系数，由以上二式可得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="12.246ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 5412.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1328.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2384.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="3F" d="M226 668Q190 668 162 656T124 632L114 621Q116 621 119 620T130 616T145 607T157 591T162 567Q162 544 147 529T109 514T71 528T55 566Q55 625 100 661T199 704Q201 704 210 704T224 705H228Q281 705 320 692T378 656T407 612T416 567Q416 503 361 462Q267 395 247 303Q242 279 242 241V224Q242 205 239 202T222 198T205 201T202 218V249Q204 320 220 371T255 445T292 491T315 537Q317 546 317 574V587Q317 604 315 615T304 640T277 661T226 668ZM162 61Q162 89 180 105T224 121Q247 119 264 104T281 61Q281 31 264 16T222 1Q197 1 180 16T162 61Z"></path></g></g><g data-mml-node="mtd" transform="translate(1472,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="3F" d="M226 668Q190 668 162 656T124 632L114 621Q116 621 119 620T130 616T145 607T157 591T162 567Q162 544 147 529T109 514T71 528T55 566Q55 625 100 661T199 704Q201 704 210 704T224 705H228Q281 705 320 692T378 656T407 612T416 567Q416 503 361 462Q267 395 247 303Q242 279 242 241V224Q242 205 239 202T222 198T205 201T202 218V249Q204 320 220 371T255 445T292 491T315 537Q317 546 317 574V587Q317 604 315 615T304 640T277 661T226 668ZM162 61Q162 89 180 105T224 121Q247 119 264 104T281 61Q281 31 264 16T222 1Q197 1 180 16T162 61Z"></path></g></g><g data-mml-node="mtd" transform="translate(1472,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2500,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。别急，左边还有一列未填满——我们希望每次操作都会把矩阵元素整体向左移一个位置，就好像一个滑动窗口（但不是单调队列），我们的第一列也可以求出来了。最终就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="12.309ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 5440.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1328.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2384.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2528,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span></p>
+<p>那么求数列第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>项——每次右乘<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>都相当于多求出一项，并且当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>只被乘了一次时，结果矩阵的第一个元素是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.185ex" height="1.337ex" role="img" focusable="false" viewBox="0 -441 965.6 591"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>。因此要让第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>项来到第一个位置，我们需要进行<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>次乘法，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.344ex" height="1.355ex" role="img" focusable="false" viewBox="0 -441 1036.3 598.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>也就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="7.389ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 3266 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(750,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1138,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>的第一行第一列元素。可以写出如下代码：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">MOD</span> <span class="token expression"><span class="token number">1000000007</span></span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">15</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> n <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> <span class="token comment">// 递推矩阵行列数均为2 </span>
+
+<span class="token keyword">struct</span> <span class="token class-name">Matrix</span> <span class="token punctuation">{</span>
+	ll mat<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	
+	<span class="token function">Matrix</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token function">memset</span><span class="token punctuation">(</span>mat<span class="token punctuation">,</span> <span class="token number">0.0</span><span class="token punctuation">,</span> <span class="token keyword">sizeof</span> mat<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 初始化时内部变量自动置零，无需每次定义变量时再置零 </span>
+	<span class="token punctuation">}</span>
+	
+	<span class="token keyword">void</span> <span class="token function">I</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> <span class="token comment">// 构造2×2单位矩阵 </span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span class="token punctuation">;</span> 
+
+Matrix <span class="token keyword">operator</span> <span class="token operator">*</span><span class="token punctuation">(</span><span class="token keyword">const</span> Matrix <span class="token operator">&amp;</span>l<span class="token punctuation">,</span> <span class="token keyword">const</span> Matrix <span class="token operator">&amp;</span>r<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// 重载乘法运算符，实现矩阵乘法 </span>
+	Matrix res<span class="token punctuation">;</span>	
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> k <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> k <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> k<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token comment">// res.mat[i][j] = (res.mat[i][j] + l.mat[i][k] * r.mat[k][j] % MOD) % MOD; // 取模用这个 </span>
+				res<span class="token punctuation">.</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">+=</span> l<span class="token punctuation">.</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>k<span class="token punctuation">]</span> <span class="token operator">*</span> r<span class="token punctuation">.</span>mat<span class="token punctuation">[</span>k<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+Matrix <span class="token function">qpow</span><span class="token punctuation">(</span>Matrix a<span class="token punctuation">,</span> ll b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	Matrix res<span class="token punctuation">;</span>
+	res<span class="token punctuation">.</span><span class="token function">I</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>b <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> res <span class="token operator">*</span> a<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> a <span class="token operator">*</span> a<span class="token punctuation">;</span>
+		b <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> a<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>a<span class="token punctuation">;</span>
+	
+	Matrix A<span class="token punctuation">;</span>
+	A<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">=</span> A<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">2</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> <span class="token comment">// 初始矩阵 </span>
+	Matrix M<span class="token punctuation">;</span>
+	M<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">2</span><span class="token punctuation">]</span> <span class="token operator">=</span> M<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">2</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">2</span><span class="token punctuation">]</span> <span class="token operator">=</span> M<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">2</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> <span class="token comment">// 递推矩阵 </span>
+	A <span class="token operator">=</span> A <span class="token operator">*</span> <span class="token function">qpow</span><span class="token punctuation">(</span>M<span class="token punctuation">,</span> a <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cout<span class="token operator">&lt;&lt;</span>A<span class="token punctuation">.</span>mat<span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>它的时间复杂度可以做到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.145ex" height="2.451ex" role="img" focusable="false" viewBox="0 -833.2 4925.9 1083.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(633,363) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mi" transform="translate(2388.2,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3666.2,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3832.9,0)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g data-mml-node="mo" transform="translate(4536.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>是递推矩阵长/宽，这里是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>；<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.593ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 704 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>是幂指数。因此这里的时间复杂度是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="14.815ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6548.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1185,0)"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g><g data-mml-node="mi" transform="translate(1851.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3129.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mo" transform="translate(3129.7,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3518.7,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(4269.9,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(5270.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(5770.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6159.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，比朴素斐波那契递推的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.771ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 3434.7 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="TeXAtom" transform="translate(533,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3045.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>强了不少！</p>
+<hr>
+<p><strong>例2.2.1 Lost Control! Blubberbeast's Reproduction
+膨膨兽泛滥危机</strong></p>
+<blockquote>
+<p>由于枫丹水质的大幅改善，膨膨兽的天敌数量锐减，枫丹城区近海的膨膨兽也得到了更多的食物，进而开始大量地繁殖。水质改善的第一年，已登记的膨膨兽数量是6765头，恰好是斐波那契数列的第20项。第二年，膨膨兽数量没有变化，之后的每一年，膨膨兽数量都是前两年之和的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.127ex;" xmlns="http://www.w3.org/2000/svg" width="4.147ex" height="1.824ex" role="img" focusable="false" viewBox="0 -750 1833 806"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g></g></g></svg></mjx-container></span>，已知膨膨兽的平均寿命是15年、枫丹廷近海能承载的最大膨膨兽数量是90万只。那么请问15年后近海的膨膨兽数量是多少？这15年内枫丹廷是否需要向近海投放膨膨兽的天敌以遏制后者疯狂繁殖？（结果出现出现小数则向上取整）</p>
+</blockquote>
+<p><em>问题分析</em>：这是一道标准的矩阵快速幂递推问题，它基于斐波那契数列递推、却比它更高级。首先，它的初始值不再是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>而是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.816ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(500,0)"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(1000,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1500,0)"></path></g><g data-mml-node="mo" transform="translate(2389,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(2833.7,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(500,0)"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(1000,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1500,0)"></path></g><g data-mml-node="mo" transform="translate(4833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，其次，从第三项起，每一项都是前两项和的一个倍数，这里是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1778 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>。那我们怎么构造递推矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>来解决问题呢？</p>
+<p><em>算法设计</em>： 已知初始矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.53ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7306.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2083.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(2472.6,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(500,0)"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(1000,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1500,0)"></path></g><g data-mml-node="mo" transform="translate(4472.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(4917.2,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(500,0)"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(1000,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1500,0)"></path></g><g data-mml-node="mo" transform="translate(6917.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。根据题目描述很容易写出通项公式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="37.936ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 16767.7 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 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24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(14397.9,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。我们要保证初始矩阵经过一次递推后，得到的新矩阵与初始矩阵同型，因此根据矩阵乘法定义，我们的递推矩阵必须是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>矩阵。于是拿出祖传单位矩阵模板<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="11.071ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 4893.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(781.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1837.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2528,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>开始构造递推矩阵！</p>
+<p>对于前项和的问题，前面已经给出了，因而我们的递推矩阵变成了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="12.309ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 5440.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1328.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2384.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2528,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>；接下来解决倍数问题——根据通项公式，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="1.468ex" role="img" focusable="false" viewBox="0 -441 1939.9 649"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="1.468ex" role="img" focusable="false" viewBox="0 -441 1939.9 649"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g></svg></mjx-container></span>的系数都是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1778 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>，我们构造递推矩阵时也要考虑到这一点，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="5.506ex" height="1.597ex" role="img" focusable="false" viewBox="0 -666 2433.6 706"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>时，递推公式展开如下：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="50.907ex" height="1.977ex" role="img" focusable="false" viewBox="0 -666 22501 874"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1314,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2369.8,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" 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26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>的系数、第二行代表<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="4.389ex" height="1.468ex" role="img" focusable="false" viewBox="0 -441 1939.9 649"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g></svg></mjx-container></span>的系数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1778 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>，第二列显然应该同时乘以0.85，左边一列的作用是使原矩阵整体向左移一个位置。最后我们的递推矩阵就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="15.2ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 6718.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1328.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2384.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3806,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。直接将初始矩阵右端乘以递推矩阵的幂次方就可以了。注意因为初始矩阵的右侧是第二年的膨膨兽个数，乘以递推矩阵本身（一次方），会让第二年的膨膨兽个数移到结果矩阵的前端，要想让第一项变成第15年的个数，递推矩阵的幂必须是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 1000 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.159ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2722.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>代码实现上，仅需将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>矩阵和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>矩阵的初始值改变就可以了。</p>
+<p>最终结果：<code>875076</code>。结果小于90万，因此不需要投放天敌。</p>
+<p><em>后日谈</em>：那如果将系数改变为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1778 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(778,0)"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>呢？输出的结果将是<code>977427</code>，接近100万了。因此但凡枫丹水质再好那么一点点，使得这个系数升高了0.1，那么枫丹廷说不定都会变成膨膨兽的第二家园了！</p>
+<hr>
+<p><strong>洛谷例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3390">P3390 [模板]
+矩阵快速幂</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1962">P1962
+斐波那契数列</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1349">P1349
+广义斐波那契数列</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1939">P1939
+矩阵加速（数列）</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3216">P3216 [HNOI2011]
+数学作业</a></li>
+</ol>
+<hr>
+<h3 id="第三章-矩阵的逆">第三章 矩阵的逆</h3>
+<h4 id="第一节-浅谈矩阵的逆">第一节 浅谈矩阵的“逆”</h4>
+<p>“逆”这个词相信你早已听说过：同余意义下存在乘法逆元，大多数矩阵也存在逆矩阵。“逆”普遍用来描述不同意义下的“倒数”的概念，倒数一般满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.409ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4600.7 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msup" transform="translate(1251.4,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3044.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4100.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的性质，即本体×本体的逆=单位一。矩阵中的“单位一”是单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，也因此我们的逆矩阵需要满足这个式子：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.783ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4324.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(750,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2764.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3820.2,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，并且这个式子倒过来也必须成立（为数不多的满足矩阵乘法交换律的情况之一）。</p>
+<p>如果对于一个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，存在另一个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，使得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="14.003ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 6189.1 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1786.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2842.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(3601.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(4629.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(5685.1,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>成立。则称矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>是<strong>可逆的</strong>，或称之为<strong>非奇异的</strong>，矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>是矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的<strong>逆矩阵</strong>，通常表示成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。特殊地，<strong>单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>的逆矩阵是它本身</strong>，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.703ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 5172.9 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mi" transform="translate(504,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(1285.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2341.6,0)"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mn" transform="translate(590.2,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(3613.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4668.9,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>；<strong>零矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.726ex" height="1.643ex" role="img" focusable="false" viewBox="0 -704 763 726"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g></g></g></svg></mjx-container></span>不可逆</strong>，或称之为<strong>奇异的</strong>，即不可能存在矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="14.061ex" height="1.778ex" role="img" focusable="false" viewBox="0 -704 6215.1 786"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g><g data-mml-node="mi" transform="translate(763,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1799.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2855.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(3614.6,0)"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g><g data-mml-node="mo" transform="translate(4655.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(5711.1,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>。类比实数运算，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的倒数永远是它本身、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>没有倒数，因为分母为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，没有意义；<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="20.742ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 9168 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3278.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4334,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(5834.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(6834.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(7612.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(8668,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，同时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.272ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4098.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1555.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2611.6,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="TeXAtom" transform="translate(533,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="第二节-行列式">第二节 行列式</h4>
+<p>行列式是一种函数，写出来有点像矩阵的绝对值。它可以用来判断一个矩阵是否有解、也可以定量分析线性变换对原向量的影响。矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的行列式通常用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.6ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2917 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>或者是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="2.955ex" height="2.26ex" role="img" focusable="false" viewBox="0 -749.5 1306 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(278,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>表示。这一节主要介绍行列式判断矩阵是否可逆。</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="15.334ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 6777.8 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 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transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g></g></g><g data-mml-node="mo" transform="translate(4166.2,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>的行列式为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="24.32ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 10749.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3194.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(4250.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="msub" transform="translate(5569.7,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(7111,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msub" transform="translate(8111.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="msub" transform="translate(9430.3,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g></g></svg></mjx-container></span>。特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>矩阵的行列式就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.984ex" height="1.337ex" role="img" focusable="false" viewBox="0 -441 1319.1 591"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g></g></svg></mjx-container></span>的值。当一个矩阵的行列式为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>时，它是奇异的、也就是不可逆的；反之则非奇异/可逆。</p>
+<p>那我们在上边只提到了两种方阵，那对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 2222.4 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的方阵又该怎么办呢？答案是分而治之——分治！</p>
+<h4 id="第三节-代数余子式">第三节 代数余子式</h4>
+<p>我们拿出祖传的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="15.651ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6917.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(2083.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4167,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g></g></g></svg></mjx-container></span>，我们随机在其中挑选一位受害者。我个人看第二行第一列的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>元素不太顺眼，作为矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的定义者，我有权利将它变成自己所喜欢的样子，因此我把元素<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.984ex" height="1.337ex" role="img" focusable="false" viewBox="0 -441 1319.1 591"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g></g></svg></mjx-container></span>拿掉。可是拿掉以后它还是个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>！于是我将它所在的那一行以及那一列全部剔除，把剩下的元素按照原来的相对顺序靠拢，组成一个新的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="11.648ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 5148.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 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d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2528,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。现在整个矩阵没有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>元素了，看上去清爽多了~~~</p>
+<p>像上边这样，将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>阶行列式中元素<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="2.596ex" height="1.663ex" role="img" focusable="false" viewBox="0 -441 1147.3 735.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="19.764ex" height="1.968ex" role="img" focusable="false" viewBox="0 -666 8735.9 870"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(777.8,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(1833.6,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 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305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4112.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(4556.8,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(5334.6,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(6390.3,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(7080.1,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(8135.9,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>）所在的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行、第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>列所有元素删去，剩下元素组成的新<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>阶行列式叫做原行列式的<strong>余子式</strong>，用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="3.593ex" height="2.211ex" role="img" focusable="false" viewBox="0 -683 1588.3 977.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1003,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>表示，代表它是删去原矩阵第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行和第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>列得到的余子式。它通常将一个高阶行列式拆分为一个个低阶行列式便于计算，这其中就是用到了分治（子问题递归）的思想。</p>
+<p>我们要计算整个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>矩阵的行列式，就需要拆开余子式。最终分治成多个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的矩阵求其行列式并加和起来。有一个定理：当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="5.506ex" height="1.819ex" role="img" focusable="false" viewBox="0 -666 2433.6 804"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>时，一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的方阵的行列式可以表示成任意行/列的余子式展开，即：</p>
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+<p>日常做题时，通常选取<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>最多的那一行/列进行展开以减少计算量。</p>
+<h4 id="第四节-矩阵的逆">第四节 矩阵的逆</h4>
+<p>第一节解释清楚了逆矩阵的概念，那么如何求逆矩阵呢？首先是前提——判断矩阵是否可逆！我们引入矩阵行等价的概念：</p>
+<p>如果一个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>能经过<strong>有限次初等行变换</strong>得到另一个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，则称<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>是<strong>行等价的</strong>。比如说你交换一个矩阵的两行（初等行变换第一条）得到的矩阵本质上还是原来的矩阵，因为如果当你把变换前后的矩阵拆分成一个个行向量，它们在坐标系上的关系不变（交换两行向量不变，同乘倍数向量共线<del>还挺押韵</del>）。联系到第二节的初等矩阵知识，初等行变换可以转化为矩阵左乘初等矩阵，定义可以转换为如下的数学语言：如果存在矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>和矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="20.626ex" height="1.994ex" role="img" focusable="false" viewBox="0 -716 9116.8 881.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(2092.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(3267.1,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(4441.7,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(5782.9,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(7121.5,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(771,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mi" transform="translate(8366.8,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>成立，则称<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>是行等价的；相应的，初等矩阵右乘就对应两个矩阵<strong>列等价</strong>。</p>
+<p>矩阵行等价有反身性、传递性。例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>行等价，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>行等价，则以下两条均成立：</p>
+<ol type="1">
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>行等价</li>
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>行等价</li>
+</ol>
+<p>相应的，若有方程组，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.979ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3084.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>。在等号两端同时乘一个符合乘法运算条件的矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>，新的方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.734ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 5186.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mi" transform="translate(1051,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(1801,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2650.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3706.6,0)"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mi" transform="translate(4757.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>与先前的方程的解相同。第二个方程与第一个方程就是一组<strong>等价方程组</strong>。</p>
+<p>当且仅当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.979ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3084.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.008ex" height="1.731ex" role="img" focusable="false" viewBox="0 -683 3097.6 765"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(759,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1608.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2664.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>是等价方程组时，增广矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.313ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2790.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1416.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1972.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2401.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.343ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2803.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1425.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1981.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(2414.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>行等价。这个推论的证明需要用到一个定理：<strong>若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>为一个初等矩阵，则它是非奇异的，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.077ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1802 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(848.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>是同类型矩阵</strong>。</p>
+<hr>
+<p><strong>证明</strong>：根据初等矩阵的定义，它是由单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>经过单次初等行变换而来。根据行变换类型的不同，分为三种情况讨论：</p>
+<p>第一种，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>为第I类初等矩阵。假设它由单位矩阵交换第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>和第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行而来，左乘同样的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>矩阵，进行相应行运算——右边的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>矩阵将交换<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="2.719ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 1201.7 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(789.7,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>原本就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>交换<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="2.719ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 1201.7 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(789.7,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行得来的。因此左乘后原式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.003ex" height="1.731ex" role="img" focusable="false" viewBox="0 -683 4421.3 765"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1055.8,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(1819.8,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(2861.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3917.3,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，根据逆矩阵的定义：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>的逆矩阵就是它本身，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.822ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 3899.5 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(848.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2079.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3135.5,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>，因此二者同类型，都是第I类初等矩阵。</p>
+<p>第二种，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>为第II类初等矩阵。假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行乘一个非零数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.448ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 640 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g></g></g></svg></mjx-container></span>而来，构造新的初等矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.472ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1092.8 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>，若想使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.358ex" height="1.903ex" role="img" focusable="false" viewBox="0 -759 3694.3 841"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mi" transform="translate(1092.8,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(2134.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3190.3,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，用于进行行运算的左矩阵必须要让第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行乘上<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="2.019ex" height="2.755ex" role="img" focusable="false" viewBox="0 -864.9 892.5 1217.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mn" transform="translate(269.5,394) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><rect width="652.5" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>回到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.472ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1092.8 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行同乘以非零数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="2.019ex" height="2.755ex" role="img" focusable="false" viewBox="0 -864.9 892.5 1217.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mn" transform="translate(269.5,394) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><rect width="652.5" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.358ex" height="1.903ex" role="img" focusable="false" viewBox="0 -759 3694.3 841"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mi" transform="translate(1092.8,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(2134.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3190.3,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>。因此二者都是第II类初等矩阵。</p>
+<p>第三种，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>为第III类初等矩阵，且是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行加上第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.272ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4098.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(965.7,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1354.7,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2153.4,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mn" transform="translate(3209.2,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(3709.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>倍得到的。因此构造初等矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.472ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1092.8 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>，作为左矩阵，它的效果是让右矩阵的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行减去<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>倍第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行，因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.566ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4228.3 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(848.3,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1370.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2426.3,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(848.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>，且是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>将第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行乘<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="2.939ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 1299 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(778,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>加到第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行得到的。二者同为第III类初等矩阵。</p>
+<p>定理得证。</p>
+<hr>
+<p>两个非奇异矩阵等价的条件是：假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>为一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的方阵，所以下面三条命题等价：</p>
+<ol type="1">
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>是非奇异的</li>
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.139ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3155.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2655.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>只有平凡解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span></li>
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>行等价</li>
+</ol>
+<p>在矩阵运算中，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.139ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3155.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2655.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>的零解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.442ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2405.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>就是这个方程的一个<strong>平凡解</strong>。<del>（因为实在是太显而易见了所以很平凡）</del></p>
+<hr>
+<p><strong>证明</strong>：首先证第一条可以导出第二条。假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>为非奇异方阵，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.07ex" height="1.903ex" role="img" focusable="false" viewBox="0 -759 2683 841"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1127.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2183,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>是方程的一个解。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="32.651ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 14431.8 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1127.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2183,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="msup" transform="translate(2687,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(3814.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4870,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5259,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(6009,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(7745.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="msup" transform="translate(8134.7,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(9261.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(10317.7,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(12054.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(12443.4,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(13193.4,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(14042.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.922ex" height="1.742ex" role="img" focusable="false" viewBox="0 -759 849.5 770"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.139ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3155.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2655.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>的一个解，因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.767ex" height="1.903ex" role="img" focusable="false" viewBox="0 -759 3433 841"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(750,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1877.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2933,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，原式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="25.557ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 11296.2 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1055.8,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2792.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3181.5,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(3931.5,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(4780.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(5447.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(6503.5,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(8462.4,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mn" transform="translate(8962.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(9740.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(10796.2,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。因而原方程仅有平凡解。</p>
+<p>再证第二条可以导出第三条。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>可以化简成行阶梯形矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>，方程变为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.178ex" height="1.731ex" role="img" focusable="false" viewBox="0 -683 3172.6 765"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g><g data-mml-node="mi" transform="translate(767,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1616.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2672.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。因为严格三角形矩阵可以通过变换得到单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，所以需要证明<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>是否是严格三角形矩阵。如果<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>的主对角线出现了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，那肯定不是严格三角形矩阵。因为阶梯形矩阵要保证每一行都比它的上一行前边的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>元素多，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>是方阵，到最后一行时只能全部为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。此时矩阵有无数组解，因为实际上他只列出了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>个方程，最后一行的方程不被计入系数矩阵和增广矩阵的秩，导致<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。因此有无数组解；反之若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>的主对角线全不为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，它可以被化简成单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>（使用高斯消元即可）。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>行等价、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>行等价，传递得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>行等价。</p>
+<p>最后证第三条可以导出第一条。根据行等价的定义，必有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="24.658ex" height="2.09ex" role="img" focusable="false" viewBox="0 -716 10899 924"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(781.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(1837.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(3012.1,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(4186.7,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(5527.9,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(6866.5,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 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670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(16754.6,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(18093.2,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(19267.8,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>证毕</p>
+<hr>
+<p>根据第三条，我们就可以知道一个求逆矩阵的方法了：既然<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="24.658ex" height="2.09ex" role="img" focusable="false" viewBox="0 -716 10899 924"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(781.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(1837.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(3012.1,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(4186.7,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(5527.9,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(6866.5,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msub" transform="translate(8959.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="mi" transform="translate(10149,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，我们给等号两端同时乘一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="26.891ex" height="2.357ex" role="img" focusable="false" viewBox="0 -833.9 11885.7 1041.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2014.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(3070.2,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(4244.8,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(5419.3,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(6760.6,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(8099.2,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msub" transform="translate(10192.3,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="mi" transform="translate(11381.7,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>又与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>行等价。前两个方程是一对等价方程，我们换元，假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="23.115ex" height="2.009ex" role="img" focusable="false" viewBox="0 -680 10217 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(3080.1,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="msub" transform="translate(4254.7,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(5595.9,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(6934.5,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1299,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msub" transform="translate(9027.6,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="TeXAtom" transform="translate(771,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></g></svg></mjx-container></span>，两个方程如下：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="11.077ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 4896.2 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,642)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(781.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1837.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(2409.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-642)"><g data-mml-node="mtd"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2014.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3070.2,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(3642.2,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4896.2,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。因此增广矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.226ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2310 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1139,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1417,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(1921,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>可以被化简为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.459ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 3296.7 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(893,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="msup" transform="translate(1171,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2907.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。我们只需高斯消元将分隔线左侧化成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>，右侧自然就是逆矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>了。</p>
+<hr>
+<p><strong>例3.4.1 How Aranaras Measure Timeflow
+兰那罗的时间观念</strong></p>
+<blockquote>
+<p>你在须弥冒险时，遇到了森林可爱的孩子们——兰那罗。这些小小的生物有着与世无争的纯净心灵、以及大大的胸怀。你们一同冒险，击败了桓那兰那故土的污秽化身，拯救了须弥森林。然而，在和兰那罗对话期间，除开他们奇妙的比喻之外，还有一件事情是你久久无法忘怀的——他们的时间单位。你听过最多的是“种子长成大树”、“太阳升起又落下”、“落落梅从出生到长大”、“大树长成雨林”……</p>
+<p>假如你们经过很长一段时间的交谈，你渐渐明确了各种时间描述词之间的数学关系，关系如下表。请你求出每个描述词所对应的时间间隔</p>
+</blockquote>
+<p>已知大树长成雨林的时间是种子长成大树的50倍；树木从种子长成大树的期间，落落莓已经生长过整整15次了（由种子出生到果实成熟和从成熟到下一颗种子扎根生长的时间相同）；兰那罗从种子长成大树期间，普通人已从黑发少年变为白发苍苍的老人了；普通人从青年到老年的时间足够让三颗种子先后成长为大树；一片树木生长成为雨林，不仅足够让<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>个人先后从少年变为老年，而且还需要额外的60年时间完全长成一片健康的雨林。请问“大树长成雨林”、“树木从种子长成大树”、“兰那罗从种子变成大树”、“落落莓从扎根到成熟”以及“普通人从少年到老年”所经过的时间各是多少年？（四舍五入到最近整数，单位：年）</p>
+<p><em>问题分析</em>：既然各个描述词对应时长的倍数关系都已给出，我们可以两两列出方程组求解。这里我们用到矩阵的逆来方便求出方程的解。</p>
+<p><em>算法设计</em>：首先将各个描述词用未知数表示出来，再用数学关系表示出题干中各个描述词的关系，如此得到的5个方程恰好能使矩阵有唯一解。因为一般的方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.979ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3084.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>可以写成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.211ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4071.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mi" transform="translate(3642.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>的形式，所以求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的逆矩阵，再对常数项组成的列向量进行左乘即可。</p>
+<p><em>解</em>：设“大树长成雨林”、“树木从种子长成大树”、“兰那罗从种子变成大树”、“落落莓从扎根到成熟”以及“普通人从少年到老年”的时间分别为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="15.433ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 6821.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1008.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1453.2,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2461.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(2906.4,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(3915,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(4359.7,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(5368.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(5812.9,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></svg></mjx-container></span>年。根据题干描述。可以得到如下关系：</p>
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304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,6.3)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,2400)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 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433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mo" transform="translate(7462.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>整理得：</p>
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392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-2800)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(1675.6,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,2396)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-2406)"></path><svg width="667" height="3202" y="-1351" x="0" viewBox="0 800.5 667 3202"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,7.978)"></path></svg></g></g></g></g></svg></mjx-container></span>。对应方程为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.979ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3084.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>两侧同时乘以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.211ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4071.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mi" transform="translate(3642.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>。根据逆矩阵求法，初始矩阵为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -6.9ex;" xmlns="http://www.w3.org/2000/svg" width="50.008ex" height="14.932ex" role="img" focusable="false" viewBox="0 -3550 22103.6 6600"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1139,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1417,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(1921,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2587.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(3643.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,2396)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-2406)"></path><svg width="667" height="3202" y="-1351" x="0" viewBox="0 800.5 667 3202"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,7.978)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,2800)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g><g data-mml-node="mtd" transform="translate(4278,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(6028,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(8417,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(10626,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(12126,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(13626,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(15126,0)"><g data-mml-node="mn"><path 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48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="10091" y1="-3050" x2="10091" y2="3550"></line></g><g data-mml-node="mo" transform="translate(17793,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,2396)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-2406)"></path><svg width="667" height="3202" y="-1351" x="0" viewBox="0 800.5 667 3202"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,7.978)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>高斯消元后，将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.226ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2310 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1139,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1417,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(1921,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>消成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.459ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 3296.7 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(893,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="msup" transform="translate(1171,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2907.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>形式，得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -7.164ex;" xmlns="http://www.w3.org/2000/svg" width="54.333ex" height="15.46ex" role="img" focusable="false" viewBox="0 -3666.6 24015.3 6833.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g><g data-mml-node="mo" transform="translate(893,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="msup" transform="translate(1171,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2907.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3574.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(4630.2,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,2512.6)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-2522.6)"></path><svg width="667" height="3435.3" y="-1467.6" x="0" viewBox="0 858.8 667 3435.3"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,8.56)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,2916.6)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(4500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(6000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(7709,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" transform="translate(500,0)"></path></g></g><g data-mml-node="mtd" transform="translate(10949.6,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(12773.1,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(14273.1,0)"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1000,0)"></path></g></g><g data-mml-node="mtd" transform="translate(16912.1,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 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201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g></g></g></g><g data-mml-node="mo" transform="translate(11148.1,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,2512.6)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-2522.6)"></path><svg width="667" height="3435.3" y="-1467.6" x="0" viewBox="0 858.8 667 3435.3"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,8.56)"></path></svg></g></g></g></g></svg></mjx-container></span>。</p>
+<p>根据方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.979ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3084.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.211ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4071.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mi" transform="translate(3642.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -7.164ex;" xmlns="http://www.w3.org/2000/svg" width="65.882ex" height="15.46ex" role="img" focusable="false" viewBox="0 -3666.6 29120 6833.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1905.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,2396)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-2406)"></path><svg width="667" height="3202" y="-1351" x="0" viewBox="0 800.5 667 3202"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,7.978)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,2800)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,0)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-2800)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(1675.6,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,2396)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-2406)"></path><svg width="667" height="3202" y="-1351" x="0" viewBox="0 800.5 667 3202"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,7.978)"></path></svg></g></g><g data-mml-node="mo" transform="translate(4525.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(5581.7,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mi" transform="translate(7318.3,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(8025.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(9080.9,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,2512.6)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-2522.6)"></path><svg width="667" height="3435.3" y="-1467.6" x="0" viewBox="0 858.8 667 3435.3"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,8.56)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,2916.6)"><g data-mml-node="mtd" transform="translate(139,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 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675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-2400)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5231.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>因此，“大树长成雨林”的时间是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.525ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 2000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1000,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1500,0)"></path></g></g></g></svg></mjx-container></span>年、“树木从种子长成大树”需要<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>年、“兰那罗从种子变成大树”需要<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>年、“落落莓从扎根到成熟”需要<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>年、“普通人从少年到老年”需要<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>年。</p>
+<p><em>最后，森林会记住一切。</em></p>
+<h4 id="第五节-行列式的性质">第五节 行列式的性质</h4>
+<p><del>感谢初等矩阵的加持，我们需要记背的知识点又多了不少呢……</del></p>
+<p>我们在第三节说了，用余子式计算矩阵行列式时，需要按照同一列或者是同一行展开。为什么不能沿对角线或者是其他花里胡哨的顺序算余子式呢？下面有个引理告诉你原因：</p>
+<p><strong>设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的方阵，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="3.593ex" height="2.211ex" role="img" focusable="false" viewBox="0 -683 1588.3 977.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1003,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.666ex;" xmlns="http://www.w3.org/2000/svg" width="2.596ex" height="1.663ex" role="img" focusable="false" viewBox="0 -441 1147.3 735.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>的代数余子式，则：</strong></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="49.308ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 21794 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(345,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msub" transform="translate(1209.5,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 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46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="msub" transform="translate(5339.3,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="TeXAtom" transform="translate(1003,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 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442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msub" transform="translate(11934.3,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 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636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g><g data-mml-node="mtd" transform="translate(3917,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1678.6,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 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278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(6757.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>不难发现，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="4.73ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 2090.6 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1678.6,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>的情况就是沿同一列的余子式展开。假如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="8.878ex" height="1.968ex" role="img" focusable="false" viewBox="0 -666 3924.1 870"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1678.6,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(2368.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3424.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，原式就是沿第一行、从第一列到第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>列元素的余子式之和。而这恰好是一个矩阵的余子式展开（人家行列式就是这么算出来的，肯定是对的），因而结果等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.6ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2917 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="4.73ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 2090.6 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mi" transform="translate(1678.6,0)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>时，就是上边说的花里胡哨的展开。为了证明它，我们假设一个新的矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.325ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1027.5 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>。它的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>行被替换成原<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>矩阵的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>行，这样的话这个余子式展开就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.325ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1027.5 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>的正确的余子式展开，也就是说它的结果等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.227ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 3194.5 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1778,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(2805.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。然而<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.325ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1027.5 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>有两行是相同的，也就是说它不可逆（最简阶梯形的最后一行全为0），因而<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.376ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 5028 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1778,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(2805.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3472.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4528,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，结果也就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>假如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.065ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4890.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3194.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4250.6,0)"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g></g></g></svg></mjx-container></span>，那如果有一个初等矩阵左乘它进行行变换，乘积的行列式是否也等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.448ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 640 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g></g></g></svg></mjx-container></span>呢？接下来就来探究这个问题：</p>
+<p>假如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="2.657ex" height="1.878ex" role="img" focusable="false" viewBox="0 -680 1174.6 830"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>为一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的第I类初等矩阵，且是单位矩阵交换第一、二行得来的。假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.459ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2083.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2472.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(3791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>为一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的方阵。那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="17.992ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 7952.3 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mi" transform="translate(1174.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2202.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(3258.1,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g></g></g><g data-mml-node="mo" transform="translate(4166.2,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="26.977ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 11924 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(1778,0)"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mi" transform="translate(2952.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(3702.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4369.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(5425.1,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="msub" transform="translate(6744.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(8285.5,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msub" transform="translate(9285.8,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="msub" transform="translate(10604.9,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></g></g></svg></mjx-container></span>，而<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="38.731ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 17119.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2528,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 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d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(11027.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 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48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mn" transform="translate(771,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 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749Z"></path></g></g></g></svg></mjx-container></span>，所以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="21.011ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 9286.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 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-167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(8147.8,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(8897.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>推广到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵，假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 2222.4 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>方阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.325ex" height="1.717ex" role="img" focusable="false" viewBox="0 -759 1027.5 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>交换一、三行得来的。那么按照第二行展开余子式就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="56.835ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 25120.9 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1778,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(2805.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3472.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4528,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msub" transform="translate(5306,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mrow" transform="translate(6791.8,0)"><g data-mml-node="mo"><svg width="278" height="2400" y="-950" x="27.5" viewBox="0 -297.3 278 2400"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z" transform="scale(1,3.604)"></path></svg></g><g data-mml-node="mtable" transform="translate(333,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" transform="translate(500,0)"></path></g></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(2319.1,0)"><g 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383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g></g></g><g data-mml-node="mo" transform="translate(3971.2,0)"><svg width="278" height="2400" y="-950" x="27.5" viewBox="0 -297.3 278 2400"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z" transform="scale(1,3.604)"></path></svg></g></g></g></g></svg></mjx-container></span>。</p>
+<p>根据<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 2222.4 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>矩阵行列式的性质有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="66.828ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 29538.1 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1778,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 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2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(29149.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>因此对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.481ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2422.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的方阵，交换其中两行对行列式的影响是改变其符号。其余两类矩阵自行证明，总规律如下：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="24.953ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 11029.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z" transform="translate(1000,0)"></path></g><g data-mml-node="mo" transform="translate(1389,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1778,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(2542,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(3292,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3958.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(5014.6,0)"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z"></path><path data-c="65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z" transform="translate(556,0)"></path><path data-c="74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 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669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(7556.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(8112.2,0)"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 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750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="43.414ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 19189.1 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 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0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mtext"><path data-c="45" d="M128 619Q121 626 117 628T101 631T58 634H25V680H597V676Q599 670 611 560T625 444V440H585V444Q584 447 582 465Q578 500 570 526T553 571T528 601T498 619T457 629T411 633T353 634Q266 634 251 633T233 622Q233 622 233 621Q232 619 232 497V376H286Q359 378 377 385Q413 401 416 469Q416 471 416 473V493H456V213H416V233Q415 268 408 288T383 317T349 328T297 330Q290 330 286 330H232V196V114Q232 57 237 52Q243 47 289 47H340H391Q428 47 452 50T505 62T552 92T584 146Q594 172 599 200T607 247T612 270V273H652V270Q651 267 632 137T610 3V0H25V46H58Q100 47 109 49T128 61V619Z"></path><text data-variant="normal" transform="translate(681,0) scale(1,-1)" font-size="884px" font-family="serif">是</text><text data-variant="normal" transform="translate(1681,0) scale(1,-1)" font-size="884px" font-family="serif">第</text><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 180 680T328 683H339V637H317Q268 637 254 634T234 623Q232 620 232 342Q232 63 234 60Q238 55 242 53T264 48T317 46H339V0H328Z" transform="translate(2681,0)"></path><text data-variant="normal" transform="translate(3042,0) scale(1,-1)" font-size="884px" font-family="serif">类</text><text data-variant="normal" transform="translate(4042,0) scale(1,-1)" font-size="884px" font-family="serif">初</text><text data-variant="normal" transform="translate(5042,0) scale(1,-1)" font-size="884px" font-family="serif">等</text><text data-variant="normal" transform="translate(6042,0) scale(1,-1)" font-size="884px" font-family="serif">矩</text><text data-variant="normal" transform="translate(7042,0) scale(1,-1)" font-size="884px" font-family="serif">阵</text></g></g></g><g data-mml-node="mtr" transform="translate(0,0)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 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473V493H456V213H416V233Q415 268 408 288T383 317T349 328T297 330Q290 330 286 330H232V196V114Q232 57 237 52Q243 47 289 47H340H391Q428 47 452 50T505 62T552 92T584 146Q594 172 599 200T607 247T612 270V273H652V270Q651 267 632 137T610 3V0H25V46H58Q100 47 109 49T128 61V619Z" transform="translate(1000,0)"></path><text data-variant="normal" transform="translate(1681,0) scale(1,-1)" font-size="884px" font-family="serif">是</text><text data-variant="normal" transform="translate(2681,0) scale(1,-1)" font-size="884px" font-family="serif">第</text><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 180 680T328 683H339V637H317Q268 637 254 634T234 623Q232 620 232 342Q232 63 234 60Q238 55 242 53T264 48T317 46H339V0H328Z" transform="translate(3681,0)"></path><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 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font-family="serif">第</text><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 180 680T328 683H339V637H317Q268 637 254 634T234 623Q232 620 232 342Q232 63 234 60Q238 55 242 53T264 48T317 46H339V0H328Z" transform="translate(2681,0)"></path><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 180 680T328 683H339V637H317Q268 637 254 634T234 623Q232 620 232 342Q232 63 234 60Q238 55 242 53T264 48T317 46H339V0H328Z" transform="translate(3042,0)"></path><path data-c="49" d="M328 0Q307 3 180 3T32 0H21V46H43Q92 46 106 49T126 60Q128 63 128 342Q128 620 126 623Q122 628 118 630T96 635T43 637H21V683H32Q53 680 180 680T328 683H339V637H317Q268 637 254 634T234 623Q232 620 232 342Q232 63 234 60Q238 55 242 53T264 48T317 46H339V0H328Z" transform="translate(3403,0)"></path><text data-variant="normal" transform="translate(3764,0) scale(1,-1)" font-size="884px" font-family="serif">类</text><text data-variant="normal" transform="translate(4764,0) scale(1,-1)" font-size="884px" font-family="serif">初</text><text data-variant="normal" transform="translate(5764,0) scale(1,-1)" font-size="884px" font-family="serif">等</text><text data-variant="normal" transform="translate(6764,0) scale(1,-1)" font-size="884px" font-family="serif">矩</text><text data-variant="normal" transform="translate(7764,0) scale(1,-1)" font-size="884px" font-family="serif">阵</text></g></g></g></g><g data-mml-node="mo" transform="translate(14924.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。</p>
+<hr>
+<p><strong>洛谷例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P7112">P7112 [模板]
+行列式求值</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4783">P4783 [模板]
+矩阵求逆</a></li>
+</ol>
+<hr>
+<h3 id="第四章-向量空间">第四章 向量空间</h3>
+<h4 id="第一节-欧几里得向量空间">第一节 欧几里得向量空间</h4>
+<p>简称<strong>欧氏空间</strong>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="2.865ex" height="1.593ex" role="img" focusable="false" viewBox="0 -683 1266.3 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>表示一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="9.553ex" height="2.016ex" role="img" focusable="false" viewBox="0 -683 4222.4 891"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1044.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1922.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(2867.2,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>维欧氏空间。我们在高中立体几何部分接触了向量在空间内的表示方法，一般来说它们都使用行向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.169ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2284.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(961,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1405.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1895.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示一个由原点指向<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.169ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2284.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(961,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1405.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1895.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的向量。线性代数中为了区分，大多数时候使用列向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="3.683ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 1628 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1100,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>来表示与上边相同的行向量。</p>
+<p>如果仅把<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="3.683ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 1628 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1100,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>描述成由原点指向<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.169ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2284.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(961,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1405.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1895.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的有向线段，显然是不太合理的。根据向量知识，一段由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>指向<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="12.963ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5729.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1183.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2183.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2683.4,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3128.1,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3840.3,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(4840.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(5340.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的有向线段也可以用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="3.683ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 1628 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1100,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>来表示。因此对于一个列向量，它可以在对应维度空间内画出无数个起点和终点各不相同的向量图像来。如果根据这个原理，列向量表示法就失去了唯一性……</p>
+<p>事实不然，我们发现，无论这个向量的起点如何变化，它们的方向（辐角）、长度（模长）相同，它们可以经过平移变换成同一个向量。只要确定以上这两项的值，一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维向量也就随之确定了。</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/aqos3o9y.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/aqos3o9y.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.097ex" height="1.027ex" role="img" focusable="false" viewBox="0 -443 485 454"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></svg></mjx-container></span>可以通过平移变为向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，这两个向量是相等的，都可以用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示）</p>
+<p>根据勾股定理可以计算出向量的长度，这叫做向量的<strong>模长</strong>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.383ex" height="2.477ex" role="img" focusable="false" viewBox="0 -845 4147.2 1095"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1862.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2251.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2823.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3268.2,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3758.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的模长一般写作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="2.455ex" height="2.476ex" role="img" focusable="false" viewBox="0 -845 1085 1094.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(278,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(807,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>，数值上等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.577ex;" xmlns="http://www.w3.org/2000/svg" width="9.451ex" height="2.851ex" role="img" focusable="false" viewBox="0 -1005 4177.6 1260"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(1020,0)"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,289) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1230.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 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y="885"></rect></g></g></g></svg></mjx-container></span>。若是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="2.865ex" height="1.593ex" role="img" focusable="false" viewBox="0 -683 1266.3 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 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196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(0,-24.2)"><path data-c="221A" d="M983 1739Q988 1750 1001 1750Q1008 1750 1013 1745T1020 1733Q1020 1726 742 244T460 -1241Q458 -1250 439 -1250H436Q424 -1250 424 -1248L410 -1166Q395 -1083 367 -920T312 -601L201 44L137 -83L111 -57L187 96L264 247Q265 246 369 -357Q470 -958 473 -963L727 384Q979 1729 983 1739Z"></path></g><rect width="2279.9" height="60" x="1020" y="1665.8"></rect></g></g></g></svg></mjx-container></span>。这些是我们高中时期就学习过的内容。</p>
+<p>高中数学教材在虚数那一章还有一个选学知识（2023版）——辐角。尽管它标成“选学”，其实我们早在三角函数的几何表示里就接触过辐角了：一个起点是原点的向量可以看作是它从<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>轴正半轴逆时针旋转<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.084ex" height="1.62ex" role="img" focusable="false" viewBox="0 -705 2247 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></g><g data-mml-node="mstyle" transform="translate(469,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(747,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1198,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(1727,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>得来的，这里的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.061ex" height="1.618ex" role="img" focusable="false" viewBox="0 -705 469 715"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></g></g></g></svg></mjx-container></span>就是向量的辐角。它很有用——是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.982ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 2202 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 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667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>算法中单位根操作的灵魂，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.982ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 2202 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(749,0)"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(1498,0)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>被广泛用于电子设备的自然信号处理，你桌面美化包里的频谱图的底层实现就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.982ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 2202 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(749,0)"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(1498,0)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>算法。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="4.982ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 2202 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(749,0)"><path data-c="1D439" d="M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1Z"></path></g><g data-mml-node="mi" transform="translate(1498,0)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></svg></mjx-container></span>讲解<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/blog/justpureh2o/oint-ad-pt1-fft">见此</a>。</p>
+<p>我们定义向量的数乘运算：<strong>辐角不变，模长相乘</strong>。图示：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/fzi28udh.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/fzi28udh.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="21.123ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 9336.3 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mo" transform="translate(762.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1818.6,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mi" transform="translate(2318.6,0)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3168.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4224.1,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mrow" transform="translate(4890.8,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g><g data-mml-node="mo" transform="translate(6724.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(7780.3,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>）</p>
+<p>我们定义向量的加法，参见高中物理合力与分力的知识。矢量（<strong>既有方向又有大小的量</strong>）的<strong>加法遵循平行四边形法则</strong>，平行四边形法则如下图：</p>
+<p><img src="https://pic1.zhimg.com/80/v2-e665f7c646f47874776e4004fabe1aac_720w.webp" class="lazyload" data-srcset="https://pic1.zhimg.com/80/v2-e665f7c646f47874776e4004fabe1aac_720w.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>即以要进行加法的两个共起点向量为平行四边形的相邻边，做出完整的平行四边形，它们的和向量的起点与前两个向量起点相同，终点是平行四边形的对角顶点。上图中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="16.183ex" height="2.717ex" role="img" focusable="false" viewBox="0 -1119 7153 1201"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1855.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2911.6,0)"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 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213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g><g data-mml-node="mo" transform="translate(755,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<p>和平行四边形法则等价的还有三角形法则：</p>
+<p><img src="https://pic4.zhimg.com/80/v2-d7ed882a52694e9f971f0b032522a94f_720w.webp" class="lazyload" data-srcset="https://pic4.zhimg.com/80/v2-d7ed882a52694e9f971f0b032522a94f_720w.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>即将其中一个向量的起点平移到另一个向量的终点处，和向量的起点是后者的起点，终点是前者的终点。上图中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="33.768ex" height="2.971ex" role="img" focusable="false" viewBox="0 -1119 14925.7 1313"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1855.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2911.6,0)"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g><g data-mml-node="mo" transform="translate(754.5,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 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422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mi" transform="translate(760,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(794,294) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 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709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>，注意向量的字母表示有先后顺序，因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.57ex" height="2.532ex" role="img" focusable="false" viewBox="0 -1119 1578 1119"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>不可颠倒变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.57ex" height="2.532ex" role="img" focusable="false" viewBox="0 -1119 1578 1119"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mi" transform="translate(828,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>，事实上<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.918ex" height="2.717ex" role="img" focusable="false" viewBox="0 -1119 5267.6 1201"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mi" transform="translate(828,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1855.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2911.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(3689.6,0)"><g data-mml-node="mover"><g data-mml-node="mrow"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g><g data-mml-node="mo" transform="translate(789,305) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<p>在向量表示中：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="37.855ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 16731.7 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1905.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 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transform="translate(523,-150) scale(0.707)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(1587.5,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g><g data-mml-node="mo" transform="translate(4021,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 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247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 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153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(9577.1,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(10577.3,0)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mo" transform="translate(11340.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(12395.9,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1281.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msub" transform="translate(2281.9,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(82,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1199.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msub" transform="translate(2199.9,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(3807.9,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。因此<strong>向量相加，坐标相加</strong>。</p>
+<p>减法则是<strong>坐标相减</strong>，将减数向量做反向同模长的反向量再进行加法运算即可。</p>
+<p>由于矩阵可以拆分成一个个列向量和行向量，而且矩阵的加法与数乘均与刚刚介绍的向量的加法与数乘规则相同。因此矩阵具备表示向量组的条件，称之为<strong>向量空间</strong>。向量空间中定义的加法和数乘需要满足如下几条（假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.467ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 2416.3 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1016.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1506.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1951.3,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>为向量，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.735ex" height="2.034ex" role="img" focusable="false" viewBox="0 -705 1650.7 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mo" transform="translate(640,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1084.7,0)"><path data-c="1D6FD" d="M29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431Z"></path></g></g></g></svg></mjx-container></span>为标量/常数）：</p>
+<ol type="1">
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+</ol>
+<p><del>好多啊ccc</del>，其实就是需要把“加法”定义成正统的加法（满足交换律、结合律）；“数乘”定义为正规的数乘（满足结合律、分配律，没有交换律）。可以发现矩阵的加法和数乘和它完美匹配！因此矩阵可以作为一个向量空间。</p>
+<p>于是，向量空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>中的元素称作向量。因为这个空间需要包罗万象，就像宇宙空间要包含我们赖以生存的地球一样……它包括我们所需要的向量，因此向量运算最基本的两种——加法与数乘运算所导出的结果必须也在向量空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>内，这叫做向量空间内<strong>加法和数乘的封闭性</strong>，向量空间必定符合这个性质。如此一来，向量空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>就足以作为向量所生存的“宇宙空间”了。</p>
+<p>当然有时我们并不需要那么多空间，好比一个人住一个城市……先不提城市各项环节能否正常运作，如果只是用来溜达的，那也是太过巨大了，有些地方可能你一辈子也取不到，还不如开始就不要。向量空间其实也可以像这样压缩范围，并且压缩后的向量空间也必须是全集<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的子集。根据向量空间的定义，该空间内的向量做任意加法和数乘运算得到的结果都得是空间内的向量。若向量空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的子集<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.459ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 645 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>满足加法和数乘运算的封闭性，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.459ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 645 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的一个子空间。特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.394ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1500 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"></path></g><g data-mml-node="mn" transform="translate(500,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(1000,0)"><path data-c="7D" d="M65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>都是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的子空间，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="3.394ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1500 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"></path></g><g data-mml-node="mn" transform="translate(500,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(1000,0)"><path data-c="7D" d="M65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731Z"></path></g></g></g></svg></mjx-container></span>称作<strong>零子空间</strong>，其他非零且不等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的子空间称作<strong>真子空间</strong>（类比集合的空集、子集和真子集概念）。</p>
+<p>在矩阵中，也存在零空间。它表现为矩阵方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.139ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3155.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1599.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2655.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="2.865ex" height="1.593ex" role="img" focusable="false" viewBox="0 -683 1266.3 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>上的解集<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>。我们首先验证数乘封闭性，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="29.809ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 13175.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mi" transform="translate(1390,0)"><path data-c="1D465" d="M52 289Q59 331 106 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transform="translate(9509.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(10565.1,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(11342.9,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 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585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(10986.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(11986.4,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(12764.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(13820,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(14597.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mi" transform="translate(15542.6,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>。封闭性得证，因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的子空间。这种空间被称作矩阵的<strong>零空间</strong>，通常用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.466ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2416 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(888,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1277,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2027,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的零空间。</p>
+<hr>
+<p><strong>例4.1.1 Merusea Village Portal 海露村传送门</strong></p>
+<blockquote>
+<p>自从你来到枫丹，知晓了水仙十字结社的秘密之后，奇怪的事情开始在你身边上演……</p>
+<p>你在海露村遇见了抽象派美露莘大画师玛梅赫、以及一只发条机关狗西摩尔。很不巧，玛梅赫的作画颜料用完了，于是你们前去收集更加纯净的矿物颜料，期间玛梅赫邀请你们进入一个粉色的漩涡虫洞。或许是因为你前一天冒险到深夜，在这个温暖且舒适的环境下来了困意。一闭眼，再一睁眼，迎接你的不是如同往常一般的新地下区域——而是一片温暖的、舒适的粉色幻境——你被一个人丢在这个传送通道里了！</p>
+<p>为了不让派蒙着急，同时也为了你能尽快在下一次困意席卷前逃出这个空间，你需要确定这个传送门是否为“同维度空间卷曲型”——即传送过程中不发生维度的变化。你需要证明你身处的空间是一个三维空间的子空间，这样才能使用正确的方法逃出生天。你发现你的身高和体宽的比值是原来的一半、但是体宽不变。请证明你所在的空间是是三维空间的子空间。</p>
+</blockquote>
+<p><em>问题分析</em>：首先要根据已有的信息判断该向量空间是否为三维向量空间的子集，然后再验证加法与数乘的封闭性，只有当二者均成立时才能够证明该空间是三维空间的子空间。</p>
+<p><em>算法设计</em>：根据题干最后一句话，我们不妨将主人公设为三维坐标系原点，按照<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.467ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 2416.3 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1016.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1506.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1951.3,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>三个坐标轴来建立变换关系。比如说“身高体宽比减半”代表的是现在的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>轴是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>轴的一半，假设原身高在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>轴上有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 500 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>个单位，而现在只有两个单位，证明现在的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>轴被拉伸了一倍。最后关于封闭性的证明，设出几个具有普遍性的向量证明即可。</p>
+<p><em>解</em>：根据变换关系，得到该向量空间的集合形式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="20.599ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 9104.7 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mo" transform="translate(922.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1978.6,0)"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1251)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z" transform="translate(0,-751)"></path><path data-c="23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="281" y="1060" x="0" viewBox="0 49.5 889 281"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,1.382)"></path></svg><svg width="889" height="281" y="-841" x="0" viewBox="0 49.5 889 281"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,1.382)"></path></svg></g><g data-mml-node="mrow" transform="translate(889,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd" transform="translate(53.5,0)"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1239,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,996)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.002)"></path></svg></g></g><g data-mml-node="mo" transform="translate(2795,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(3073,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(3815.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(4871.6,0)"><g data-mml-node="mn" transform="translate(220,394) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mn" transform="translate(220,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="553.6" height="60" x="120" y="220"></rect></g><g data-mml-node="mi" transform="translate(5665.1,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(6237.1,0)"><path data-c="23AB" d="M170 875Q170 892 172 895T189 899H194H211L222 893Q345 826 420 715T503 476Q504 467 504 230Q504 51 504 21T499 -9H498Q496 -10 444 -10Q402 -10 394 -9T385 -4Q384 -2 384 240V311V366Q384 469 380 513T358 609Q342 657 319 698T271 767T227 812T189 843T171 856T170 875Z" transform="translate(0,1251)"></path><path data-c="23AD" d="M384 -239V-57Q384 4 389 9Q391 10 455 10Q496 10 498 9Q501 8 502 5Q504 -5 504 -230Q504 -261 504 -311T505 -381Q505 -486 492 -551T435 -691Q357 -820 222 -893L211 -899H195Q176 -899 173 -896T170 -874Q170 -858 171 -855T184 -846Q262 -793 312 -709T378 -525Q378 -524 379 -522Q383 -493 384 -351Q384 -345 384 -334Q384 -276 384 -239Z" transform="translate(0,-751)"></path><path data-c="23AC" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 925V782Q504 676 511 616T546 490Q563 446 587 408T633 345T674 304T705 278T717 268Q718 267 718 250T717 232Q717 231 697 216T648 169T588 93T534 -24T505 -179Q504 -191 504 -425Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -424Q384 -191 385 -182Q394 -49 463 61T645 241L659 250L645 259Q539 325 467 434T385 682Q384 692 384 873Q384 1153 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="281" y="1060" x="0" viewBox="0 49.5 889 281"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,1.382)"></path></svg><svg width="889" height="281" y="-841" x="0" viewBox="0 49.5 889 281"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,1.382)"></path></svg></g></g></g></g></svg></mjx-container></span>。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.459ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 645 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="2.705ex" height="1.933ex" role="img" focusable="false" viewBox="0 -833.2 1195.6 854.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mn" transform="translate(792,363) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></svg></mjx-container></span>的子集，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="9.755ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 4311.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(1905.6,0)"><g data-mml-node="mo"><path data-c="23A1" d="M319 -645V1154H666V1070H403V-645H319Z" transform="translate(0,996)"></path><path data-c="23A3" d="M319 -644V1155H403V-560H666V-644H319Z" transform="translate(0,-1006)"></path><svg width="667" height="402" y="49" x="0" viewBox="0 100.5 667 402"><path data-c="23A2" d="M319 0V602H403V0H319Z" transform="scale(1,1.002)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 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219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(462,-150) scale(0.707)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(3928.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1422.5)"><g data-mml-node="mtd" transform="translate(714.7,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g><g data-mml-node="mo" transform="translate(1163,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msub" transform="translate(2163.2,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(462,-150) scale(0.707)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(5100.4,0)"><path data-c="23A4" d="M0 1070V1154H347V-645H263V1070H0Z" transform="translate(0,1018.5)"></path><path data-c="23A6" d="M263 -560V1155H347V-644H0V-560H263Z" transform="translate(0,-1028.5)"></path><svg width="667" height="447" y="26.5" x="0" viewBox="0 111.7 667 447"><path data-c="23A5" d="M263 0V602H347V0H263Z" transform="scale(1,1.114)"></path></svg></g></g><g data-mml-node="mo" transform="translate(9559.2,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mi" transform="translate(10503.9,0)"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>，封闭性得证。</p>
+<p>因此，所在空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.459ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 645 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>是三维空间的一个子空间。</p>
+<p><em>后日谈</em>：其实是你网卡了渲染出错了……和什么三维不三维空间没啥关系……</p>
+<hr>
+<h4 id="第二节-基底张成与张集">第二节 基底、张成与张集</h4>
+<p>假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.048ex;" xmlns="http://www.w3.org/2000/svg" width="2.865ex" height="1.593ex" role="img" focusable="false" viewBox="0 -683 1266.3 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>中有向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="13.918ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 6151.6 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1366.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2287.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(2732.4,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(3820.7,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(5159.3,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="32.117ex" height="1.694ex" role="img" focusable="false" viewBox="0 -583 14195.6 748.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 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505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的所有线性组合构成的集合叫向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="10.827ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 4785.4 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1366.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2454.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(3793.1,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的<strong>张成</strong>。</p>
+<p>我们都知道，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个不共线向量唯一确定一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维平面。假如有向量：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="14.704ex" height="2.728ex" role="img" focusable="false" viewBox="0 -955.8 6499.4 1205.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1862.6,0)"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mtable" transform="translate(278,0)"><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3778,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g><g data-mml-node="mi" transform="translate(4089,477.1) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.999ex" height="3.048ex" role="img" focusable="false" viewBox="0 -1097 7955.4 1347"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(706.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(1762.6,0)"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mtable" transform="translate(278,0)"><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(2278,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5334,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g><g data-mml-node="mi" transform="translate(5645,477.1) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>。它们的张成就是（注：最好是验证两个向量在三维空间里的张成，既直观还符合常规认知）它们围成的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维平面。方才的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.934ex" role="img" focusable="false" viewBox="0 -845 529 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="2.507ex" role="img" focusable="false" viewBox="0 -1097 429 1108"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>的张成如下图：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/0g11hunu.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/0g11hunu.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>如果<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="36.874ex" height="1.92ex" role="img" focusable="false" viewBox="0 -683 16298.2 848.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mn" transform="translate(673,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(1076.6,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 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672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>，则称<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="10.827ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 4785.4 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1366.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 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transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>张成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>。用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.373ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8563 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mi" transform="translate(645,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(1677,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2277,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2666,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(3587.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(4032.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(4953.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(5398.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(6737.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(7181.8,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(8174,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示。有以下两条性质：</p>
+<ol type="1">
+<li>若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="16.967ex" height="1.984ex" role="img" focusable="false" viewBox="0 -683 7499.6 877"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1366.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2287.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(2732.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(4071.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(4515.8,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(5785.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mi" transform="translate(6730.6,0)"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.373ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8563 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mi" transform="translate(645,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 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153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2277,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(2666,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 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580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(8174,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的子空间</li>
+<li>向量平面<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>中一组向量的张成是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>中包含这组向量的最小子空间</li>
+</ol>
+<p>对于第一条，因为你怎么拟合平面，都不可能让你的平面比整个空间的维度更高，而且无论以什么系数搭配向量，它们所得的新向量都在整体空间内，第一条就能很简明的证明了。第二条性质，首先空间内向量的张成必为整个空间的子空间，毕竟用的都是数乘和加法，用的向量也都在空间内，总不能算一下加法向量就跑到空间外边去了吧，此外，因为数乘和加法的封闭性，任何经过这两个向量的空间都包含其张成，因此它是最小的。</p>
+<p>和张成相对，如果<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="10.827ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 4785.4 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path 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343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2454.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 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505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>张成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="10.827ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 4785.4 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 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451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的<strong>张集</strong>。</p>
+<p>基底，大家在高中立体几何部分学过了。当时的定义是：平面内不共线的两个向量叫做这个平面的一组基底。然而这段话可以用线性代数的语言原原本本描述出来：“<strong>在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维向量空间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>中有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个线性无关的向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="12.462ex" height="1.441ex" role="img" focusable="false" viewBox="0 -443 5508 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(921.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1366.2,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2287.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(2732.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(4071.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(4515.8,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，则称它们是向量空间的一组基</strong>”。线性无关的概念，之前已经简单讲过，总的来说就是向量不共线，即不存在标量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="5.847ex" height="1.636ex" role="img" focusable="false" viewBox="0 -683 2584.6 723"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mo" transform="translate(917.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(1862.6,0)"><g data-mml-node="mi"><path data-c="211D" d="M17 665Q17 672 28 683H221Q415 681 439 677Q461 673 481 667T516 654T544 639T566 623T584 607T597 592T607 578T614 565T618 554L621 548Q626 530 626 497Q626 447 613 419Q578 348 473 326L455 321Q462 310 473 292T517 226T578 141T637 72T686 35Q705 30 705 16Q705 7 693 -1H510Q503 6 404 159L306 310H268V183Q270 67 271 59Q274 42 291 38Q295 37 319 35Q344 35 353 28Q362 17 353 3L346 -1H28Q16 5 16 16Q16 35 55 35Q96 38 101 52Q106 60 106 341T101 632Q95 645 55 648Q17 648 17 665ZM241 35Q238 42 237 45T235 78T233 163T233 337V621L237 635L244 648H133Q136 641 137 638T139 603T141 517T141 341Q141 131 140 89T134 37Q133 36 133 35H241ZM457 496Q457 540 449 570T425 615T400 634T377 643Q374 643 339 648Q300 648 281 635Q271 628 270 610T268 481V346H284Q327 346 375 352Q421 364 439 392T457 496ZM492 537T492 496T488 427T478 389T469 371T464 361Q464 360 465 360Q469 360 497 370Q593 400 593 495Q593 592 477 630L457 637L461 626Q474 611 488 561Q492 537 492 496ZM464 243Q411 317 410 317Q404 317 401 315Q384 315 370 312H346L526 35H619L606 50Q553 109 464 243Z"></path></g></g></g></g></svg></mjx-container></span>，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="8.635ex" height="1.658ex" role="img" focusable="false" viewBox="0 -583 3816.7 733"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="msub" transform="translate(640,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1839.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(2895.1,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>；线性相关则反之，指的是两个向量共线，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="16.746ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 7401.9 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2203" d="M56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674Z"></path></g><g data-mml-node="mi" transform="translate(556,0)"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mo" transform="translate(1473.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2418.6,0)"><g data-mml-node="mi"><path data-c="211D" d="M17 665Q17 672 28 683H221Q415 681 439 677Q461 673 481 667T516 654T544 639T566 623T584 607T597 592T607 578T614 565T618 554L621 548Q626 530 626 497Q626 447 613 419Q578 348 473 326L455 321Q462 310 473 292T517 226T578 141T637 72T686 35Q705 30 705 16Q705 7 693 -1H510Q503 6 404 159L306 310H268V183Q270 67 271 59Q274 42 291 38Q295 37 319 35Q344 35 353 28Q362 17 353 3L346 -1H28Q16 5 16 16Q16 35 55 35Q96 38 101 52Q106 60 106 341T101 632Q95 645 55 648Q17 648 17 665ZM241 35Q238 42 237 45T235 78T233 163T233 337V621L237 635L244 648H133Q136 641 137 638T139 603T141 517T141 341Q141 131 140 89T134 37Q133 36 133 35H241ZM457 496Q457 540 449 570T425 615T400 634T377 643Q374 643 339 648Q300 648 281 635Q271 628 270 610T268 481V346H284Q327 346 375 352Q421 364 439 392T457 496ZM492 537T492 496T488 427T478 389T469 371T464 361Q464 360 465 360Q469 360 497 370Q593 400 593 495Q593 592 477 630L457 637L461 626Q474 611 488 561Q492 537 492 496ZM464 243Q411 317 410 317Q404 317 401 315Q384 315 370 312H346L526 35H619L606 50Q553 109 464 243Z"></path></g></g><g data-mml-node="mo" transform="translate(3140.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 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data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mn" transform="translate(518,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>成立。正如在高中课堂上学的一样，给出一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维空间的一组基底，该空间上所有的向量都可以用这组基底唯一地表示出来。比如下边这个例子：</p>
+<hr>
+<p><strong>例4.2.1 Al-Ahmar's Trial 赤王的试炼</strong></p>
+<blockquote>
+<p>你和婕德一行人在圣显厅前击败了图谋不轨的镀金旅团，并在他们搭起的营帐里发现了一封密信。上面写着若想进入圣显厅，需先过三关试炼。为了能够一探黄金梦乡的秘密，你接下了完成三重试炼的任务，然而当你真正进入到第一重试炼时，却发现事情并没有这么简单……</p>
+<p>你进入了试炼场地，却发现整个世界天旋地转。最终安定下来，你发现赤王的神奇科技把你带入了一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维空间内。这还没完，四周又有整齐排列的空气墙阻挡了你的通路。经过好一顿摸索，你终于发现这是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>维空间，于是你开始建立空间坐标系，五个坐标轴分别是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.916ex" height="1.88ex" role="img" focusable="false" viewBox="0 -626 4382.7 831"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D464" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 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554Z"></path></g></g></g></svg></mjx-container></span>？</p>
+</blockquote>
+<p><em>问题分析</em>：这个问题明显是让我们用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="9.268ex" height="2.921ex" role="img" focusable="false" viewBox="0 -1097 4096.7 1291"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(973.7,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1402.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(1847.3,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(3186,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(3630.7,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>来表示出从起点（原点）到终点的一个向量，因为这五个向量不共线，可以作为五维向量空间的一组基底。又因为基底可以唯一地表示出平面上的所有向量，考虑列方程组求解每个基向量的系数关系。</p>
+<p><em>解</em>：明显地，题中五个向量互相线性无关，因此可以作为该平面的一组基。由于向量加法和数乘运算的封闭性，且路径向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.356ex" height="2.477ex" role="img" focusable="false" viewBox="0 -845 7671.2 1095"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(334.8,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(780.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1836.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(2225.6,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(2725.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(3170.2,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3670.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(4114.9,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(4892.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(5392.9,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(5837.6,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 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+<p>因此，应在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.934ex" role="img" focusable="false" viewBox="0 -845 529 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 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186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(500,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(778,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1307,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>，在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="2.507ex" role="img" focusable="false" viewBox="0 -1097 429 1108"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(214.5,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>方向上移动<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="2.229ex" height="3.046ex" role="img" focusable="false" viewBox="0 -1097 985 1346.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(278,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 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61V578Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1278,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(1556,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(272.1,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1989,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>，在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.176ex" height="2.505ex" role="img" focusable="false" viewBox="0 -1097 520 1107"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(427,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>方向上移动<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="5.326ex" height="3.046ex" role="img" focusable="false" viewBox="0 -1097 2354 1346.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1278,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(1556,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(427,283) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2076,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g></g></g></svg></mjx-container></span>，在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.054ex" height="1.937ex" role="img" focusable="false" viewBox="0 -845 466 856"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 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transform="translate(500,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1278,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(1556,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2022,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 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+<hr>
+<p>因此一旦选定了平面的基底，该平面上所有的向量都可以用这组基底唯一表示出来，具体操作是使待求向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="36.428ex" height="1.694ex" role="img" focusable="false" viewBox="0 -583 16101.2 748.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 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261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mi" transform="translate(673,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="msub" transform="translate(15108.9,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，接着解方程求出系数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.448ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 640 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g></g></g></svg></mjx-container></span>的值即可。</p>
+<p>基底可以表示平面内所有的向量，故<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>维平面<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>的基张成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.74ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 769 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D449" d="M52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="第三节-线性基">第三节 线性基</h4>
+<p>第二节里我们讲了向量空间的基底，基底其实还有一个名称叫线性基。平面中所有向量唯一对应一种基底的线性组合。在OI中常常被用于求第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>大异或和的问题。为了和实数四则运算的线性基区分，这种线性基下称异或线性基</p>
+<p>一组值的异或和可以看做该空间内异或线性基的向量的异或组合，由于基底表示向量的唯一性：原集合中的数可以通过异或线性基里的基向量唯一确定。它有如下几个性质，事实上，它和普通平面内的实数线性基有相似之处：</p>
+<ol type="1">
+<li>原序列中任何元素都可以通过异或线性基内的元素异或得到</li>
+<li>异或线性基不存在重复元素，且在保证性质一的前提下，它的元素最少</li>
+</ol>
+<p>异或运算也有一个特殊性质，若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.834ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 4788.6 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mstyle" transform="translate(529,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(807,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(1379,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(1864,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mstyle" transform="translate(2315,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(2593,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3299.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4355.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.834ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 4788.6 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mstyle" transform="translate(2295.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(2573.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(3145.6,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(3630.6,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mstyle" transform="translate(4081.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(4359.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>根据以上性质构造计算方法：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">void</span> <span class="token function">insert</span><span class="token punctuation">(</span>ll x<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>x <span class="token operator">&gt;&gt;</span> i<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token punctuation">{</span> <span class="token comment">// 要存放的数的当前位为1</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> x<span class="token punctuation">;</span> <span class="token comment">// 异或线性基该位为0，二进制下该位置为1 </span>
+				<span class="token keyword">break</span><span class="token punctuation">;</span> <span class="token comment">// 已找到位置存放，退出循环 </span>
+			<span class="token punctuation">}</span>
+			x <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">//  异或线性基该位为1，为化为下三角形矩阵形式方便计算置为0 </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>由于一般题目中数据范围是<code>1e18</code>，而转换为二进制位就有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.546ex;" xmlns="http://www.w3.org/2000/svg" width="25.761ex" height="2.501ex" role="img" focusable="false" viewBox="0 -864 11386.3 1105.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 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-72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mn" transform="translate(1311,-241.4) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 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transform="translate(9330.5,0)"><path data-c="2248" d="M55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85Z"></path></g><g data-mml-node="mn" transform="translate(10386.3,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>位，因此数据类型最好选用无符号长长整型<code>unsigned long long</code>，线性基<code>p</code>数组至少需要<code>60</code>位。</p>
+<p>有时并不是所有的插入操作都会成功，因为要保证异或线性基里的向量互相线性无关。存储操作本质上是拆分二进制位，然后将它尽量表示为已有基向量的异或和，好像除去每个人身上的共同特征，只保留人的独特个性一般。如果拆到最后再也拆不了了，证明它是独特的，可以加入其中。反之，这个数就可以被其他数通过异或运算代替，没必要加它，返回插入失败。可以有下面的代码：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">bool</span> <span class="token function">insert</span><span class="token punctuation">(</span>ll x<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>x <span class="token operator">&gt;&gt;</span> i<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> x<span class="token punctuation">;</span> <span class="token comment">// 异或线性基该位为0，二进制下该位置为1 </span>
+				<span class="token keyword">break</span><span class="token punctuation">;</span> <span class="token comment">// 已找到位置存放，退出循环 </span>
+			<span class="token punctuation">}</span>
+			x <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">//  异或线性基该位为1，为化为下三角形矩阵形式方便计算置为0 </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> x<span class="token punctuation">;</span> <span class="token comment">// 若被异或分解为0，则证明它可以被现有元素计算得到，为保证异或线性基元素互相线性无关，不予插入 </span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>如果是求一个数能否被这个异或线性基表示出来，将最后一行改为<code>return !x;</code>即可（能表示即不可插入，不能表示即可以插入）。若某次插入失败，证明<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>可以被表示出来，在求最小值是要额外关注！我们在此维护一个布尔值<code>flag = false</code>，在插入失败后设为<code>true</code>表示需要特判<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>线性基用于求解一组数的异或和最值问题，有下面求最值的三个例子。它们无一例外使用了贪心法：</p>
+<p><strong>1. 求最大值</strong></p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">ll <span class="token function">xorMax</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		ans <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>ans<span class="token punctuation">,</span> ans <span class="token operator">^</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>为什么从高位开始遍历？我们都知道如果一个数字的某位数大于另一个数字相同位置的数（两数数量级相同，即十进制下位数相同），那么前者是大于后者的。根据异或的运算法则：“<strong>不同为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，相同为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span></strong>”。如果<code>ans</code>的高位此时是<code>0</code>，若进行异或运算的同位数字是<code>0</code>，即二者相同，结果为<code>0</code>，不会变得更小；反之若异或运算的对应二进制位为<code>1</code>，当前位异或结果是<code>1</code>，变大了，因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.424ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7701.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mtext"><path data-c="61" d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(500,0)"></path><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" transform="translate(1056,0)"></path></g><g data-mml-node="mstyle" transform="translate(1450,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(1728,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(2300,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(2785,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mstyle" transform="translate(3236,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(3514,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(4017,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mi" transform="translate(4295,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4640,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g><g data-mml-node="mo" transform="translate(5195.8,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mtext" transform="translate(6251.6,0)"><path data-c="61" d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(500,0)"></path><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" transform="translate(1056,0)"></path></g></g></g></svg></mjx-container></span>；如果<code>ans</code>高位为<code>1</code>，运算数对应位为<code>0</code>，结果为<code>1</code>，不会变得更大；若运算数当前位是<code>1</code>异或结果为<code>0</code>，变小了，所以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.424ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7701.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mtext"><path data-c="61" d="M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(500,0)"></path><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 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33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(2300,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(2785,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mstyle" transform="translate(3236,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(3514,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(4017,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mi" transform="translate(4295,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4640,0)"><path data-c="5D" d="M22 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276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(500,0)"></path><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" transform="translate(1056,0)"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>2. 求最小值</strong></p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">ll <span class="token function">xorMin</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> <span class="token comment">// 特判0 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> <span class="token number">63</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token keyword">return</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>我们知道，可以通过任意组合（异或运算）异或线性基中的元素来得出各种新的元素，若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="2.468ex" role="img" focusable="false" viewBox="0 -1069 500 1091"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(250,255) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>无法被表示出来，我们找到异或线性基里最小的元素即可，因为异或线性基里的每个元素也是原序列中某些元素的异或和；反之返回<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>3. 求第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>小值</strong></p>
+<p><del>这才是异或线性基的高级玩法</del></p>
+<p>为了求第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>小值，首先要对异或线性基进行一轮清扫。将它高斯消元化简为最简形式，称作重构<code>rebuild</code>。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">void</span> <span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span> <span class="token comment">// 从高位开始按位扫 </span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span> <span class="token comment">// 遍历右移 </span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">&gt;&gt;</span> j<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">^=</span> p<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 保证p[i]是异或线性基里第i位最小的那个，通过不断异或可以变小 </span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>接着我们需要特判<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，如果每一次插入都可以成功进行，向量之间互相线性无关，也就无法表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="2.468ex" role="img" focusable="false" viewBox="0 -1069 500 1091"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(250,255) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>。在求<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>小值时，若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.327ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 2354.6 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(798.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1854.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，也就是说求最小值，明显应该返回<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，如果按照常规思路返回<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.183ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1849 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(1460,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>就是错误的，因为这个做法的前提是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.284ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3661.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(939,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1439,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2105.8,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mn" transform="translate(3161.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。所以如果先前的插入操作出现失败的情况，就要对<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>进行特判，原先的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.183ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1849 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(1460,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>实为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.08ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3571.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(1682.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2682.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3182.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">ll <span class="token function">queryKMax</span><span class="token punctuation">(</span>ll k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">==</span> <span class="token number">1</span> <span class="token operator">&amp;&amp;</span> flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span> <span class="token comment">// 特判 </span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> k<span class="token operator">--</span><span class="token punctuation">;</span> <span class="token comment">// 特判0，f(k)实为f(k-1) </span>
+	<span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 重构异或线性基</span>
+	ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span> 
+			<span class="token comment">// 对k进行二进制分解 </span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> ans <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 位为1，异或</span>
+			k <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>除了求值，异或线性基还可以合并，甚至于求它和另一个异或线性基的交集与并集。所以异或线性基是一种<strong>数据结构</strong>。封装在一个结构体<code>XorBase</code>里：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">struct</span> <span class="token class-name">XorBase</span> <span class="token punctuation">{</span>
+	ll p<span class="token punctuation">[</span><span class="token number">64</span><span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token keyword">bool</span> flag<span class="token punctuation">;</span>
+	
+	<span class="token function">XorBase</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		flag <span class="token operator">=</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+		<span class="token function">memset</span><span class="token punctuation">(</span>p<span class="token punctuation">,</span> <span class="token number">0</span><span class="token punctuation">,</span> <span class="token keyword">sizeof</span> p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	<span class="token keyword">bool</span> <span class="token function">insert</span><span class="token punctuation">(</span>ll n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>n <span class="token operator">&gt;&gt;</span> i<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+                <span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+                    p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> n<span class="token punctuation">;</span>
+                    <span class="token keyword">break</span><span class="token punctuation">;</span>
+                <span class="token punctuation">}</span>
+                n <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>    
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>n<span class="token punctuation">)</span> flag <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+		<span class="token keyword">return</span> n<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	<span class="token keyword">void</span> <span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">&gt;&gt;</span> j<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">^=</span> p<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">getMin</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token keyword">return</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">getMax</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			ans <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>ans<span class="token punctuation">,</span> ans <span class="token operator">^</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">MaxK</span><span class="token punctuation">(</span>ll k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">==</span> <span class="token number">1</span> <span class="token operator">&amp;&amp;</span> flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> k<span class="token operator">--</span><span class="token punctuation">;</span>
+		<span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> ans <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+				k <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span class="token punctuation">;</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><strong>4. 并集</strong></p>
+<p>思路就是枚举异或线性基<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的内容，将其中元素全部加入到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>中。 <pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">XorBase <span class="token function">Union</span><span class="token punctuation">(</span>XorBase A<span class="token punctuation">,</span> XorBase B<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	XorBase res <span class="token operator">=</span> B<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> <span class="token number">63</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>A<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			res<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>A<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre></p>
+<p><strong>5. 交集</strong></p>
+<p>如果一个异或线性基里的元素插入到另一个异或线性基里会失败，则将它插入到交集异或线性基中。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">XorBase <span class="token function">Intersect</span><span class="token punctuation">(</span>XorBase A<span class="token punctuation">,</span> XorBase B<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	XorBase res<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> <span class="token number">63</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>A<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>B<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>A<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">)</span> res<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>A<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>B<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>A<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>B<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">)</span> res<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>B<span class="token punctuation">.</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<hr>
+<p><strong>例4.3.1 DMG Bonus 核爆</strong></p>
+<blockquote>
+<p>作为一名资深神原玩家，你希望能在新限定五星角色初进卡池时尽快拿下全网首个999w核爆记录，以此证明自己的实力。现在你已经在游戏里做好了很多伤害加成型的食物，准备在boss战时一展身手。战斗开始时，你首先给角色吃下了基础食物（每局开始前必吃的食物），它的效果是在300秒内单角色爆发伤害增加<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.127ex;" xmlns="http://www.w3.org/2000/svg" width="4.147ex" height="1.824ex" role="img" focusable="false" viewBox="0 -750 1833 806"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g></g></g></svg></mjx-container></span>，但是同时它有一个副作用……</p>
+<p>基础食物生效期内，如果角色吃下其他伤害加成型的食物，总伤害加成的百分比数值将是各种食物的伤害百分比数值的异或之和，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="23.723ex" height="5.449ex" role="img" focusable="false" viewBox="0 -1362.5 10485.5 2408.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g 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629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1000,0)"></path></g><g data-mml-node="mi" transform="translate(9652.5,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="5.587ex" height="5.449ex" role="img" focusable="false" viewBox="0 -1362.5 2469.3 2408.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo" transform="translate(18.3,0)"><path data-c="2A01" d="M555 -250Q420 -250 306 -185T124 -4T56 250Q56 453 193 595T526 749Q528 750 539 750Q554 750 562 749Q688 749 800 687T983 508T1054 250Q1054 112 987 -3T806 -184T555 -250ZM513 478Q513 664 512 664Q504 664 481 660T406 637T313 588Q281 564 255 537T211 483T181 431T161 382T150 342T144 310T141 292H513V478ZM798 588Q758 616 711 634T639 658T602 663L597 664V292H969Q969 293 967 309T960 341T949 381T930 430T900 482T856 537T798 588ZM513 -164V208H141Q142 205 144 189T149 160T158 125T173 83T196 39T229 -9Q249 -34 273 -55T318 -92T363 -119T405 -138T444 -150T475 -158T499 -162T513 -164ZM775 -103Q801 -87 823 -68T863 -30T894 10T919 49T937 88T950 123T959 154T964 180T968 198L969 208H597V-164Q599 -163 616 -161T647 -155T683 -145T728 -128T775 -103Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(361.7,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msub" transform="translate(1314.3,0)"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mi" transform="translate(861,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.375ex;" xmlns="http://www.w3.org/2000/svg" width="25.318ex" height="1.92ex" role="img" focusable="false" viewBox="0 -683 11190.7 848.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mn" transform="translate(861,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1486.8,0)"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g data-mml-node="msub" transform="translate(2487,0)"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mn" transform="translate(861,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(3973.8,0)"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g data-mml-node="msub" transform="translate(4974,0)"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mn" transform="translate(861,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(6460.8,0)"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g data-mml-node="mo" transform="translate(7461,0)"><path data-c="22EF" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250Z"></path></g><g data-mml-node="mo" transform="translate(8855.2,0)"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g data-mml-node="msub" transform="translate(9855.4,0)"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mi" transform="translate(861,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.188ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2295" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g></g></g></svg></mjx-container></span>为异或符号。各种食物的伤害加成在下边给出，如果不吃任何加成型食品（也不吃基础食品），爆发伤害期望值为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="7.919ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 3500 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" transform="translate(500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1000,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(2000,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(2500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(3000,0)"></path></g></g></g></svg></mjx-container></span>。吃完所有食物后，如果你用增伤角色施加了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.127ex;" xmlns="http://www.w3.org/2000/svg" width="4.147ex" height="1.824ex" role="img" focusable="false" viewBox="0 -750 1833 806"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mi" transform="translate(1000,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g></g></g></svg></mjx-container></span>的爆发增伤。请问你的最大爆发伤害能否达到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="7.919ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 3500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(500,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(1000,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(1500,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(2000,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(2500,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(3000,0)"></path></g></g></g></svg></mjx-container></span>，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.147ex" height="2.156ex" role="img" focusable="false" viewBox="0 -871.1 3159 953.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mn" transform="translate(1033,393.1) scale(0.707)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g><g data-mml-node="mo" transform="translate(1658.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2659,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>？若不能，最高伤害是多少？（令每种食物只有一份，且食物效果均可叠加，结果四舍五入到万位）</p>
+</blockquote>
+<table>
+<thead>
+<tr class="header">
+<th style="text-align: center;">编号</th>
+<th style="text-align: center;">加成效果</th>
+</tr>
+</thead>
+<tbody>
+<tr class="odd">
+<td style="text-align: center;">1</td>
+<td style="text-align: center;">270%</td>
+</tr>
+<tr class="even">
+<td style="text-align: center;">2</td>
+<td style="text-align: center;">200%</td>
+</tr>
+<tr class="odd">
+<td style="text-align: center;">3</td>
+<td style="text-align: center;">280%</td>
+</tr>
+<tr class="even">
+<td style="text-align: center;">4</td>
+<td style="text-align: center;">200%</td>
+</tr>
+<tr class="odd">
+<td style="text-align: center;">5</td>
+<td style="text-align: center;">180%</td>
+</tr>
+<tr class="even">
+<td style="text-align: center;">6</td>
+<td style="text-align: center;">150%</td>
+</tr>
+<tr class="odd">
+<td style="text-align: center;">7</td>
+<td style="text-align: center;">75%</td>
+</tr>
+</tbody>
+</table>
+<p><em>问题分析</em>：题干信息已经很明显了，这是一道异或线性基的最大和问题。根据上文所述程序计算即可。</p>
+<p><em>算法实现</em>：这里使用的是结构体封装版本的异或线性基计算代码：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> <span class="token keyword">unsigned</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">struct</span> <span class="token class-name">XorBase</span> <span class="token punctuation">{</span>
+	ll p<span class="token punctuation">[</span><span class="token number">64</span><span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token keyword">bool</span> flag<span class="token punctuation">;</span>
+	
+	<span class="token function">XorBase</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		flag <span class="token operator">=</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+		<span class="token function">memset</span><span class="token punctuation">(</span>p<span class="token punctuation">,</span> <span class="token number">0</span><span class="token punctuation">,</span> <span class="token keyword">sizeof</span> p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	<span class="token keyword">bool</span> <span class="token function">insert</span><span class="token punctuation">(</span>ll n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>n <span class="token operator">&gt;&gt;</span> i<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+                <span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+                    p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> n<span class="token punctuation">;</span>
+                    <span class="token keyword">break</span><span class="token punctuation">;</span>
+                <span class="token punctuation">}</span>
+                n <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>    
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>n<span class="token punctuation">)</span> flag <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+		<span class="token keyword">return</span> n<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	<span class="token keyword">void</span> <span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">&gt;&gt;</span> j<span class="token punctuation">)</span> <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">^=</span> p<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">getMin</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token keyword">return</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">getMax</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			ans <span class="token operator">=</span> <span class="token function">max</span><span class="token punctuation">(</span>ans<span class="token punctuation">,</span> ans <span class="token operator">^</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	
+	ll <span class="token function">MaxK</span><span class="token punctuation">(</span>ll k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">==</span> <span class="token number">1</span> <span class="token operator">&amp;&amp;</span> flag<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>flag<span class="token punctuation">)</span> k<span class="token operator">--</span><span class="token punctuation">;</span>
+		<span class="token function">rebuild</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		ll ans <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">63</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> ans <span class="token operator">^=</span> p<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+				k <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">return</span> ans<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span> A<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ios<span class="token double-colon punctuation">::</span><span class="token function">sync_with_stdio</span><span class="token punctuation">(</span><span class="token boolean">false</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cin<span class="token punctuation">.</span><span class="token function">tie</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cout<span class="token punctuation">.</span><span class="token function">tie</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	
+	<span class="token keyword">int</span> n<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>n<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">int</span> x<span class="token punctuation">;</span>
+		cin<span class="token operator">&gt;&gt;</span>x<span class="token punctuation">;</span>
+		A<span class="token punctuation">.</span><span class="token function">insert</span><span class="token punctuation">(</span>x<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	cout<span class="token operator">&lt;&lt;</span><span class="token punctuation">(</span><span class="token number">1400000</span> <span class="token operator">*</span> <span class="token punctuation">(</span>A<span class="token punctuation">.</span><span class="token function">getMax</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token number">60</span> <span class="token operator">+</span> <span class="token number">70</span><span class="token punctuation">)</span> <span class="token operator">/</span> <span class="token number">100</span><span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>运行代码，在输入框输入：</p>
+<pre class="line-numbers language-none"><code class="language-none">7
+270
+200
+280
+200
+180
+150
+75<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>结果输出：<code>8162000.000</code>。小于所给的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.147ex" height="2.156ex" role="img" focusable="false" viewBox="0 -871.1 3159 953.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mn" transform="translate(1033,393.1) scale(0.707)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g><g data-mml-node="mo" transform="translate(1658.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2659,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。因而不能达到目标，最高伤害<code>816</code>万。</p>
+<hr>
+<p><strong>洛谷例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3812">P3812 [模板]
+线性基</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4570">P4570 [BJWC2011]
+元素</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4301">P4301 [CQOI2013]
+新Nim游戏</a></li>
+</ol>
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+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克...</p>
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+      <ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0-%E7%AE%80%E6%98%8E%E6%95%99%E7%A8%8B"><span class="toc-number">1.</span> <span class="toc-text">线性代数 简明教程</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%89%8D%E8%A8%80"><span class="toc-number">1.1.</span> <span class="toc-text">前言</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E8%8A%82-%E6%96%B9%E7%A8%8B%E7%BB%84%E4%B8%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E4%BA%92%E7%9B%B8%E8%BD%AC%E5%8C%96"><span class="toc-number">1.1.1.</span> <span class="toc-text">第一节
+方程组与矩阵的互相转化</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E8%8A%82-%E7%9F%A9%E9%98%B5%E7%9A%84%E5%9F%BA%E6%9C%AC%E8%BF%90%E7%AE%97"><span class="toc-number">1.1.2.</span> <span class="toc-text">第二节 矩阵的基本运算</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%89%E8%8A%82-%E6%B6%88%E5%85%83"><span class="toc-number">1.1.3.</span> <span class="toc-text">第三节 消元</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E5%9B%9B%E8%8A%82-%E7%A7%A9"><span class="toc-number">1.1.4.</span> <span class="toc-text">第四节 秩</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E7%AB%A0-%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95"><span class="toc-number">1.2.</span> <span class="toc-text">第二章 矩阵乘法</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E8%8A%82-%E4%BB%80%E4%B9%88%E6%98%AF%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95"><span class="toc-number">1.2.1.</span> <span class="toc-text">第一节 什么是矩阵乘法</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E8%8A%82-%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E4%B8%8E%E7%9F%A9%E9%98%B5%E9%80%92%E6%8E%A8"><span class="toc-number">1.2.2.</span> <span class="toc-text">第二节 初等矩阵与矩阵递推</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%AC%AC%E4%B8%89%E7%AB%A0-%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86"><span class="toc-number">1.3.</span> <span class="toc-text">第三章 矩阵的逆</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E8%8A%82-%E6%B5%85%E8%B0%88%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86"><span class="toc-number">1.3.1.</span> <span class="toc-text">第一节 浅谈矩阵的“逆”</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E8%8A%82-%E8%A1%8C%E5%88%97%E5%BC%8F"><span class="toc-number">1.3.2.</span> <span class="toc-text">第二节 行列式</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%89%E8%8A%82-%E4%BB%A3%E6%95%B0%E4%BD%99%E5%AD%90%E5%BC%8F"><span class="toc-number">1.3.3.</span> <span class="toc-text">第三节 代数余子式</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E5%9B%9B%E8%8A%82-%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86"><span class="toc-number">1.3.4.</span> <span class="toc-text">第四节 矩阵的逆</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%BA%94%E8%8A%82-%E8%A1%8C%E5%88%97%E5%BC%8F%E7%9A%84%E6%80%A7%E8%B4%A8"><span class="toc-number">1.3.5.</span> <span class="toc-text">第五节 行列式的性质</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%AC%AC%E5%9B%9B%E7%AB%A0-%E5%90%91%E9%87%8F%E7%A9%BA%E9%97%B4"><span class="toc-number">1.4.</span> <span class="toc-text">第四章 向量空间</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E8%8A%82-%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%90%91%E9%87%8F%E7%A9%BA%E9%97%B4"><span class="toc-number">1.4.1.</span> <span class="toc-text">第一节 欧几里得向量空间</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E8%8A%82-%E5%9F%BA%E5%BA%95%E5%BC%A0%E6%88%90%E4%B8%8E%E5%BC%A0%E9%9B%86"><span class="toc-number">1.4.2.</span> <span class="toc-text">第二节 基底、张成与张集</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%AC%AC%E4%B8%89%E8%8A%82-%E7%BA%BF%E6%80%A7%E5%9F%BA"><span class="toc-number">1.4.3.</span> <span class="toc-text">第三节 线性基</span></a></li></ol></li></ol></li></ol>
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+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
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+    if (!(document.querySelector(".highlight .code pre") ||
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+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
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+  function parallax(){
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+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
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+      Parallax.start();
+      index++;
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+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
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+  }
+</script>
+
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+  <script>
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+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
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+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
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+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial/","name":"线性代数 简明教程 一"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"线性代数 简明教程 一","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/linear-algebra-explicit-tutorial/","wordCount":0,"datePublished":"2024-01-21T12:45:07.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"算法,学术,数学,教程","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/magic-show-with-josephus/index.html b/magic-show-with-josephus/index.html
new file mode 100644
index 0000000000..e562042c85
--- /dev/null
+++ b/magic-show-with-josephus/index.html
@@ -0,0 +1,4318 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/magic-show-with-josephus/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>约瑟夫环——春晚魔术表演原理解析 - JustPureH2O的博客</title>
+  <meta name="keywords" content="整活,学术,数学,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="约瑟夫环——春晚魔术表演原理解析">
+<meta property="og:url" content="https://justpureh2o.github.io/magic-show-with-josephus/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="（操作没成功の尴尬，图片来自知乎） 前言 这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假 对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。 魔术步骤  四张牌面向下，并打乱。 对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌 （反过来">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-10T16:23:45.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="整活">
+<meta property="article:tag" content="学术">
+<meta property="article:tag" content="数学">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
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+      <h1 class="title" itemprop="name headline">
+        约瑟夫环——春晚魔术表演原理解析
+      </h1>
+      <div class='new-meta-box'>
+        
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+    <p itemprop="name">JustPureH2O</p>
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-10T16:23:45+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 10, 2024</p>
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+</div>
+
+          
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+      </div>
+    
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+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p><img src="https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567" class="lazyload" data-srcset="https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（操作没成功の尴尬，图片来自<a target="_blank" rel="noopener" href="https://www.zhihu.com/question/643785170/answer/3392131270?utm_psn=1739686324138045440" title="知乎">知乎</a>）</p>
+<h3 id="前言">前言</h3>
+<p>这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。<del>有一说一撒贝宁是真的会测假</del></p>
+<p>对应魔术节目：《守岁共此时》的回看请<a target="_blank" rel="noopener" href="https://chunwan.cctv.com/2024/dianbo/index.shtml?spm=C88599.PWGXKLPFsttR.E2wDlyDLim95.1" title="戳这里">戳这里</a>，在一小时十分整处。</p>
+<h3 id="魔术步骤">魔术步骤</h3>
+<ol type="1">
+<li>四张牌面向下，并打乱。</li>
+<li>对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（反过来折是为了方便撕开）。将左右手的两批牌按同一个方向叠在一起。</li>
+<li>根据自己名字的字数，从上端挨个拿出一个牌放到最底端，执行字数次。</li>
+<li>拿起最上面三张，插进其他牌的中间（意思是这三张看作一个整体，不能放在最上面或者最下面，必须夹在其他牌中间）。</li>
+<li>拿起最上边的牌，藏起来不要看<del>魔术常规操作之不要看</del>。</li>
+<li>继续从最上边拿牌：南方人拿一张、北方人拿两张、不确定就拿三张。然后像第四步那样插进中间位置。</li>
+<li>还是从最上边拿牌：男生拿一张、女生拿两张。然后将拿出的牌扔出去。</li>
+<li>「见证奇迹的时刻」——每一次操作，将最上边的牌移到最下边，每次仅移动一张牌，进行七次。</li>
+<li>「好运留下来，烦恼丢出去」——对于每次操作：第奇数次，将牌移到最下边；第偶数次，丢出去。最后直到只剩一张牌</li>
+<li>最后拿出藏起来的牌，如果你的名字在四个字及以内、且操作无误，你会发现这两张半牌是严丝合缝的，他们可以拼成一张牌！</li>
+</ol>
+<h3 id="列数模拟">列数模拟</h3>
+<p>先不管你拿了哪几张牌，也不管打乱前它们的先后顺序如何——因为它们都跟魔术本身、也和我们的推导无关。我们只着眼于打乱后的牌，将它们按照上下依次编号为1~4。如下图：</p>
+<p><code>1234</code></p>
+<p>沿折痕撕开，假设第1号牌撕成的两张半牌编号为1和A（数字在上字母在下），八张半牌叠在一起，得到的牌堆是这样的：</p>
+<p><code>1234ABCD</code></p>
+<p>接下来的推导就围绕上面这个牌堆开展。</p>
+<p>对应第三步——从上边拿出和自己名字字数相同的牌，放到最下边。假如我拿出三张，也就是编号为1、2、3的三张牌，放到最下边。牌堆变成这样：</p>
+<p><code>4ABCD123</code></p>
+<p>第四步——再拿出最上边三张牌，卡到中间去：</p>
+<p><code>CD4AB123</code></p>
+<p>第五步——藏起最上边的牌，也就是编号为C的牌。</p>
+<p>第六步——根据南北方人拿牌。<del>因为我祖籍北方出生在南方</del>，我这里就拿三张牌插入到中间位置（B和1之间）：</p>
+<p><code>ABCD4123</code></p>
+<p>我是男生，丢最上边的一张牌，也就是说丢出编号为A的那张（此时内心默默丢掉了两张牌）：</p>
+<p>男：<code>BCD4123</code> 女：<code>CD4123</code></p>
+<p>然后是见证奇迹的时刻。此时男生手里剩下7张牌、女生则是6张。这里其实无需说出那句咒语：如果你是男生，就不做操作；如果是女生，就将最上边的牌放到最下边。</p>
+<p>男：<code>BCD4123</code> 女：<code>D4123C</code></p>
+<p>最后是好运留下来、烦恼丢出去。按照规则，我们要轮流进行两个操作：移动最上边的牌到最下边、丢掉最上边的牌。如此操作直到只剩下一张牌。这其中涉及到一个知识点——<strong>约瑟夫环问题</strong></p>
+<h3 id="约瑟夫环问题">约瑟夫环问题</h3>
+<p><a target="_blank" rel="noopener" href="http://https://baike.baidu.com/item/%E7%BA%A6%E7%91%9F%E5%A4%AB%E9%97%AE%E9%A2%98" title="百度百科 约瑟夫问题">百度百科 约瑟夫问题</a></p>
+<p>简而言之，就是从特定编号出发，每经过<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个数便将此时的数字挑出，剩下的数重新编号（保证起始编号相同），问最后剩下的编号是什么。这个环节的操作在这个例子下可以被抽象成：从D开始，每两次操作，丢出第二张牌。</p>
+<p>也就是说，七个人围成一圈，“1、2、1、2……”的报数，最后剩下的是几号。这里有一个巧算的方法，适用于“1、2、1、2……”报数模型。首先找出不大于人数7的最大的2的整数幂，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.267ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 2770.1 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(533,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1214.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2270.1,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>，所以令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="13.01ex" height="1.717ex" role="img" focusable="false" viewBox="0 -677 5750.6 759"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(638.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1694.6,0)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g><g data-mml-node="mo" transform="translate(2416.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3417,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(4194.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(5250.6,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>。<strong>当最终剩下<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.152ex" height="1.932ex" role="img" focusable="false" viewBox="0 -853.7 951.4 853.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>个人的时候，第一个报数的就是最后一个被留下的</strong>，因此有公式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.993ex" height="1.715ex" role="img" focusable="false" viewBox="0 -676 4417 758"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(1083.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2083.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2861.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3917,0)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>对于男生，最后剩下的牌就是最下边的那一个，编号<code>3</code>。</p>
+<p>对于女生，剩下的是第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.731ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8278.9 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mo" transform="translate(1722.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(2111.4,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mo" transform="translate(2833.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3833.9,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(4333.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4945.1,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(5945.3,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(6723.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(7778.9,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>个，同样是<code>3</code>。</p>
+<p>拿出藏起来的牌C，我们开头就知道了：第三张牌被分成了3和C。也就是说它们可以拼合成同一张牌！魔术成功了！</p>
+<h3 id="回顾总结">回顾总结</h3>
+<p>不妨从一开始就观察<code>3</code>和<code>C</code>的变换规律，可以发现<code>3</code>号牌自从第三步结束后被移动到最下边以来就几乎没改变过位置；而前四步则是合力将<code>C</code>拉到了最前边好让它被顺利地挑出去。然而最为精妙的还是对“1、2、1、2……”报数约瑟夫环模型的应用。那么为什么尼格买提的操作会失败呢？看下图：</p>
+<p>如果你是罕见的“第三性别”，想要在第七步里面丢三张牌，也是可以的，因为这样并不会改变最后一张牌<code>3</code>。事实上，这个魔术最多可以在第七步丢掉七张牌，这样下来就只会剩下一张牌<code>3</code>，全部完成之后还是可以和<code>C</code>配对成功的。</p>
+<p><img src="https://pic.imgdb.cn/item/65c753f19f345e8d0372d304.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c753f19f345e8d0372d304.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>右上角是他的操作：他在“南方人和北方人”的操作里拿了三张牌，但是插入的时候错误将其中两张牌插到了最下边并且这两张牌和另外的那一张牌分开了（原规则是一起插到中间）。</p>
+<p>因此这堆牌的底端变成了<strong>黑桃Q</strong>，不久之前，他藏起了一张<strong>黑桃A</strong>。所以，他最后拿出的牌是对不上的，一张是黑桃A，一张是黑桃Q。</p>
+<p>下面是从班级群里偷的几张图，以实际证明这个理论是成功的：</p>
+<p><img src="https://pic.imgdb.cn/item/65c7596f9f345e8d0384ccf5.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c7596f9f345e8d0384ccf5.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>当然，如果就某位“客串见证人”的失误而大做文章的话，显然是极其招人嫌恶的。刘谦本人的魔术并没有什么问题，尼格买提可能也只是太过关注自己接下来在春晚上的表现而有些分神罢了。如果这个失误真的导致2025年春晚刘谦不被总导演邀请上台的话，这种毫无底线夸大其词的舆论只会是雪上加霜，让所有人更不好过而已……事后小尼本人也道了歉，因此已经没有必要再抓住谁人的过错不放，只是从科学的角度出发，论证这个魔术的成功之处。毕竟少有节目能如此调动起屏幕内外所有人的互动热情，如此看来，刘谦的魔术也是非常成功的了。</p>
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+      <ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%89%8D%E8%A8%80"><span class="toc-number">1.</span> <span class="toc-text">前言</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E9%AD%94%E6%9C%AF%E6%AD%A5%E9%AA%A4"><span class="toc-number">2.</span> <span class="toc-text">魔术步骤</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%88%97%E6%95%B0%E6%A8%A1%E6%8B%9F"><span class="toc-number">3.</span> <span class="toc-text">列数模拟</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%BA%A6%E7%91%9F%E5%A4%AB%E7%8E%AF%E9%97%AE%E9%A2%98"><span class="toc-number">4.</span> <span class="toc-text">约瑟夫环问题</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%9B%9E%E9%A1%BE%E6%80%BB%E7%BB%93"><span class="toc-number">5.</span> <span class="toc-text">回顾总结</span></a></li></ol>
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+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/magic-show-with-josephus/","name":"约瑟夫环——春晚魔术表演原理解析"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"约瑟夫环——春晚魔术表演原理解析","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/magic-show-with-josephus/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/magic-show-with-josephus/","wordCount":0,"datePublished":"2024-02-10T16:23:45.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"整活,学术,数学","image":{"@type":"ImageObject","url":"https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/memes/index.html b/memes/index.html
new file mode 100644
index 0000000000..fa059fb4d1
--- /dev/null
+++ b/memes/index.html
@@ -0,0 +1,4221 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/memes/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>高2023级一班热梗总结 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="高2023级一班热梗总结">
+<meta property="og:url" content="https://justpureh2o.github.io/memes/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="2023.9 1. 吃饱啦 九月初的某节语文课，当语文老师问及苏轼的个人形象时，国祯和小又肥同时说出了“优雅”二字，国祯更是以一个屁总结了自己的观点。此后不久，国祯和冰正在激烈地讨论老八秘制小汉堡的事情，正当所有人因为思考语文老师提出的问题而陷入短暂沉寂时，冰向后一靠，把手垫在脑后，说了一句：“吃饱啦！”。便如此得名。 2. 电饭煲 国祯表示历史老师长得很像电饭煲，于是得名 3. 干饭 9月4日，">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-11-04T16:33:30.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
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+        高2023级一班热梗总结
+      </h1>
+      <div class='new-meta-box'>
+        
+          
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+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
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+          
+        
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-04T16:33:30+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 4, 2023</p>
+  </a>
+</div>
+
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+  <div id="post-body" itemprop="articleBody">
+    <h3 id="section">2023.9</h3>
+<h4 id="吃饱啦">1. 吃饱啦</h4>
+<p>九月初的某节语文课，当语文老师问及苏轼的个人形象时，国祯和小又肥同时说出了“优雅”二字，国祯更是以一个屁总结了自己的观点。此后不久，国祯和冰正在激烈地讨论老八秘制小汉堡的事情，正当所有人因为思考语文老师提出的问题而陷入短暂沉寂时，冰向后一靠，把手垫在脑后，说了一句：“吃饱啦！”。便如此得名。</p>
+<h4 id="电饭煲">2. 电饭煲</h4>
+<p>国祯表示历史老师长得很像电饭煲，于是得名</p>
+<h4 id="干饭">3. 干饭</h4>
+<p>9月4日，一班真正意义上进行了一次以教室为起点的干饭行动，基本上一分钟内能够到达食堂。</p>
+<h4 id="global-reading">4. Global Reading</h4>
+<p>张伟水课的新型套路——不讲正课天天喊我们拿出Global
+Reading来看，久而久之成为英语课和扣分的代名词。</p>
+<h4 id="手套月饼">5. 手套月饼</h4>
+<p>9月28日周四晚，东辰组织制作月饼，有人在月饼里放狠料<del>咖啡粉、硬币、长尾夹（后被取出）</del>。事后国祯将此事传开，被茂华得知，被张伟处分。</p>
+<h4 id="巨人熊猫孔子牙膏富兰克林酱香瑞幸">6.
+巨人熊猫，孔子牙膏（富兰克林，酱香瑞幸）</h4>
+<p>张伟最爱罚背的几篇Global
+Reading上的文章，国庆放假前被总结为这句口头禅</p>
+<h3 id="section-1">2023.10</h3>
+<h4 id="奖励">7. 奖励</h4>
+<p>张伟扣分前的口头禅，后演变为罚背的代名词</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
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+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
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+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
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+      <ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#section"><span class="toc-number">1.</span> <span class="toc-text">2023.9</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%90%83%E9%A5%B1%E5%95%A6"><span class="toc-number">1.1.</span> <span class="toc-text">1. 吃饱啦</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%94%B5%E9%A5%AD%E7%85%B2"><span class="toc-number">1.2.</span> <span class="toc-text">2. 电饭煲</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%B9%B2%E9%A5%AD"><span class="toc-number">1.3.</span> <span class="toc-text">3. 干饭</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#global-reading"><span class="toc-number">1.4.</span> <span class="toc-text">4. Global Reading</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%89%8B%E5%A5%97%E6%9C%88%E9%A5%BC"><span class="toc-number">1.5.</span> <span class="toc-text">5. 手套月饼</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%B7%A8%E4%BA%BA%E7%86%8A%E7%8C%AB%E5%AD%94%E5%AD%90%E7%89%99%E8%86%8F%E5%AF%8C%E5%85%B0%E5%85%8B%E6%9E%97%E9%85%B1%E9%A6%99%E7%91%9E%E5%B9%B8"><span class="toc-number">1.6.</span> <span class="toc-text">6.
+巨人熊猫，孔子牙膏（富兰克林，酱香瑞幸）</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#section-1"><span class="toc-number">2.</span> <span class="toc-text">2023.10</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%A5%96%E5%8A%B1"><span class="toc-number">2.1.</span> <span class="toc-text">7. 奖励</span></a></li></ol></li></ol>
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+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"高2023级一班热梗总结","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/memes/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/memes/index.html","wordCount":0,"datePublished":"2023-11-04T16:33:30.000Z","dateModified":"2024-02-16T08:47:56.990Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/misc/index.html b/misc/index.html
new file mode 100644
index 0000000000..0faeaa0062
--- /dev/null
+++ b/misc/index.html
@@ -0,0 +1,4201 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/misc/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>机房管理助手 v9.x已成功破解 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="机房管理助手 v9.x已成功破解">
+<meta property="og:url" content="https://justpureh2o.github.io/misc/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="任务管理器已解禁，您也可以自由使用注册表和组策略进行其他操作">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-12-24T08:45:33.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=' no_sidebar'>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/misc/index.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        机房管理助手 v9.x已成功破解
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-12-24T08:45:33+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Dec 24, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <div class="story post-story"><h2 id="任务管理器已解禁您也可以自由使用注册表和组策略进行其他操作">任务管理器已解禁，您也可以自由使用注册表和组策略进行其他操作</h2>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+</div>
+  </div>
+  
+  
+    
+    <div class='footer'>
+       <!-- 参考资料、相关资料等 -->
+      
+       <!-- 相关文章 -->
+      
+      <!-- 版权声明组件 -->
+      
+      <!-- 打赏组件 -->
+      
+    </div>
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/misc/index.html&title=机房管理助手 v9.x已成功破解 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/misc/index.html&title=机房管理助手 v9.x已成功破解 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/misc/index.html&title=机房管理助手 v9.x已成功破解 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
+  
+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
+
+
+
+
+
+  <div id="lv-container" data-id="city" data-uid="MTAyMC81OTUxMS8zNTk3Mw==">
+	<script type="text/javascript">
+   (function(d, s) {
+       var j, e = d.getElementsByTagName(s)[0];
+
+       if (typeof LivereTower === 'function') { return; }
+
+       j = d.createElement(s);
+       j.src = 'https://cdn-city.livere.com/js/embed.dist.js';
+       j.async = true;
+
+       e.parentNode.insertBefore(j, e);
+   })(document, 'script');
+	</script>
+<noscript> 为正常使用来必力评论功能请激活JavaScript</noscript>
+</div>
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"机房管理助手 v9.x已成功破解","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/misc/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/misc/index.html","wordCount":0,"datePublished":"2023-12-24T08:45:33.000Z","dateModified":"2024-02-16T08:47:56.990Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/new-year-crack/index.html b/new-year-crack/index.html
new file mode 100644
index 0000000000..932f4a77bd
--- /dev/null
+++ b/new-year-crack/index.html
@@ -0,0 +1,4616 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/new-year-crack/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
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+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>2023年度总结——机房管理软件的破解经验 - JustPureH2O的博客</title>
+  <meta name="keywords" content="整活,学术,破解,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="2023年度总结——机房管理软件的破解经验">
+<meta property="og:url" content="https://justpureh2o.github.io/new-year-crack/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码 极域——世界上最弱小最单纯的机房软件 注意，极域由C&#x2F;C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。 开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输出，结">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-12-31T20:22:54.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="整活">
+<meta property="article:tag" content="学术">
+<meta property="article:tag" content="破解">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
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+}
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+}
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+}
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+  margin-bottom: 100px;
+}
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+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
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+}
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+}
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+}
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+  vertical-align: middle;
+}
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+}
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+}
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+}
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+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
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+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        2023年度总结——机房管理软件的破解经验
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
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+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Dec 31, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
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+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p><img src="https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><strong>文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/paste/nd8jfeoe">云剪贴板</a>来复制代码</strong></p>
+<h3 id="极域世界上最弱小最单纯的机房软件">极域——世界上最弱小最单纯的机房软件</h3>
+<p><strong>注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。</strong></p>
+<p>开始的开始，我的脱控方式还仅限于最原始的<code>taskkill</code>和<code>ntsd</code>。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输出，结果自然是被班主任教训一顿、这学期的信息课停上。</p>
+<p>令人欣慰的是：这种低级脱控方式已经在学子之间渐渐隐没不见，取而代之的是层出不穷的脱控软件，例如<code>JYTrainer</code>、还有本人开发的<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/paste/nd8jfeoe">ClassX</a>（doge）等等……</p>
+<p>因为本人不会那些所谓的网络IP、频道更改之类的高科技东西，另一方面实现如上的功能多半需要辅助程序（容易被反脱软件检测到进程名）。本着精简实现、不易查封的原则，我从非<code>exe</code>层面出发，编写了一套脱控程序供大家伙们免费使用，毕竟人生苦短，及时行乐嘛（doge）。</p>
+<h4 id="板块一-td到底是啥的缩写">板块一 TD到底是啥的缩写？</h4>
+<p>你知道明明U盘里装着几个G的学习资料却无法在计算机课上给周边的同学炫耀是怎么样一种感觉吗？你知道明明想要打开小破站观看最爱的coser投稿的新擦边视频却被提示“该网站已被禁止”是什么样的感觉吗？</p>
+<p>出于以上两种痛苦的经历，我立志要写出能够禁止极域牛马功能的脚本。就先从U盘解禁和网络解禁两个方面入手！</p>
+<p><strong>Windows服务概述</strong>：打开任务管理器，选项卡里不仅有经典的“进程”选项、也有装机大佬们引以为傲的“性能”选项，可是我们今天的主角：“服务”选项却几乎无人问津。</p>
+<p>类似于<code>cmd</code>的打开方式，服务管理器则需要在<code>Win+R</code>后输入<code>services.msc</code>来使用；你也可以通过任务管理器“服务”选项卡进入。那么什么是服务呢？</p>
+<p>Windows服务是指系统自动完成的，不需要和用户交互的过程，可长时间运行的可执行应用程序。这些服务可以在计算机启动时自动启动，可以暂停和重新启动而且不显示任何用户界面。一个词概括就是：“幕后黑手”。开头立的flag就需要通过这种方式巧妙解决。</p>
+<p>定位到极域安装目录：会发现下面有好多<code>TD</code>打头的文件，而当你在服务里面搜索时，你会发现一个惊人的巧合：<code>TDNetFilter</code>和<code>TDFileFilter</code>早已在你的机器上悄然运行了很久。看到它的名字，容易知道前者禁掉了你的网络、后者ban掉了你的U盘。如何终止服务呢？这也非常的简单：</p>
+<p>在Windows系统中，与服务有关的命令是<code>sc</code>。要想停止某个服务，只需安装如下模式输入指令：<code>sc stop [NAME]</code>（<code>NAME</code>是服务名称）。于是我在<code>ClassX</code>的开头加入了如下的指令：</p>
+<pre class="line-numbers language-none"><code class="language-none">sc stop tdnetfilter
+sc stop tdfilefilter<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<p>这样就结束了吗？然而并没有……</p>
+<h4 id="板块二-可疑的程序">板块二 可疑的程序</h4>
+<p>上一节里遗留了一个小问题：停止了服务后他就真的解禁了吗？事实并非如此：没过几秒，你的网络又会恢复到先前的状态、U盘再次被封杀。一切的一切都是因为两个不起眼的可疑程序……</p>
+<p><code>ProcHelper64.exe</code>和<code>MasterHelper.exe</code>——《我们俩》</p>
+<p>有人问我当时是怎么发现的。首先需要知道，每个版本的Windows系统几乎都有一套特别的图标主题（图标存放在<code>Shell32.dll</code>中），现如今大部分机房电脑使用的是Win10系统，然而上述两个进程使用的是WinXP风格的图标，直接一眼丁真掏出<code>taskkill</code>秒了。<del>真是实力坑队友</del>。</p>
+<p>因此<code>ClassX</code>里面还有这一段代码：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini">:a
+taskkill /f /t /im ProcHelper64.exe
+taskkill /f /t /im MasterHelper.exe
+
+goto a<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><code>:a</code>定义了一个函数<code>a</code>，中间是函数体，最后一行的<code>goto a</code>则是调用这个函数，注意<code>goto a</code>写在了<code>a</code>函数内部，起到了<code>while (true) {...}</code>的死循环作用。你也可以在空行出添加一段<code>TIMEOUT /T 1</code>，即延时一秒，因为这两个程序的复活时间大概在1秒左右（终止后一秒就会重启）。</p>
+<h4 id="板块三-拒绝访问什么鬼">板块三 拒绝访问什么鬼？</h4>
+<h5 id="第一种情况钩子程序">第一种情况：钩子程序</h5>
+<p>如果你是Win7及以下的系统，且直接使用任务管理器结束进程，那么很有可能会出现像标题这样的提示。这是因为极域启动了一个<strong>系统钩子</strong>（四川人莫笑，<code>Hook</code>翻译过来的确是钩子的意思）。</p>
+<p><strong>Windows钩子概述</strong>：类似于游戏（<del>以及Scratch</del>）的消息机制，Windows中存在一种事件系统，<code>Win+R</code>弹出运行、输入<code>eventvwr.exe</code>/<code>eventvwr.msc</code>打开事件管理器，你会看到本机所有事件的发生时间及概况。把Windows系统的事件系统比作一条河流，最上游是系统，负责抛出事件，事件信息顺流而下；把应用程序比作渔夫，它们在河岸两侧用网捞特定类型的事件，大多数情况下自行处理后再放回到河中。</p>
+<p>对于极域来说，它在一个名叫<code>NtTerminateProcess</code>的系统函数上下钩，检测这个函数的传入信息，即终止对象的进程名，是否是<code>StudentMain.exe</code>（极域主程序），若是，就返回<code>false</code>，也就是失败。因而导致开头所说拒绝访问的情况，而把钩子钩在此处的，就是我们的<code>TD</code>圈大佬<code>LibTDProcHook.dll</code>。因为本人使用Win10系统，这个钩子对于Win7以后的系统都会失效，因此Win8/10/11用户可以直接用任务管理器。对于Win7系统用户，在这里使用WinAPI终止这个TD模块。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;windows.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;tlhelp32.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;processthreadsapi.h&gt;</span></span>
+
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+DWORD <span class="token function">GetPID</span><span class="token punctuation">(</span><span class="token keyword">const</span> <span class="token keyword">char</span><span class="token operator">*</span> proc<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	PROCESSENTRY32 entry<span class="token punctuation">;</span>
+	entry<span class="token punctuation">.</span>dwSize <span class="token operator">=</span> <span class="token keyword">sizeof</span><span class="token punctuation">(</span>PROCESSENTRY32<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	HANDLE snapshot <span class="token operator">=</span> <span class="token function">CreateToolhelp32Snapshot</span><span class="token punctuation">(</span>TH32CS_SNAPPROCESS<span class="token punctuation">,</span> <span class="token constant">NULL</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	
+	<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">Process32First</span><span class="token punctuation">(</span>snapshot<span class="token punctuation">,</span> <span class="token operator">&amp;</span>entry<span class="token punctuation">)</span> <span class="token operator">==</span> TRUE<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token function">Process32Next</span><span class="token punctuation">(</span>snapshot<span class="token punctuation">,</span> <span class="token operator">&amp;</span>entry<span class="token punctuation">)</span> <span class="token operator">==</span> TRUE<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">stricmp</span><span class="token punctuation">(</span>entry<span class="token punctuation">.</span>szExeFile<span class="token punctuation">,</span> proc<span class="token punctuation">)</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				HANDLE hProc <span class="token operator">=</span> <span class="token function">OpenProcess</span><span class="token punctuation">(</span>PROCESS_ALL_ACCESS<span class="token punctuation">,</span> FALSE<span class="token punctuation">,</span> entry<span class="token punctuation">.</span>th32ProcessID<span class="token punctuation">)</span><span class="token punctuation">;</span>
+				DWORD pid <span class="token operator">=</span> <span class="token function">GetProcessId</span><span class="token punctuation">(</span>hProc<span class="token punctuation">)</span><span class="token punctuation">;</span>
+				<span class="token function">CloseHandle</span><span class="token punctuation">(</span>hProc<span class="token punctuation">)</span><span class="token punctuation">;</span>
+				<span class="token keyword">return</span> pid<span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	HMODULE hook <span class="token operator">=</span> <span class="token function">GetModuleHandle</span><span class="token punctuation">(</span><span class="token string">"LibTDProcHook64.dll"</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token function">FreeModule</span><span class="token punctuation">(</span>hook<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	HANDLE handle <span class="token operator">=</span> <span class="token function">OpenProcess</span><span class="token punctuation">(</span>PROCESS_TERMINATE<span class="token punctuation">,</span> FALSE<span class="token punctuation">,</span> <span class="token function">GetPID</span><span class="token punctuation">(</span><span class="token string">"StudentMain.exe"</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token function">TerminateProcess</span><span class="token punctuation">(</span>handle<span class="token punctuation">,</span> <span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<h5 id="第二种情况时代变了">第二种情况：时代变了</h5>
+<p>自从学校机房的极域从2014版更新到了2020版，上述朴素解决方案已经不见效了。我也不知道从哪一年的版本开始，它给自己的服务加了一层防护，普通地运行<code>bat</code>脚本还木有用。但是它解决起来也简单，右键文件“以管理员模式运行”即可。</p>
+<p>除此之外，你还可以在脚本开头加入：</p>
+<pre class="line-numbers language-powershell" data-language="powershell"><code class="language-powershell">&gt;nul 2&gt;&amp;1 <span class="token string">"%SYSTEMROOT%\System32\cacls.exe"</span> <span class="token string">"%SYSTEMROOT%\System32\config\system"</span>
+ 
+ 
+<span class="token keyword">if</span> <span class="token operator">%</span>errorlevel% == 0 <span class="token punctuation">(</span>
+    <span class="token function">echo</span> Admin Switched!
+<span class="token punctuation">)</span> <span class="token keyword">else</span> <span class="token punctuation">(</span>
+    <span class="token function">echo</span> Level Ascending<span class="token punctuation">.</span><span class="token punctuation">.</span><span class="token punctuation">.</span> Restart
+ 
+    powershell <span class="token operator">-</span>command <span class="token string">"Start-Process '%0' -Verb RunAs"</span>
+    <span class="token keyword">exit</span>
+<span class="token punctuation">)</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>来实现UAC自动提权管理员！</p>
+<h4 id="板块四-挂起进程">板块四 挂起进程</h4>
+<p><del>有一天我的同学给我推荐了这个方法，说是用一个命令行程序<code>Suspend</code>来命令层面挂起极域进程实现随意脱控，亲测有效。如果使用性能监视器也可以达到相同效果。</del></p>
+<h5 id="挂起为何物">挂起为何物？</h5>
+<p>大家可能有过这样的经历：当你用WPS做PPT或者正在用WPS演示PPT时，有时它会莫名其妙地卡掉，尤其是你画了太多墨迹注释时，看着永不停歇转动的“繁忙”鼠标图标，你也许会耐不住性子直接任务管理器结束进程，<del>并发誓要下载一个破解版的微软Office全家桶来用</del>。像这样，程序的卡死就是挂起的一个形式，当然，当CPU面临有限的内存分配问题时，它会优先分配运存给那些需要内存的重要程序而把不那么重要的进程挂起，表现为对用户操作无响应等。</p>
+<p>那么你可能已经猜到了这一方法的逻辑了：我们挂起极域主进程。这样当教师端发送指令（黑屏安静、全屏广播等）时，你这边的极域接收端（学生端）就无法对指令作出响应，自然也就不会被控制。桌面监控同理，也会被影响，不同的是，教师端的监控小窗只会定格在你挂起极域前传输过来的最后一帧画面，总之瞒天过海是基本上没问题的了……</p>
+<p>根据上述原理，我们有两种方式来挂起一个进程（其实本来还有Win32API这种方法，留给读者自行研究）：</p>
+<h5 id="第一种-性能监视器">第一种 性能监视器</h5>
+<p>你可以打开任务管理器，在“性能”一栏的左下角可以看到“性能监视器”选项（Win10），对于Win11用户，则需点击“性能”栏右上角三个点，然后选中“性能监视器”；也可以<code>Win+R</code>输入<code>perfmon.exe /res</code>直接打开（万能）。还有几种方法见<a target="_blank" rel="noopener" href="https://jingyan.baidu.com/article/ae97a646b689aafafc461d60.html">百度百科</a>。</p>
+<p>在性能监视器中，我们在最上面“进程”列表中找到<code>StudentMain.exe</code>（一般来说有两个同样的进程），接着挨个右键点击“暂停进程（S）”即可。</p>
+<p><img src="https://pic.imgdb.cn/item/65991be5871b83018acf5b30.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65991be5871b83018acf5b30.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>但是这样的话，你在教师端那边的小窗口上就会显示出一个性能监视器的窗口，感觉不太完美，怎么能优化一下呢？</p>
+<h5 id="第二种-suspend命令行">第二种 Suspend命令行</h5>
+<p><a target="_blank" rel="noopener" href="https://www.onlinedown.net/soft/10001768.htm">这里可以下载</a></p>
+<p>下载后的压缩文件里面有一个<code>.cmd</code>文件，用记事本打开：</p>
+<pre class="line-numbers language-batch" data-language="batch"><code class="language-batch"><span class="token command"><span class="token keyword">chcp</span> <span class="token number">65001</span></span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">set</span> suspend_targets=osu!.exe DDLC.exe</span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">suspend</span>.exe <span class="token variable">%suspend_targets%</span></span>
+<span class="token command"><span class="token keyword">pause</span></span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">suspend</span>.exe <span class="token parameter attr-name">-r</span> <span class="token variable">%suspend_targets%</span></span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>其实我们真正需要修改的内容是第二行：它使用<code>bat</code>批处理脚本设置变量<code>suspend_targets</code>，传入需要挂起进程的进程名称<del>话说DDLC是真的生草……</del>。这里我们修改参数值为<code>StudentMain.exe</code>：</p>
+<pre class="line-numbers language-batch" data-language="batch"><code class="language-batch"><span class="token command"><span class="token keyword">chcp</span> <span class="token number">65001</span></span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">set</span> suspend_targets=StudentMain.exe</span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">suspend</span>.exe <span class="token variable">%suspend_targets%</span></span>
+<span class="token command"><span class="token keyword">pause</span></span>
+<span class="token operator">@</span><span class="token command"><span class="token keyword">suspend</span>.exe <span class="token parameter attr-name">-r</span> <span class="token variable">%suspend_targets%</span></span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><code>pause</code>之后的那一行是解除挂起的代码，因为<code>bat</code>执行到<code>pause</code>语句后会等待用户输入任意字符后才继续进行，因此如果遇到紧急情况需要解除挂起，只需在命令行窗口点击任意键即可。</p>
+<p>需要注意的是，一定要把下载好的压缩包里面的所有文件放到同一个目录下，否则缺失任何文件这个工具都是无法正常运行的。</p>
+<h4 id="板块五-留给2024的一个小问题">板块五 留给2024的一个小问题</h4>
+<p>那天我在思考如何一劳永逸的结束极域进程，我打开了服务列表，在里面看到两个纯大写拼成的服务名<code>GATESRV</code>和<code>STUDSRV</code>。可惜的是那天放学，我没能来得及探究清楚这两个服务与极域的关系，目前已知的信息就是它们绝对是极域自己启动的两个服务。</p>
+<p>这个问题就留给2024的我解决吧</p>
+<p>// TODO</p>
+<h3 id="红蜘蛛软件可曾听闻我绿蜘蛛脚本的厉害">红蜘蛛软件——可曾听闻我绿蜘蛛脚本的厉害？</h3>
+<p>在本人印象中，红蜘蛛似乎就仅仅只是一个吉祥物，只有在开机后那么几秒，它拖着上世纪复古风的“高清”启动界面在我的眼前一闪而过，然后静静地躲在任务栏的小图标里，践行它大隐隐于市的人生信条……</p>
+<p>说实话要不是同学提醒我还真忘了机房里还有这位叫红蜘蛛的朋友，于是我着手开始破解它。<del>红蜘蛛：我吃柠檬</del></p>
+<h4 id="这玩意怎么跟2345一个德行">1. 这玩意怎么跟2345一个德行？</h4>
+<p>知道2345全家桶的同学们肯定对它恨之入骨，尤其是那些下载了2345的同学们。2345号称天朝第一大流氓软件，在无数人的电脑中如同鬼魂一般挥之不去。捆绑安装、弹窗广告、强制修改系统文件、浏览器劫持……无奇不有，关键是它的公司甚至推出极其出生的“推广包”机制来诱惑不良商户分发2345毒瘤软件。<a target="_blank" rel="noopener" href="https://zhuanlan.zhihu.com/p/256170072">这篇文章</a>介绍了清除2345的一种方案。</p>
+<p>回到本节主题上来，为什么会取这样一种怨气十足的标题呢？是因为它和2345伪装成系统文件类似，红蜘蛛属于是反向利用了系统文件来给自己加上一层保护网。</p>
+<p>打开任务管理器，除了霸占后台程序第一行的红蜘蛛本体，下面还有两个附属程序，名叫“3000soft通用组件”，如果直接终止进程，它很快会再次冒出来。将它们展开后发现叫做<code>checkrs.exe</code>和<code>rscheck.exe</code>的程序。那么运用上边经常用到的服务搜查法，我们发现了两个命名规则极其相似的服务：<code>appcheck2</code>和<code>checkapp2</code>。</p>
+<p><img src="https://pic.imgdb.cn/item/659143adc458853aefe98c57.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/659143adc458853aefe98c57.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><del>然而我事后才发现<a target="_blank" rel="noopener" href="http://www.3000soft.net/products/redspider-firewall.htm">红蜘蛛官网</a>早已自报家门了……血亏！</del></p>
+<p>常规思想：我们使用<code>sc</code>命令结束这两个服务，然而……</p>
+<p>// TODO</p>
+<p>显示无法停止，那怎么办呢？</p>
+<p>考虑到这两个进程是红蜘蛛死掉后无限重启的命根，并且这两个进程也跟红蜘蛛主程序一样杀了就会重启……很明显，根本原因就是那两个服务，但是<code>sc</code>命令不管用了，咋办呢？（抠头）</p>
+<p>这时我们就需要绕道而行，既然命令不行，我们转战注册表！打开注册表管理器，定位到<code>HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Services</code>文件夹，它有很多个子文件夹，在下面定位到<code>appcheck2</code>和<code>checkapp2</code>，它的文件结构类似于这样（这里用别的服务替代一下）：</p>
+<p><img src="https://pic.imgdb.cn/item/65914643c458853aeff1f9f7.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65914643c458853aeff1f9f7.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（注意，这个并不是红蜘蛛的服务，是我临时找别的替代的，它们的文件名相同，只是数据不同而已）</p>
+<p>容易发现：<code>ImagePath</code>项指向了服务的根文件地址，也就是俗称的万恶之源，既然每次终止组件后它会自动重启服务，那我们为何不破坏这个<code>ImagePath</code>，让它指向一个不存在的地址，这样它就启动不了任何东西了。在我的绿蜘蛛<code>inf</code>文件里如此写到：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Version</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">Signature</span><span class="token punctuation">=</span><span class="token value attr-value">"<span class="token inner-value">$CHICAGO$</span>"</span>
+<span class="token key attr-name">Provider</span><span class="token punctuation">=</span><span class="token value attr-value">justpureh2o@outlook.com, 2023</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">DefaultInstall</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">DelReg</span><span class="token punctuation">=</span><span class="token value attr-value">Delete</span>
+<span class="token key attr-name">AddReg</span><span class="token punctuation">=</span><span class="token value attr-value">RedSpiderService.ValueModify</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">RedSpiderService.ValueModify</span><span class="token punctuation">]</span></span>
+HKLM,"SYSTEM\CurrentControlSet\Services\appcheck2","ImagePath",0,"C:\Windows\SysWOW64\rschck.exe"
+HKLM,"SYSTEM\CurrentControlSet\Services\checkapp2","ImagePath",0,"C:\Windows\SysWOW64\chekrs.exe"
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>然后你就可以用任务管理器终止两个通用组件，紧接着就可以终止红蜘蛛了！</p>
+<p>由于本人目前对红蜘蛛知之甚少，可以看<a target="_blank" rel="noopener" href="https://blog.csdn.net/u013731154/article/details/116714463">这篇文章</a>了解更多！</p>
+<h3 id="学生机房管理助手闻着臭吃着香">学生机房管理助手——闻着臭吃着香</h3>
+<h4 id="不用逆向能得到什么结论">1. 不用逆向，能得到什么结论？</h4>
+<p>其实一开始我以为它和极域一样是基于C++/C开发的因此无法反编译，直到回家之后我自己下载了一个。杀毒软件报毒删除了<code>set.exe</code>，打开<code>main.exe</code>主入口程序时它突然弹出了一条C#式的通知框提示<code>set.exe</code>未找到。于是果断打开dnSpy开启后面的破解，反编译破解的内容将在后面涉及到。</p>
+<p>首先看到他的文件目录↓</p>
+<p><img src="https://pic.imgdb.cn/item/658fd722c458853aef07a8f4.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/658fd722c458853aef07a8f4.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>其中<code>zy</code>文件夹中存放的是各种浏览器的<code>exe</code>可执行文件，猜测是覆盖现有的高版本浏览器，以便它操作注册表禁止各种功能。</p>
+<p>有一定经验的同学想必会一眼看到可疑的<code>yl.reg</code>注册表文件，但是先别急着合并注册表。首先，你的机器可能已经被禁用了注册表和任务管理器；第二，这个文件里也不是你心心念念的破解注册表（虽然后面我们会利用它破解机房管理助手）。对于未知的事物，最好还是保持谨慎勿近的态度为好……</p>
+<p>除此之外，一个名叫<code>jfglzs.exe</code>的程序吸引了我，根据我多年混迹于首拼梗圈的我一秒钟就反应过来，知道它就是“机房管理助手”的首拼。我们之后的破解也围绕着这个东西进行。</p>
+<h5 id="第一问-任务管理器注册表组策略咋解">第一问
+任务管理器、注册表、组策略咋解</h5>
+<p><img src="https://pic.imgdb.cn/item/65914280c458853aefe5bbbb.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65914280c458853aefe5bbbb.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><del>本人Win11系统，正常情况下任务栏设置上端会有一个任务管理器选项。</del></p>
+<p>如果你稍微懂一点高级知识，你也许会使用<code>Win+R</code>，并输入<code>taskmgr</code>试图使用任务管理器。然而这不可能奏效，因为你会接到一则提示：</p>
+<p><img src="https://pic.imgdb.cn/item/659142d0c458853aefe6c12f.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/659142d0c458853aefe6c12f.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>输入<code>regedit</code>（注册表）和<code>gpedit.msc</code>（组策略管理器）也是一样的道理。很少很少的高材生会使用<code>mmc</code>试图加载组策略，但是这样也不可能奏效。搜索资料发现，修改注册表的某些键值可以实现禁用组策略、注册表、任务管理器的功能。深度分析<code>yl.reg</code>时就会发现这些东西：</p>
+<p><img src="https://pic.imgdb.cn/item/659142eec458853aefe71e3e.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/659142eec458853aefe71e3e.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>第一行翻译过来就是：“禁用任务管理器”，它的值被设置成了<code>1</code>，也就是<code>true</code>。这一块还有禁止更改密码、禁止切换用户的设置等等。对于组策略，它的两个值则是存放在注册表：<code>HKEY_CURRENT_USER\Software\Policies\Microsoft\MMC</code>中的<code>RestrictToPermittedSnapins</code>；和它的子目录<code>HKEY_CURRENT_USER\Software\Policies\Microsoft\MMC\{8FC0B734-A0E1-11D1-A7D30000F87571E3}</code>中的<code>Restrict_Run</code>。如果不出意外，它们的值都是非零的，意味着组策略被禁用了。<strong>要想破解，我们就需要用一个不直接调用注册表的方式来添加/更改注册表值</strong>，这也就是下面将要提出的<code>inf</code>安装文件法。</p>
+<p><strong>INF安装文件的机制</strong></p>
+<p>提起绿色版软件，大家应该不会陌生，它省去了冗杂的<code>dll</code>等库文件，仅仅一个<code>exe</code>文件驱动整个程序。在绿色版软件安装时，有时就是用的<code>inf</code>文件安装法。一个可运行的<code>inf</code>文件包含几个项：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Version</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">Signature</span><span class="token punctuation">=</span><span class="token value attr-value">"<span class="token inner-value">$CHICAGO$</span>"</span>
+<span class="token key attr-name">Provider</span><span class="token punctuation">=</span><span class="token value attr-value">somebody</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
+<p><code>Version</code>段包含<code>inf</code>文件的基本信息，其中<code>Signature</code>指定了文件的适用系统，常见的值有<code>MS</code>、<code>WindowsNT</code>等，这里我们使用<code>CHICAGO</code>获得最广泛的支持（注意美元符号和引号的书写）。</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">DefaultInstall</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">DelReg</span><span class="token punctuation">=</span><span class="token value attr-value">Delete</span>
+<span class="token key attr-name">AddReg</span><span class="token punctuation">=</span><span class="token value attr-value">Add</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
+<p>这一段声明了安装时所需的函数，<code>DelReg</code>负责删除注册表，<code>AddReg</code>负责创建/修改注册表。基本语法如下：</p>
+<p><code>DelReg</code>：<code>[ROOT] [PATH] [NAME]</code>，<code>ROOT</code>就是注册表中<code>HKEY</code>开头的那些，你可以写全称，也可以写缩写形式（<code>HK</code>+后两个单词的首字母，<code>HKEY_LOCAL_MACHINE=HKLM</code>）；<code>PATH</code>是包含指定键值的文件夹路径；<code>NAME</code>就是键值的名字。</p>
+<p><code>AddReg</code>：<code>[ROOT] [PATH] [NAME] [TYPE] [VALUE]</code>，<code>TYPE</code>指定了注册表值的类型（<code>0</code>相当于缺省，默认字符串；<code>1</code>为<code>DWORD</code>值，设置十六进制值时只需两个数字一组，中间逗号分隔开，一定保证输入的十六进制为8位，一定记得写前导0！）；<code>VALUE</code>即为键值，值为字符串时需要在前后打上半角双引号。</p>
+<p>等号右侧的值相当于C++中的<code>typedef</code>，用来重命名函数，因此，在后续的安装代码中，我们的字段标识符都要与等号右侧的值相符才可，在我们的<code>inf</code>中，它表现为这样（<code>inf</code>文件的注释用分号表示）：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span>
+HKCU,"Software\Policies\Microsoft\MMC","RestrictToPermittedSnapins"
+HKCU,"Software\Policies\Microsoft\MMC\{8FC0B734-A0E1-11D1-A7D30000F87571E3}","Restrict_Run"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span>
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableRegistryTools"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableTaskMgr"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableChangePassword"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableCMD"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span>
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableSwitchUserOption"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","HideFastUserSwitching"<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>在记事本里编辑即可，记得保存为<code>.inf</code>文件，而后右键“安装”，或者在<code>cmd</code>里运行：<code>InfDefaultInstall + inf文件地址</code>（前提是你的<code>cmd</code>没被禁止）。</p>
+<p>除此之外，我们发现了一些好玩的东西：<code>yl.reg</code>的最后几十行，将常用浏览器的起始界面通过注册表的方式修改成了它的官网，学有余力的娃们可以通过刚才介绍的<code>AddReg</code>函数把它的值改成你想要的值，在这里我换成了我精心制作的嘲讽页面：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Add</span><span class="token punctuation">]</span></span>
+HKLM,"SOFTWARE\Policies\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKLM,"SOFTWARE\Microsoft\Internet Explorer\MAIN","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKLM,"SOFTWARE\Microsoft\Internet Explorer\MAIN","First Home Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKLM,"SOFTWARE\Wow6432Node\Baidu\BaiduProtect\LockIEStartPage","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKLM,"SOFTWARE\Wow6432Node\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKLM,"SOFTWARE\Wow6432Node\Software\Microsoft\Internet Explorer\Main","Default_Page_URL",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKEY_USERS,".DEFAULT\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKEY_USERS,".DEFAULT\Software\Microsoft\Internet Explorer\Main","First Home Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKEY_USERS,"S-1-5-18\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"
+HKEY_USERS,"S-1-5-18\Software\Microsoft\Internet Explorer\Main","First Home Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23"<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><del><code>yl.reg</code>——队友坑害全队的典型例子。</del></p>
+<p>当一切完成之后，你就可以自由使用任务管理器了，被锁定了<code>cmd</code>的同学们也可以尽情使用<code>taskkill</code>了！诶等等，事情好像有点不对劲……</p>
+<h5 id="第二问-我的taskkill去哪了">第二问 我的taskkill去哪了</h5>
+<p><del>可是我的taskkill还好好地躺在<code>System32</code>文件夹里啊</del></p>
+<p>机房管理助手一启动，所有使用<code>taskkill</code>的脚本/程序都会失效，属于是老阴B了。如果不逆向破解，我还真不清楚这是怎么做到的。总之你可以在网站上下载一个<code>taskkill</code>（对上网下载一个下来），或者顶住巨大的学习难度学习<code>WinAPI</code>（<code>TerminateProcess</code>函数）写出一个拔山盖世的C++程序来。这一节就不多赘述其他内容了……</p>
+<h5 id="第三问-yl.reg到底写了啥">第三问 yl.reg到底写了啥</h5>
+<p>其实最扎眼的就是它里面写的<del>宣（补）战（贴）名单</del>各种脱控工具箱，说实话那些工具箱软件我基本上一个都没见过……</p>
+<p>这些注册表项有一个很普遍的特征，它们无一例外指向了注册表<code>HKEY_LOCAL_MACHINE\SOFTWARE\Policies\Microsoft\Windows\safer\codeidentifiers\0\Hashes</code>下很多以<code>GUID</code>形式命名的文件夹，那么这些文件夹具体起什么作用呢？</p>
+<p>这其实是组策略管理器的黑名单，具体<a target="_blank" rel="noopener" href="https://learn.microsoft.com/zh-cn/windows-server/identity/software-restriction-policies/determine-allow-deny-list-and-application-inventory-for-software-restriction-policies">见此</a>，没错，组策略可以限制指定软件的运行。但是很遗憾，这些配置全部存放在上述的注册表里面。你可以把注册表看做系统的配置文件，操作系统几乎所有配置信息、甚至包括大部分软件程序的配置都存放在注册表中。<del>这么看来除了BIOS没别的安全地方了</del></p>
+<p>如果想要禁用这些项，并不需要挨个将每个文件删去，而是看到他的其中一个父文件夹<code>codeidentifiers</code>。它里面有一个二进制值<code>authenticodeenabled</code>，它指定组策略黑名单的ID标识符，也就是<code>codeidentifier</code>文件夹下以数字命名的文件夹，只有当子文件夹的名称与ID标识符相同时才会启用该文件夹下的配置。因此我们釜底抽薪，直接更改<code>authenticodeenabled</code>的值：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Add</span><span class="token punctuation">]</span></span>
+HKLM,"SOFTWARE\Policies\Microsoft\Windows\safer\codeidentifiers","authenticodeenabled",1,00,11,45,14<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<h4 id="假如我掏出逆向工具阁下又该如何应对">假如我掏出逆向工具，阁下又该如何应对？</h4>
+<p>正如开头所说，学生机房管理助手由C#开发，因此可以用<code>dnSpy</code>反编译它的可执行文件，得到源码。那么我们就开始吧！</p>
+<h5 id="第一框-密码是啥">第一框 密码是啥</h5>
+<p>正如大多数软件那样，机房管理助手对它的源代码进行了一轮套壳，也就是代码混淆。为了让代码变成我们都容易看的形式。我们使用C#脱壳软件NET
+Reactor Slayer进行反混淆（代码混淆工具为NET Reactor）。</p>
+<pre class="line-numbers language-csharp" data-language="csharp"><code class="language-csharp"><span class="token keyword">using</span> <span class="token namespace">System</span><span class="token punctuation">;</span>
+<span class="token keyword">using</span> <span class="token namespace">System<span class="token punctuation">.</span>Security<span class="token punctuation">.</span>Cryptography</span><span class="token punctuation">;</span>
+<span class="token keyword">using</span> <span class="token namespace">System<span class="token punctuation">.</span>Text</span><span class="token punctuation">;</span>
+<span class="token keyword">using</span> <span class="token namespace">System<span class="token punctuation">.</span>IO</span><span class="token punctuation">;</span>
+
+<span class="token keyword">public</span> <span class="token keyword">class</span> <span class="token class-name">Program</span>
+<span class="token punctuation">{</span>
+	<span class="token keyword">public</span> <span class="token keyword">static</span> <span class="token return-type class-name"><span class="token keyword">void</span></span> <span class="token function">Main</span><span class="token punctuation">(</span><span class="token punctuation">)</span>
+	<span class="token punctuation">{</span>
+		<span class="token comment">// 更改这里的内容</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> string_3 <span class="token operator">=</span> <span class="token string">"12345678"</span><span class="token punctuation">;</span>
+		<span class="token comment">// Class6.smethod_0()</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> <span class="token keyword">value</span> <span class="token operator">=</span> <span class="token string">"C:\\WINDOWS"</span><span class="token punctuation">;</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> s <span class="token operator">=</span> <span class="token keyword">value</span><span class="token punctuation">.</span><span class="token function">Substring</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">,</span> <span class="token number">8</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> s2 <span class="token operator">=</span> <span class="token keyword">value</span><span class="token punctuation">.</span><span class="token function">Substring</span><span class="token punctuation">(</span><span class="token number">1</span><span class="token punctuation">,</span> <span class="token number">8</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name">DESCryptoServiceProvider</span> descryptoServiceProvider <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">DESCryptoServiceProvider</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		descryptoServiceProvider<span class="token punctuation">.</span>Key <span class="token operator">=</span> Encoding<span class="token punctuation">.</span>UTF8<span class="token punctuation">.</span><span class="token function">GetBytes</span><span class="token punctuation">(</span>s<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		descryptoServiceProvider<span class="token punctuation">.</span>IV <span class="token operator">=</span> Encoding<span class="token punctuation">.</span>UTF8<span class="token punctuation">.</span><span class="token function">GetBytes</span><span class="token punctuation">(</span>s2<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name">MemoryStream</span> memoryStream <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">MemoryStream</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name">CryptoStream</span> cryptoStream <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">CryptoStream</span><span class="token punctuation">(</span>memoryStream<span class="token punctuation">,</span> descryptoServiceProvider<span class="token punctuation">.</span><span class="token function">CreateEncryptor</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">,</span> CryptoStreamMode<span class="token punctuation">.</span>Write<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name">StreamWriter</span> streamWriter <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">StreamWriter</span><span class="token punctuation">(</span>cryptoStream<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		streamWriter<span class="token punctuation">.</span><span class="token function">Write</span><span class="token punctuation">(</span>string_3<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		streamWriter<span class="token punctuation">.</span><span class="token function">Flush</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		cryptoStream<span class="token punctuation">.</span><span class="token function">FlushFinalBlock</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		memoryStream<span class="token punctuation">.</span><span class="token function">Flush</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> string_4 <span class="token operator">=</span> Convert<span class="token punctuation">.</span><span class="token function">ToBase64String</span><span class="token punctuation">(</span>memoryStream<span class="token punctuation">.</span><span class="token function">GetBuffer</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">,</span> <span class="token number">0</span><span class="token punctuation">,</span> <span class="token keyword">checked</span><span class="token punctuation">(</span><span class="token punctuation">(</span><span class="token keyword">int</span><span class="token punctuation">)</span>memoryStream<span class="token punctuation">.</span>Length<span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token comment">// Class6.smethod_3()</span>
+		<span class="token class-name">StringBuilder</span> stringBuilder <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">StringBuilder</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span><span class="token punctuation">(</span><span class="token class-name"><span class="token keyword">int</span></span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> string_4<span class="token punctuation">.</span>Length<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span>
+			stringBuilder<span class="token punctuation">.</span><span class="token function">Append</span><span class="token punctuation">(</span><span class="token punctuation">(</span><span class="token keyword">char</span><span class="token punctuation">)</span><span class="token punctuation">(</span>string_4<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">-</span> <span class="token number">10</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		string_3 <span class="token operator">=</span> stringBuilder<span class="token punctuation">.</span><span class="token function">ToString</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token comment">// Class6.smethod_2()</span>
+		<span class="token class-name">MD5CryptoServiceProvider</span> md5CryptoServiceProvider <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token constructor-invocation class-name">MD5CryptoServiceProvider</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name"><span class="token keyword">byte</span><span class="token punctuation">[</span><span class="token punctuation">]</span></span> array2 <span class="token operator">=</span> md5CryptoServiceProvider<span class="token punctuation">.</span><span class="token function">ComputeHash</span><span class="token punctuation">(</span>Encoding<span class="token punctuation">.</span>Default<span class="token punctuation">.</span><span class="token function">GetBytes</span><span class="token punctuation">(</span>string_3<span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		stringBuilder<span class="token punctuation">.</span><span class="token function">Clear</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token class-name"><span class="token keyword">int</span></span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> array2<span class="token punctuation">.</span>Length<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span>
+			stringBuilder<span class="token punctuation">.</span><span class="token function">Append</span><span class="token punctuation">(</span>array2<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span><span class="token function">ToString</span><span class="token punctuation">(</span><span class="token string">"x2"</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token class-name"><span class="token keyword">string</span></span> str <span class="token operator">=</span> stringBuilder<span class="token punctuation">.</span><span class="token function">ToString</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">.</span><span class="token function">Substring</span><span class="token punctuation">(</span><span class="token number">10</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+
+		Console<span class="token punctuation">.</span><span class="token function">WriteLine</span><span class="token punctuation">(</span>str<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>同时，机房管理助手的密码MD5文件存放在注册表<code>HKEY_CURRENT_USER\Software</code>下的字符串值<code>n</code>里面。更改即生效！</p>
+<h3 id="代码环节">代码环节</h3>
+<h4 id="classx">ClassX</h4>
+<p><strong>使用方法</strong>：另存为<code>.bat</code>文件直接运行</p>
+<pre class="line-numbers language-powershell" data-language="powershell"><code class="language-powershell">@<span class="token function">echo</span> off
+ 
+&gt;nul 2&gt;&amp;1 <span class="token string">"%SYSTEMROOT%\System32\cacls.exe"</span> <span class="token string">"%SYSTEMROOT%\System32\config\system"</span>
+ 
+ 
+<span class="token keyword">if</span> <span class="token operator">%</span>errorlevel% == 0 <span class="token punctuation">(</span>
+    <span class="token function">echo</span> Admin Switched!
+<span class="token punctuation">)</span> <span class="token keyword">else</span> <span class="token punctuation">(</span>
+    <span class="token function">echo</span> Level Ascending<span class="token punctuation">.</span><span class="token punctuation">.</span><span class="token punctuation">.</span> Restart
+ 
+    powershell <span class="token operator">-</span>command <span class="token string">"Start-Process '%0' -Verb RunAs"</span>
+    <span class="token keyword">exit</span>
+<span class="token punctuation">)</span>
+
+<span class="token function">sc</span> stop tdnetfilter
+<span class="token function">sc</span> delete tdnetfilter
+<span class="token function">sc</span> stop tdfilefilter
+<span class="token function">sc</span> delete tdfilefilter
+<span class="token function">sc</span> stop GATESRV
+<span class="token function">sc</span> delete GATESRV
+<span class="token function">sc</span> stop STUDSRV
+<span class="token function">sc</span> delete STUDSRV
+
+regedit <span class="token operator">/</span>c <span class="token operator">/</span>s usb_reg<span class="token punctuation">.</span>reg
+<span class="token function">echo</span> Unhook through Regedit
+
+:a
+taskkill <span class="token operator">/</span>f <span class="token operator">/</span>t <span class="token operator">/</span>im MasterHelper<span class="token punctuation">.</span>exe
+taskkill <span class="token operator">/</span>f <span class="token operator">/</span>t <span class="token operator">/</span>im ProcHelper64<span class="token punctuation">.</span>exe
+TIMEOUT <span class="token operator">/</span>T 1
+goto a<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<h4 id="绿蜘蛛">绿蜘蛛</h4>
+<p><strong>使用方法</strong>：另存为<code>.inf</code>文件→右键安装；任务管理器先结束进程3000soft通用组件，再结束红蜘蛛软件</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Version</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">Signature</span><span class="token punctuation">=</span><span class="token value attr-value">"<span class="token inner-value">$CHICAGO$</span>"</span>
+<span class="token key attr-name">Provider</span><span class="token punctuation">=</span><span class="token value attr-value">justpureh2o@outlook.com, 2023</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">DefaultInstall</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">DelReg</span><span class="token punctuation">=</span><span class="token value attr-value">Delete</span>
+<span class="token key attr-name">AddReg</span><span class="token punctuation">=</span><span class="token value attr-value">RedSpiderService.ValueModify</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">RedSpiderService.ValueModify</span><span class="token punctuation">]</span></span>
+HKLM,"SYSTEM\CurrentControlSet\Services\appcheck2","ImagePath",0,"C:\Windows\SysWOW64\rschck.exe"
+HKLM,"SYSTEM\CurrentControlSet\Services\checkapp2","ImagePath",0,"C:\Windows\SysWOW64\chekrs.exe"<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<h4 id="学生机房管理助手通用破解">学生机房管理助手通用破解</h4>
+<p><strong>使用方法</strong>：另存为<code>.inf</code>文件→右键安装</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini"><span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Version</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">Signature</span><span class="token punctuation">=</span><span class="token value attr-value">"<span class="token inner-value">$CHICAGO$</span>"</span>
+<span class="token key attr-name">Provider</span><span class="token punctuation">=</span><span class="token value attr-value">justpureh2o@outlook.com, 2023</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">DefaultInstall</span><span class="token punctuation">]</span></span>
+<span class="token key attr-name">DelReg</span><span class="token punctuation">=</span><span class="token value attr-value">Delete</span>
+<span class="token key attr-name">AddReg</span><span class="token punctuation">=</span><span class="token value attr-value">Add</span>
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span> ; 大坏蛋，放开那个组策略管理器！
+HKCU,"Software\Policies\Microsoft\MMC","RestrictToPermittedSnapins"
+HKCU,"Software\Policies\Microsoft\MMC\{8FC0B734-A0E1-11D1-A7D30000F87571E3}","Restrict_Run"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span> ; 注册表和任务管理器我来接手，你可以卷铺盖走人了！
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableRegistryTools"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableTaskMgr"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableChangePassword" HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableCMD"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span> ; 我就要切换用户！
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","DisableSwitchUserOption"
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Policies\System","HideFastUserSwitching"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Delete</span><span class="token punctuation">]</span></span> ; 如果把我桌面搞乱了张伟会清理掉我的文件滴
+HKCU,"Software\Microsoft\Windows\CurrentVersion\Explorer","DesktopProcess"
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Add</span><span class="token punctuation">]</span></span> ; 加点料才香~
+HKLM,"SOFTWARE\Policies\Microsoft\Windows\safer\codeidentifiers","authenticodeenabled",1,00,11,45,14
+HKLM,"Software\Microsoft\Windows\CurrentVersion\Policies\System","NoConfigPage",1,00,00,00,01
+HKLM,"Software\Microsoft\Windows\CurrentVersion\Policies\System","NoDevMgrPage",1,00,00,00,01
+
+<span class="token section"><span class="token punctuation">[</span><span class="token section-name selector">Add</span><span class="token punctuation">]</span></span> ; 嘲讽一波这sb管理助手，关键你就算换成自己的网页学校的破网也加载不出来（笑）
+HKLM,"SOFTWARE\Policies\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKLM,"SOFTWARE\Microsoft\Internet Explorer\MAIN","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKLM,"SOFTWARE\Microsoft\Internet Explorer\MAIN","First Home Page",0,"https://justpureh2o.github.io/misc/"
+HKLM,"SOFTWARE\Wow6432Node\Baidu\BaiduProtect\LockIEStartPage","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKLM,"SOFTWARE\Wow6432Node\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKLM,"SOFTWARE\Wow6432Node\Software\Microsoft\Internet Explorer\Main","Default_Page_URL",0,"https://justpureh2o.github.io/misc/"
+HKEY_USERS,".DEFAULT\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKEY_USERS,".DEFAULT\Software\Microsoft\Internet Explorer\Main","First Home Page",0,"https://justpureh2o.github.io/misc/"
+HKEY_USERS,"S-1-5-18\Software\Microsoft\Internet Explorer\Main","Start Page",0,"https://justpureh2o.github.io/misc/"
+HKEY_USERS,"S-1-5-18\Software\Microsoft\Internet Explorer\Main","First Home Page",0,"https://justpureh2o.github.io/misc/"
+<span class="token comment">; TODO 再给你多附赠几个浏览器hh</span>
+HKCU,"Software\Classes\Local Settings\Software\Microsoft\Windows\CurrentVersion\AppContainer\Storage\microsoft.microsoftedgedevtoolsclient_8wekyb3d8bbwe\MicrosoftEdgeMain","Start Page",0,"https://justpureh2o.github.io/2023/12/24/cracked-23-12-23" ; Edge 浏览器主页<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
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+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
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+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E6%95%B4%E6%B4%BB/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>整活</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%AD%A6%E6%9C%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>学术</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E7%A0%B4%E8%A7%A3/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>破解</p></a></div>
+  <span hidden itemprop="keywords">整活 学术 破解</span>
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+      <ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%9E%81%E5%9F%9F%E4%B8%96%E7%95%8C%E4%B8%8A%E6%9C%80%E5%BC%B1%E5%B0%8F%E6%9C%80%E5%8D%95%E7%BA%AF%E7%9A%84%E6%9C%BA%E6%88%BF%E8%BD%AF%E4%BB%B6"><span class="toc-number">1.</span> <span class="toc-text">极域——世界上最弱小最单纯的机房软件</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%9D%BF%E5%9D%97%E4%B8%80-td%E5%88%B0%E5%BA%95%E6%98%AF%E5%95%A5%E7%9A%84%E7%BC%A9%E5%86%99"><span class="toc-number">1.1.</span> <span class="toc-text">板块一 TD到底是啥的缩写？</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%9D%BF%E5%9D%97%E4%BA%8C-%E5%8F%AF%E7%96%91%E7%9A%84%E7%A8%8B%E5%BA%8F"><span class="toc-number">1.2.</span> <span class="toc-text">板块二 可疑的程序</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%9D%BF%E5%9D%97%E4%B8%89-%E6%8B%92%E7%BB%9D%E8%AE%BF%E9%97%AE%E4%BB%80%E4%B9%88%E9%AC%BC"><span class="toc-number">1.3.</span> <span class="toc-text">板块三 拒绝访问什么鬼？</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E7%A7%8D%E6%83%85%E5%86%B5%E9%92%A9%E5%AD%90%E7%A8%8B%E5%BA%8F"><span class="toc-number">1.3.1.</span> <span class="toc-text">第一种情况：钩子程序</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E7%A7%8D%E6%83%85%E5%86%B5%E6%97%B6%E4%BB%A3%E5%8F%98%E4%BA%86"><span class="toc-number">1.3.2.</span> <span class="toc-text">第二种情况：时代变了</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%9D%BF%E5%9D%97%E5%9B%9B-%E6%8C%82%E8%B5%B7%E8%BF%9B%E7%A8%8B"><span class="toc-number">1.4.</span> <span class="toc-text">板块四 挂起进程</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#%E6%8C%82%E8%B5%B7%E4%B8%BA%E4%BD%95%E7%89%A9"><span class="toc-number">1.4.1.</span> <span class="toc-text">挂起为何物？</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E7%A7%8D-%E6%80%A7%E8%83%BD%E7%9B%91%E8%A7%86%E5%99%A8"><span class="toc-number">1.4.2.</span> <span class="toc-text">第一种 性能监视器</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E7%A7%8D-suspend%E5%91%BD%E4%BB%A4%E8%A1%8C"><span class="toc-number">1.4.3.</span> <span class="toc-text">第二种 Suspend命令行</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E6%9D%BF%E5%9D%97%E4%BA%94-%E7%95%99%E7%BB%992024%E7%9A%84%E4%B8%80%E4%B8%AA%E5%B0%8F%E9%97%AE%E9%A2%98"><span class="toc-number">1.5.</span> <span class="toc-text">板块五 留给2024的一个小问题</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%BA%A2%E8%9C%98%E8%9B%9B%E8%BD%AF%E4%BB%B6%E5%8F%AF%E6%9B%BE%E5%90%AC%E9%97%BB%E6%88%91%E7%BB%BF%E8%9C%98%E8%9B%9B%E8%84%9A%E6%9C%AC%E7%9A%84%E5%8E%89%E5%AE%B3"><span class="toc-number">2.</span> <span class="toc-text">红蜘蛛软件——可曾听闻我绿蜘蛛脚本的厉害？</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E8%BF%99%E7%8E%A9%E6%84%8F%E6%80%8E%E4%B9%88%E8%B7%9F2345%E4%B8%80%E4%B8%AA%E5%BE%B7%E8%A1%8C"><span class="toc-number">2.1.</span> <span class="toc-text">1. 这玩意怎么跟2345一个德行？</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%AD%A6%E7%94%9F%E6%9C%BA%E6%88%BF%E7%AE%A1%E7%90%86%E5%8A%A9%E6%89%8B%E9%97%BB%E7%9D%80%E8%87%AD%E5%90%83%E7%9D%80%E9%A6%99"><span class="toc-number">3.</span> <span class="toc-text">学生机房管理助手——闻着臭吃着香</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E4%B8%8D%E7%94%A8%E9%80%86%E5%90%91%E8%83%BD%E5%BE%97%E5%88%B0%E4%BB%80%E4%B9%88%E7%BB%93%E8%AE%BA"><span class="toc-number">3.1.</span> <span class="toc-text">1. 不用逆向，能得到什么结论？</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E9%97%AE-%E4%BB%BB%E5%8A%A1%E7%AE%A1%E7%90%86%E5%99%A8%E6%B3%A8%E5%86%8C%E8%A1%A8%E7%BB%84%E7%AD%96%E7%95%A5%E5%92%8B%E8%A7%A3"><span class="toc-number">3.1.1.</span> <span class="toc-text">第一问
+任务管理器、注册表、组策略咋解</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%BA%8C%E9%97%AE-%E6%88%91%E7%9A%84taskkill%E5%8E%BB%E5%93%AA%E4%BA%86"><span class="toc-number">3.1.2.</span> <span class="toc-text">第二问 我的taskkill去哪了</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%B8%89%E9%97%AE-yl.reg%E5%88%B0%E5%BA%95%E5%86%99%E4%BA%86%E5%95%A5"><span class="toc-number">3.1.3.</span> <span class="toc-text">第三问 yl.reg到底写了啥</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%81%87%E5%A6%82%E6%88%91%E6%8E%8F%E5%87%BA%E9%80%86%E5%90%91%E5%B7%A5%E5%85%B7%E9%98%81%E4%B8%8B%E5%8F%88%E8%AF%A5%E5%A6%82%E4%BD%95%E5%BA%94%E5%AF%B9"><span class="toc-number">3.2.</span> <span class="toc-text">假如我掏出逆向工具，阁下又该如何应对？</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#%E7%AC%AC%E4%B8%80%E6%A1%86-%E5%AF%86%E7%A0%81%E6%98%AF%E5%95%A5"><span class="toc-number">3.2.1.</span> <span class="toc-text">第一框 密码是啥</span></a></li></ol></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E4%BB%A3%E7%A0%81%E7%8E%AF%E8%8A%82"><span class="toc-number">4.</span> <span class="toc-text">代码环节</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#classx"><span class="toc-number">4.1.</span> <span class="toc-text">ClassX</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E7%BB%BF%E8%9C%98%E8%9B%9B"><span class="toc-number">4.2.</span> <span class="toc-text">绿蜘蛛</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E5%AD%A6%E7%94%9F%E6%9C%BA%E6%88%BF%E7%AE%A1%E7%90%86%E5%8A%A9%E6%89%8B%E9%80%9A%E7%94%A8%E7%A0%B4%E8%A7%A3"><span class="toc-number">4.3.</span> <span class="toc-text">学生机房管理助手通用破解</span></a></li></ol></li></ol>
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+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
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diff --git a/number-theory-junior/index.html b/number-theory-junior/index.html
new file mode 100644
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+  <title>信竞初等数论导论 - JustPureH2O的博客</title>
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+<meta property="og:title" content="信竞初等数论导论">
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+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="引入 如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以说高等">
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+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
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+    plugins: {
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+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/number-theory-junior/">
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    
+    
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+      <h1 class="title" itemprop="name headline">
+        信竞初等数论导论
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
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+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
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+
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+        
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+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 26, 2023</p>
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+    <p><img src="https://pic.imgdb.cn/item/658f77c9c458853aefbd431e.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/658f77c9c458853aefbd431e.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<h3 id="引入">引入</h3>
+<p>如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论<del>尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数</del>，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以说高等数论奠基于初等数论。它同时也是初学者接触数论的必经之路。</p>
+<h3 id="part1.-前置知识">Part1.  前置知识</h3>
+<h4 id="div1.-数论有关定理">Div1. 数论有关定理</h4>
+<p><strong>算术基本定理</strong>：每一个合数都可以被分解为有限个质数的乘积。即对于任意合数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，都存在：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.735ex;" xmlns="http://www.w3.org/2000/svg" width="18.284ex" height="2.507ex" role="img" focusable="false" viewBox="0 -783.2 8081.5 1108.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" 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data-mml-node="TeXAtom" transform="translate(536,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msubsup" transform="translate(3134.4,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="TeXAtom" transform="translate(536,459.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mn" transform="translate(466,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="TeXAtom" transform="translate(536,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="msubsup" transform="translate(4335.3,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="TeXAtom" transform="translate(536,470.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mn" transform="translate(466,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="TeXAtom" transform="translate(536,-296.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mo" transform="translate(5536.2,0)"><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path></g><g data-mml-node="mo" transform="translate(5980.8,0)"><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path></g><g data-mml-node="mo" transform="translate(6425.5,0)"><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z"></path></g><g data-mml-node="msubsup" transform="translate(6870.2,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="TeXAtom" transform="translate(536,465.2) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(466,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="TeXAtom" transform="translate(536,-317.1) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></g></svg></mjx-container></span>，其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为质数。</p>
+<p><strong>推论一</strong>：正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的正因数集合为：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.706ex;" xmlns="http://www.w3.org/2000/svg" width="42.933ex" height="2.881ex" role="img" focusable="false" viewBox="0 -961.4 18976.6 1273.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="7B" d="M434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1377.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msubsup" 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+<p><strong>推论二</strong>：正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的正因数个数为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.777ex;" xmlns="http://www.w3.org/2000/svg" width="59.813ex" height="2.966ex" role="img" focusable="false" viewBox="0 -967.8 26437.5 1311.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D70F" d="M39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284Z"></path></g><g data-mml-node="mo" transform="translate(517,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 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+<p><strong>推论三</strong>：正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的所有正因数之和为</p>
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223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(954.4,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1732.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><rect width="1778.5" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span></p>
+<p><strong>质数分布定理</strong>：区间<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.404ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2388.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(2110.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="7.791ex" height="1.57ex" role="img" focusable="false" viewBox="0 -683 3443.6 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(1165.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2443.6,0)"><path data-c="221E" d="M55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214Z"></path></g></g></g></svg></mjx-container></span>时，质数个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="10.917ex" height="2.495ex" role="img" focusable="false" viewBox="0 -750 4825.4 1102.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D70B" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></g><g data-mml-node="mo" transform="translate(570,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(959,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1531,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2197.8,0)"><path data-c="2248" d="M55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85Z"></path></g><g data-mml-node="mfrac" transform="translate(3253.6,0)"><g data-mml-node="mi" transform="translate(573.8,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mrow" transform="translate(220,-345) scale(0.707)"><g data-mml-node="mi"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(278,0)"></path></g><g data-mml-node="mo" transform="translate(834,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(1000.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><rect width="1331.8" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>费马小定理：</strong> 若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>是一个质数，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="13.072ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 5777.8 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g><g data-mml-node="mo" transform="translate(1245.5,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(2301.2,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(3108,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(5274.8,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0.081ex;" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.968ex" role="img" focusable="false" viewBox="0 -464 778 428"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g></g></g></svg></mjx-container></span>为同余符号）。</p>
+<p><strong>欧拉定理（费马小定理扩展）：</strong> 若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.571ex" height="1.536ex" role="img" focusable="false" viewBox="0 -668 2462.6 679"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="22A5" d="M369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质），则有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="15.672ex" height="2.046ex" role="img" focusable="false" viewBox="0 -893.3 6927 904.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(654,0)"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(989,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2326.6,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(3382.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(4160.2,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(6327,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>为欧拉函数。</p>
+<h4 id="div2.-同余">Div2. 同余</h4>
+<p><strong>同余</strong>，顾名思义，两个数分别除以一个正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>后得到相同的余数。即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="20.219ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 8936.7 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(2973.6,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4129.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(5185.1,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(5891.9,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(8058.7,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。但是它的定义给出了这样一句话：<strong>“对于正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>，若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="10.566ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4670 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(1140.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2140.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2569.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3236.2,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(3792,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="4.933ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 2180.4 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(1751.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>整除），则称<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>对模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>同余，记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.34ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6780.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mspace" transform="translate(2291.6,0)"></g><g data-mml-node="mo" transform="translate(2735.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3124.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 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+<p>同余具有以下三种基本性质：</p>
+<ol type="1">
+<li>反身性：对于任何正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.566ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6880.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mspace" transform="translate(2391.6,0)"></g><g data-mml-node="mo" transform="translate(2835.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3224.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 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16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6491.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>对称性：即对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.091ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6670.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mstyle" transform="translate(2291.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" 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343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 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364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6391.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>传递性：若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.34ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6780.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mspace" transform="translate(2291.6,0)"></g><g data-mml-node="mo" transform="translate(2735.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3124.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5013.6,0)"></g><g data-mml-node="mi" transform="translate(5513.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6391.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.123ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6684.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(706.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1762.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mspace" transform="translate(2195.6,0)"></g><g data-mml-node="mo" transform="translate(2639.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3028.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(4917.6,0)"></g><g data-mml-node="mi" transform="translate(5417.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6295.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.349ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6784.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mspace" transform="translate(2295.6,0)"></g><g data-mml-node="mo" transform="translate(2739.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3128.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5017.6,0)"></g><g data-mml-node="mi" transform="translate(5517.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6395.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 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+</ol>
+<p>当然，它可以延申到计算机的模运算（毕竟出现了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="4.274ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 1889 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g></g></g></svg></mjx-container></span>）。模运算有三种基本运算：</p>
+<ol type="1">
+<li>加运算：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="31.888ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 14094.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(1140.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2140.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2569.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(2958.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(3791.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 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87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8854.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(9854.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(10283.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(11116.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 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24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>减运算：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="31.888ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 14094.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 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280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8854.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(9854.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(10283.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(11116.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(11994.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(12383.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(13216.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>乘运算：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="33.648ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 14872.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(1140.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1640.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2069.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(2458.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 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-141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(6281,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(6810,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 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405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(12383.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(12772.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(13161.4,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(13994.4,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span></li>
+</ol>
+<p>还有两个推论：</p>
+<ol type="1">
+<li>幂运算：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.747ex" height="2.497ex" role="img" focusable="false" viewBox="0 -853.7 8728.3 1103.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="mi" transform="translate(915.3,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(1748.3,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(2529.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(3584.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(3973.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4362.9,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(4891.9,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(5724.9,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="msup" transform="translate(6227.9,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="mo" transform="translate(7003.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(7392.3,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(8225.3,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>求和运算：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="24.867ex" height="5.449ex" role="img" focusable="false" viewBox="0 -1362.5 10991.2 2408.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="munderover" transform="translate(389,0)"><g data-mml-node="mo" transform="translate(126.1,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1350,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(441.9,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mi" transform="translate(1863.8,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2435.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(2824.8,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 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27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mi" transform="translate(7358.2,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(7930.2,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(8763.2,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(9266.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(9655.2,0)"><path data-c="25" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g data-mml-node="mi" transform="translate(10488.2,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span></li>
+</ol>
+<p>同余消去原则：</p>
+<blockquote>
+<p>若同余号两端的项相等，且都与模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质，则可以同时消去</p>
+</blockquote>
+<p>举例：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="17.301ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 7647 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1251.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(1962.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(3018,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3669.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(4169.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(4880.2,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(7047,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，如果<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="12.487ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5519.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mi" transform="translate(477,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(910,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(1430,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1819,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(2252,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2696.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3296.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3963.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(5019.2,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.054ex;" xmlns="http://www.w3.org/2000/svg" width="26.005ex" height="1.624ex" role="img" focusable="false" viewBox="0 -694 11494.1 718"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1251.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(1962.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(3018,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3669.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(4169.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(4880.2,0)"><path data-c="21D2" d="M580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514Z"></path></g><g data-mml-node="mi" transform="translate(6158,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(6964.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(8020.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(8727.3,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(10894.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h3 id="part2.-质数">Part2.  质数</h3>
+<p>质数的判断：除了它自身<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.699ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 751 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D443" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path></g></g></g></svg></mjx-container></span>以及<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>以外，不存在其他正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="5.594ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 2472.6 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(1165.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1721.6,0)"><path data-c="1D443" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="div1.-质数判断">Div1.  质数判断</h4>
+<p><strong>试除法：</strong>
+这是三种方法中，<strong>唯一一种能做到100%正确的质数判断方法</strong>。对于给定数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，遍历所有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.683ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 2953.7 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msqrt" transform="translate(1222.7,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2675.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>间的正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，若出现<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="5.23ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 2311.6 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1155.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1711.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>则证明它不是质数，因为质数<strong>只能被1以及它本身整除</strong>。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">bool</span> <span class="token function">isPrime</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>	
+	<span class="token keyword">return</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.848ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 3027 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msqrt" transform="translate(1185,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2638,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及、提高</p>
+<p><del>试除法の大胜利！</del></p>
+<p><strong>费马素性检验：</strong>
+是上述费马小定理的实际运用，它与常规算法思想有所不同：它主张在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.65ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3823.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2044.9,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3045.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3545.1,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中随机选取一个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>。若出现与费马小定理不符的情况，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>一定为合数；若每次均符合定理，称为
+<em>费马伪素数</em> ，因为它<strong>很大概率</strong>是一个质数。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">bool</span> <span class="token function">isPrime</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">&lt;=</span> <span class="token number">2</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> k <span class="token operator">=</span> <span class="token number">10</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>k<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token function">srand</span><span class="token punctuation">(</span><span class="token function">time</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">int</span> a <span class="token operator">=</span> <span class="token function">rand</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token operator">%</span> <span class="token punctuation">(</span>n <span class="token operator">-</span> <span class="token number">2</span><span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token number">2</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">__gcd</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> n<span class="token punctuation">)</span> <span class="token operator">!=</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">qpow</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> n <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">,</span> n<span class="token punctuation">)</span> <span class="token operator">!=</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span> 
+	<span class="token punctuation">}</span> 
+	<span class="token keyword">return</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.743ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4306.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(1872.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3150.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3317.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3917.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>为随机数检验次数，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.466ex;" xmlns="http://www.w3.org/2000/svg" width="4.626ex" height="2.036ex" role="img" focusable="false" viewBox="0 -694 2044.7 900"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1278,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(1444.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>是因为使用了快速幂算法。</p>
+<p>适用范围：提高T2及以下（慎用）</p>
+<p>为什么用该方法判断的质数 <em>大概率</em>
+是个质数呢？不妨测试一下<code>561</code>（3）、<code>1105</code>（5）、<code>1729</code>（7）（括号内为它的最小因子），你会发现函数的返回值均为<code>true</code>，即都为质数。可见这个算法不是100%正确的，这些“漏网之鱼”被称为“Carmichael数”。它们极其罕见，一亿范围内仅255个。也因如此，你可以通过打表特判的方式抠掉这些特例（你保证记得住就行）。2016年中国物流工人余建春给出了一个Carmichael数的判断准则，这个标准目前在国际上得到了广泛认同。</p>
+<p>对于优化，你可以在函数起始点加入类似于<code>if (n % 2 == 0 || n % 3 == 0) return false;</code>的特判，进一步降低复杂度。</p>
+<p><strong>Miller-Rabin算法：</strong>
+<strong>该算法同样无法保证结果100%准确，慎用！</strong></p>
+<p>MB算法实质上是对费马素性检验算法的效率和准确度优化。算法流程如下：</p>
+<ol type="1">
+<li>将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>分解为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.011ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 2657.1 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g></g><g data-mml-node="mo" transform="translate(1136.9,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2137.1,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>的形式，其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.176ex" height="1.593ex" role="img" focusable="false" viewBox="0 -694 520 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>为奇数</li>
+<li>从<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.65ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3823.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2044.9,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3045.1,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3545.1,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中选取整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，称为“基数”</li>
+<li>计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="9.105ex" height="1.956ex" role="img" focusable="false" viewBox="0 -853.7 4024.3 864.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g><g data-mml-node="mo" transform="translate(1257.5,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3424.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的值，若结果为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，则可能为质数，继续检验</li>
+<li>若结果不等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="9.905ex" height="1.956ex" role="img" focusable="false" viewBox="0 -853.7 4377.8 864.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1611,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 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629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1611,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 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role="img" focusable="false" viewBox="0 -853.7 4377.8 864.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 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643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1611,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 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viewBox="0 -952.7 5310 963.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="TeXAtom" transform="translate(533,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 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255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2543.2,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(4710,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的值，若结果等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，则可能为质数，继续检验</li>
+<li>若都不等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>一定是合数。称为<strong>强费马证据</strong>。</li>
+</ol>
+<p>当然，它同样有特例，称为<strong>强伪质数</strong>，如<code>2047</code>（23）、<code>3277</code>（29）、<code>4033</code>（39）等（括号内为它的最小因子）。</p>
+<h4 id="div2.-质数筛">Div2.  质数筛</h4>
+<p>常见的质数筛法有：试除法、埃氏筛、线性筛。</p>
+<p><strong>试除法</strong>：从质数定义出发，即存在一个正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>，对于任意<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.334ex" height="2.758ex" role="img" focusable="false" viewBox="0 -969 3241.7 1219"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msqrt" transform="translate(1222.7,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g><g data-mml-node="mo" transform="translate(2963.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>间的正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>，总有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="14.066ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 6217.1 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(1165.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3332.6,0)"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(4661.3,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mn" transform="translate(5717.1,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>成立。代码实现只需枚举<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.334ex" height="2.758ex" role="img" focusable="false" viewBox="0 -969 3241.7 1219"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msqrt" transform="translate(1222.7,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g><g data-mml-node="mo" transform="translate(2963.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>间所有正整数，并让<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.009ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 888 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>对其取余。若取模运算出现<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>则代表它不为质数，没有出现<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>则为质数。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">bool</span> <span class="token function">isPrime</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token boolean">false</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>	
+	<span class="token keyword">return</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.5ex" height="2.758ex" role="img" focusable="false" viewBox="0 -969 3315 1219"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msqrt" transform="translate(1185,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g><g data-mml-node="mo" transform="translate(2926,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及T2及以下</p>
+<p>这里所展示的试除法代码实际上经过一轮优化。若严格根据质数定义，第二行的循环上限应为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。考虑到如下性质：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.344ex" height="2.758ex" role="img" focusable="false" viewBox="0 -969 5898.2 1219"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2200" d="M0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410Z"></path></g><g data-mml-node="mi" transform="translate(556,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1711.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mo" transform="translate(2656.6,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(2934.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3434.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msqrt" transform="translate(3879.2,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g><g data-mml-node="mo" transform="translate(5620.2,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>，若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="5.881ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 2599.6 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1155.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1711.6,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>，则一定有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="6.311ex" height="2.782ex" role="img" focusable="false" viewBox="0 -877 2789.5 1229.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mi" transform="translate(223.5,-345) scale(0.707)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><rect width="827.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(1345.7,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1901.5,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g></g></svg></mjx-container></span>。因此可以将循环上限压缩至<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.206ex;" xmlns="http://www.w3.org/2000/svg" width="3.939ex" height="2.398ex" role="img" focusable="false" viewBox="0 -969 1741 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>埃氏筛</strong>：全称叫<em>埃拉托斯特尼筛法</em>，老哥生活在2200年前的古希腊，不借助望远镜就计算出了地球的周长（与真实值偏差仅0.96%）、同时他也是第一位根据经纬线绘制出世界地图的人、也是最先提出将地球根据南北回归线分为“五带”的大人物。他提出的筛法核心思想如下：</p>
+<p>第一步：列出从2开始的一列连续数字；第二步：选出第一个质数（本例中为2），将该质数标记，将数列中它的的所有倍数划去；第三步：<strong>若数列中的末项小于它前一项的平方，则质数已全部筛出；否则返回第二步</strong>。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">void</span> <span class="token function">get</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>vis<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			prime<span class="token punctuation">[</span>cnt<span class="token operator">++</span><span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">*</span> j <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j <span class="token operator">++</span><span class="token punctuation">)</span> vis<span class="token punctuation">[</span>i <span class="token operator">*</span> j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>其中，<code>prime</code>数组存储质数，<code>vis</code>数组用于标记（即上文中“划去数字”），变量<code>cnt</code>则存储<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.404ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2388.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(2110.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中质数的个数。</p>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.917ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3941.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1951.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(278,0)"></path></g><g data-mml-node="mo" transform="translate(2785.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2952.3,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(3552.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及T2及以下</p>
+<p>但是继续观察算法发现：<strong>我们其实无需将所有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的倍数删去，只需删去前一步得出的质数的所有倍数即可。</strong>
+这与前文介绍的埃氏法核心相符。因此将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="1.957ex" role="img" focusable="false" viewBox="0 -661 412 865"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></svg></mjx-container></span>循环迁移至条件判断中即可：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">void</span> <span class="token function">get</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>vis<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			prime<span class="token punctuation">[</span>cnt<span class="token operator">++</span><span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+			<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> i <span class="token operator">+</span> i<span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j <span class="token operator">+=</span> i<span class="token punctuation">)</span> vis<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>优化复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.19ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5830 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1951.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(3396.3,0)"><g data-mml-node="mi"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(1278,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(1444.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(5441,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及T3及以下</p>
+<p><strong>线性筛/欧拉筛</strong>：实质是埃氏筛的线性优化。因为在埃氏筛中，有些数字被重复筛了多次（例如30会被2、3、5筛到）。本着线性优化的原则，我们需要找到一个方法，使得每个合数仅被筛选一次。主要思想如下：</p>
+<p>我们发现，线性筛和埃氏筛均使用了<strong>质数的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>倍为合数</strong>的结论。我们只需要保证每一个数仅被它自身的最小质因数筛出即可。即对于数字<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.499ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 2430.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1100.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msub" transform="translate(1600.4,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>是一个合数，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.499ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 2430.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1100.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msub" transform="translate(1600.4,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>只会被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.878ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 830 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>筛出。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">void</span> <span class="token function">get</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>vis<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> prime<span class="token punctuation">[</span>cnt<span class="token operator">++</span><span class="token punctuation">]</span> <span class="token operator">=</span> j<span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> prime<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&lt;=</span> n <span class="token operator">/</span> i<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			vis<span class="token punctuation">[</span>prime<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> prime<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">break</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.919ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2174 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1785,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及、提高</p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P5736">P5736
+【深基7.例2】质数筛</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P5723">P5723
+【深基4.例13】质数口袋</a></li>
+</ol>
+<h3 id="part3.-因数">Part3.  因数</h3>
+<p><strong>因数定义：</strong> 对于一个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，若存在一个正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="5.23ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 2311.6 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1155.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1711.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，则称<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的因数。</p>
+<h4 id="div1.-因数分解法">Div1.  因数分解法</h4>
+<p><strong>试除法：</strong><del>万能暴力解法</del>。即遍历<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.683ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 2953.7 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msqrt" transform="translate(1222.7,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2675.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>间的所有数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，若可以整除<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="2.4ex" height="2.397ex" role="img" focusable="false" viewBox="0 -706.5 1060.8 1059.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(318.3,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><rect width="820.8" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>均为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的因数。特殊情况：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.491ex;" xmlns="http://www.w3.org/2000/svg" width="3.287ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 1453 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g></g></g></svg></mjx-container></span>为整数时，因数仅有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.491ex;" xmlns="http://www.w3.org/2000/svg" width="3.287ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 1453 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g></g></g></svg></mjx-container></span>本身，因此需特判。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> <span class="token function">get</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> ret<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			ret<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span>i<span class="token punctuation">)</span><span class="token punctuation">;</span>
+			ret<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span>n <span class="token operator">/</span> i<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> <span class="token punctuation">(</span>i <span class="token operator">*</span> i<span class="token punctuation">)</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> ret<span class="token punctuation">.</span><span class="token function">pop_back</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token function">sort</span><span class="token punctuation">(</span>ret<span class="token punctuation">.</span><span class="token function">begin</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">,</span> ret<span class="token punctuation">.</span><span class="token function">end</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> ret<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.848ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 3027 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msqrt" transform="translate(1185,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2638,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及T1</p>
+<h4 id="div2.最大公约数">Div2.最大公约数</h4>
+<p><strong>辗转相除法：</strong>
+又是我们大名鼎鼎的欧几里得老先生提出的一套公约数算法，整个算极其简洁：核心只有一行，即：</p>
+<blockquote>
+<p>两个数的最大公约数等于其中较小的数字和二者之间余数的最大公约数</p>
+</blockquote>
+<p>可以写出：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">gcd</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">return</span> b <span class="token operator">?</span> <span class="token function">gcd</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> a <span class="token operator">%</span> b<span class="token punctuation">)</span> <span class="token operator">:</span> a<span class="token punctuation">;</span> 
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
+<p>但是为什么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="26.082ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 11528.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mi" transform="translate(477,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(910,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(1430,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1819,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2348,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2792.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3221.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3888.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4944.2,0)"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 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79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(6374.2,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(6763.2,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(7292.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(7736.9,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(8543.7,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(10710.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(11139.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>呢？我们可以通过以下方法证明：</p>
+<p>假设如下关系：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="14.424ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 6375.4 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2083.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(3064.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3565,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(4547.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(5547.4,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g></g></svg></mjx-container></span>。其中被除数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，除数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，商<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>，余数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.873ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 828 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g></g></svg></mjx-container></span>。则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="25.799ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 11403.2 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3194.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(4231.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(5287.1,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(6314.9,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(8481.7,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(9519.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(10575.2,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>首先证明充分性：令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.724ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3856 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2083.6,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2834.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3335,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.518ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 3765 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2092.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2743.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3244,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>，即二者有相同因子<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>代入初始除法算式得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="46.602ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 20598.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mo" transform="translate(1105.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2161.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(3133.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(4134,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5115.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(5615.4,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(6653.2,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(7931,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(8682.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(9182.4,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(9925.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(10925.9,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(11577.1,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(12077.3,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(12820.6,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(13320.8,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(14358.6,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(15636.3,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(16157.3,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(16546.3,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(17297.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(18297.8,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(18949,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(19449.2,0)"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(20209.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>接着由于加减乘法的封闭性，即一个整数进行加减乘运算得到的结果同样是一个整数。可以得出：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="19.625ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 8674.3 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mo" transform="translate(1105.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2161.6,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2904.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3405,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(4570.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(5126.6,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(6292.3,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(7237.1,0)"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M64 232T64 250T87 281H416V444Q416 608 418 612Q426 633 446 633T475 613Q477 608 477 444V281H807Q808 280 811 278T817 274T823 269T827 262T829 251Q829 230 807 221L642 220H477V57Q477 -107 475 -112Q468 -131 446 -131Q425 -131 418 -112Q416 -107 416 57V220H251L87 221Q64 232 64 250Z"></path></g></g></g></g></g></svg></mjx-container></span>。即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.873ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 828 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="8.945ex" height="1.645ex" role="img" focusable="false" viewBox="0 -716 3953.6 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3194.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>）与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>有共同因子。</p>
+<p>接下来证必要性。令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="8.38ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 3704 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2092.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2743.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3244,0)"><path data-c="1D45E" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="8.742ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 3864 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mo" transform="translate(1105.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2161.6,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(2903.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3404,0)"><path data-c="1D45E" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span></p>
+<p><strong>Stein算法：</strong>
+上一个方法的明显缺点在于，它处理大质数的效率并不好（但总体来说是很好的），因为它使用了取余运算，这会减慢一些速度。可以理解，生在2000多年前——一个没有电脑和OI的古希腊社会，这个算法已经足够兼顾常规效率和手推难度了。但是步入21世纪，加快的生活节奏<del>毒瘤数据</del>使得人们对更快算法的需求空前高涨。Stein算法便应运而生。</p>
+<p>算法流程如下：</p>
+<ol type="1">
+<li>任意给定两个正整数，先判断它们是否都是偶数，若是，则用2约简，若不是，则执行第二步。</li>
+<li>若两数是一奇一偶，则偶数除以2，直至两数都成为奇数。再以较大的数减较小的数，接着取所得的差与较小的数，若两数一奇一偶，仍然偶数除以2，直至两数都成为奇数。再次以大数减小数。不断重复这个操作，直到所得的减数和差相等为止。</li>
+<li>两数相等时，第一步中约掉的若干个2与第二步中最终的等数的乘积就是所求的最大公约数。</li>
+</ol>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">gcd</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> p <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">,</span> t<span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span><span class="token punctuation">(</span><span class="token number">1</span> <span class="token operator">&amp;</span> a<span class="token punctuation">)</span> <span class="token operator">&amp;&amp;</span> <span class="token operator">!</span><span class="token punctuation">(</span><span class="token number">1</span> <span class="token operator">&amp;</span> b<span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		a <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		b <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		p<span class="token operator">++</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span><span class="token punctuation">(</span><span class="token number">1</span> <span class="token operator">&amp;</span> a<span class="token punctuation">)</span><span class="token punctuation">)</span> a <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span><span class="token punctuation">(</span><span class="token number">1</span> <span class="token operator">&amp;</span> b<span class="token punctuation">)</span><span class="token punctuation">)</span> b <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>a <span class="token operator">&lt;</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		t <span class="token operator">=</span> a<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> b<span class="token punctuation">;</span>
+		b <span class="token operator">=</span> t<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>a <span class="token operator">=</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>a <span class="token operator">-</span> b<span class="token punctuation">)</span> <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span><span class="token punctuation">(</span><span class="token number">1</span> <span class="token operator">&amp;</span> a<span class="token punctuation">)</span><span class="token punctuation">)</span> a <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>a <span class="token operator">&lt;</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			t <span class="token operator">=</span> a<span class="token punctuation">;</span>
+			a <span class="token operator">=</span> b<span class="token punctuation">;</span>
+			b <span class="token operator">=</span> t<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> b <span class="token operator">&lt;&lt;</span> p<span class="token punctuation">;</span>
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>这个算法的优点在于：它大大优化了大质数的运算。但可惜的是，它的代码量膨胀了8倍，因此不太建议赛时使用。<del>毕竟C++都给你内置了<code>__gcd()</code>函数嘛，干嘛不偷个懒？</del></p>
+<h4 id="div3.-最小公倍数">Div3. 最小公倍数</h4>
+<p>我们可以简单概括成一句话：</p>
+<blockquote>
+<p>两个数的最小公倍数等于这两个数的乘积与这两个数最大公约数的商</p>
+</blockquote>
+<p>即：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.238ex;" xmlns="http://www.w3.org/2000/svg" width="17.307ex" height="3.239ex" role="img" focusable="false" viewBox="0 -884.7 7649.5 1431.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D459" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path></g><g data-mml-node="mi" transform="translate(298,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 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265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mi" transform="translate(477,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(910,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(1430,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1819,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2348,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2626,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3055,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g><rect width="2635.3" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span></p>
+<p><del>凭啥呀？</del></p>
+<p>我们假设两个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>有最大公约数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.839ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3907 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2083.6,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2834.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3335,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.633ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 3816 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2092.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2743.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(3244,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>。并且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>一定互质（若不互质，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>的最大公约数就不会是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>，而是一个比<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>大的值）。</p>
+<p>由乘法交换律，可知：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="34.358ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 15186.3 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(972.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1472.4,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(2509.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3565,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(4546.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(5046.4,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(6074.2,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(7352,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(8324.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(8824.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(9475.7,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(9975.9,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(10825.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(11881.4,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(12862.7,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(13362.9,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(14114.1,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(14614.3,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>消去<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.868ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 5245.4 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(972.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1472.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2179.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3235,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(4216.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(4716.4,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>。因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>互质，所以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="4.302ex" height="1.645ex" role="img" focusable="false" viewBox="0 -716 1901.4 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(972.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1472.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>或者<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="4.549ex" height="1.568ex" role="img" focusable="false" viewBox="0 -683 2010.4 693"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(981.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1481.4,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>即为两个数的最小公倍数。得证。</p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1075">P1075 [NOIP2012
+普及组] 质因数分解</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P2424">P2424 约数和</a>
+（需要逆向思维）</li>
+</ol>
+<h3 id="part4.-欧拉函数相关">Part4. 欧拉函数相关</h3>
+<h4 id="div1.-欧拉函数推导">Div1. 欧拉函数推导</h4>
+<p><del>问：论牧师欧拉有多么的高产</del></p>
+<p><del>答：平均每年800页数学论文你说高不高产嘛</del></p>
+<p><strong>欧拉函数</strong>，记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.004ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2211.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1822.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>中与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质的数的个数，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.014ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4868.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="2200" d="M0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410Z"></path></g><g data-mml-node="mi" transform="translate(556,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1711.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mo" transform="translate(2656.6,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(2934.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3434.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3879.2,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4479.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.494ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5964.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mi" transform="translate(477,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(910,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(1430,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1819,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2419,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2863.7,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3741.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4408.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(5464.2,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的总个数即为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值。举个例子，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.519ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3765.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1043,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(1543,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2209.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3265.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>，因为在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.778ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2111.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1222.7,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(1722.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>中，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>均与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 500 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>互质。特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.519ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3765.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1043,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1543,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2209.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3265.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>欧拉函数有如下计算公式：若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>可被表示为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="10.221ex" height="5.852ex" role="img" focusable="false" viewBox="0 -1540.7 4517.6 2586.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(1933.6,0)"><g data-mml-node="mo" transform="translate(101.8,0)"><path data-c="220F" d="M158 656Q147 684 131 694Q110 707 69 710H55V750H888V710H874Q840 708 820 698T795 678T786 656V-155Q798 -206 874 -210H888V-250H570V-210H584Q618 -208 638 -197T663 -178T673 -155V710H270V277L271 -155Q283 -206 359 -210H373V-250H55V-210H69Q103 -208 123 -197T148 -178T158 -155V656Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(389.6,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="msubsup" transform="translate(3247.9,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="TeXAtom" transform="translate(536,465.2) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D6FC" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path></g><g data-mml-node="mi" transform="translate(673,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mi" transform="translate(536,-293.8) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>（算术基本定理分解式）的形式，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="56.093ex" height="5.852ex" role="img" 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301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><rect width="786.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(24404.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>推导思想即为用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>减去所有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.004ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2211.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1822.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>中所有与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>不互质的数</strong>。在计算机上实现，首先需要分解质因数。思路如下：首先抛出第一个质因数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>，那么将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.753ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2100.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1822.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中所有的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>的倍数删去，因而可以保证筛出的数一定是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的质因子，<strong>否则他们将存在最大公约数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span></strong>。那么能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>整除的数的个数（也就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>以内<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>的倍数个数）为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="3.756ex" height="2.788ex" role="img" focusable="false" viewBox="0 -750 1660.4 1232.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mfrac" transform="translate(278,0)"><g data-mml-node="mi" transform="translate(340.1,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 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102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><rect width="864.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(1382.4,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>——其中的中括号代表整除。</p>
+<p>因此我们离解出欧拉函数就进了一步了，我们的过渡式子就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.113ex;" xmlns="http://www.w3.org/2000/svg" width="44.459ex" height="2.81ex" role="img" focusable="false" viewBox="0 -750 19650.8 1242.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 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3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><rect width="864.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(10552.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g><g data-mml-node="mo" transform="translate(11052.9,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mo" transform="translate(12053.2,0)"><path data-c="22EF" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 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130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><rect width="874.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(19372.8,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><del>好耶</del></p>
+<p>别急着好耶，我们可以发现一个小小的推导谬误（可能并不是很容易发现）。当我们用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.126ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 939.6 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>去筛数时，使用的算式仍然是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="3.756ex" height="2.788ex" role="img" focusable="false" viewBox="0 -750 1660.4 1232.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mfrac" transform="translate(278,0)"><g data-mml-node="mi" transform="translate(340.1,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="msub" transform="translate(220,-345) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><rect width="864.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(1382.4,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>。对于形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.669ex;" xmlns="http://www.w3.org/2000/svg" width="5.016ex" height="2.197ex" role="img" focusable="false" viewBox="0 -675.5 2217.1 971.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(536,-295.7) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msubsup" transform="translate(1010.3,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,363) scale(0.707)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(536,-295.7) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>的数，会被重复筛去多次，导致多减，最终结果会小于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。有些抽象，我们来看这张图：</p>
+<figure>
+<img 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alt="容斥原理">
+<figcaption aria-hidden="true">容斥原理</figcaption>
+</figure>
+<p>易知<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.658ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2500.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1222.7,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(2222.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中可被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>整除的数字共有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.439ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 5056 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3000.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>个，能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除的数字共有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.308ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 4556 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(3000.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g></svg></mjx-container></span>个。但是如果说能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除的数字共有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.439ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 5056 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mo" transform="translate(3000.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>个，显然不合常理，<strong>因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>都既能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>整除，也能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除，如果不加排除，他们将会被减去2次</strong>。因此需要补偿损失，正确的计算方法是（仅计算能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除的数的总个数）：</p>
+<ul>
+<li>能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>整除的：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.439ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 5056 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3000.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>个</li>
+<li>能被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除的：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.308ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 4556 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(3000.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g></svg></mjx-container></span>个</li>
+<li>同时被<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除的：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="27.363ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 12094.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mi" transform="translate(2222.4,0)"><path data-c="1D459" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path></g><g data-mml-node="mi" transform="translate(2520.4,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(2953.4,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(3482.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(3871.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(4371.4,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(4816.1,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(5316.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(5982.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(7038.7,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(8260.9,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="mn" transform="translate(9261.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(10538.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(11594.7,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>个</li>
+<li>总个数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="24.89ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 11001.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1222.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2222.4,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mo" transform="translate(2944.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mo" transform="translate(3944.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(4333.9,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(5056.1,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(6056.3,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(6556.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(7167.6,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(8167.8,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(8945.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(10001.3,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>个（就是被绿圈和橙圈捆住的的数的个数）</li>
+</ul>
+<p>那么对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 500 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>整除问题，中间的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>被重复加了3次，需减去两次平衡收支。此即容斥原理的简单思想表示。</p>
+<p>回到欧拉函数推导上来：过渡公式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="3.967ex" height="1.934ex" role="img" focusable="false" viewBox="0 -705 1753.6 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g data-mml-node="msub" transform="translate(704,0)"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mn" transform="translate(646,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></svg></mjx-container></span>中的容斥问题可以解决一部分了。<strong>对于可同时被两个不同质数整除的数（例如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.176ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 4056 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mo" transform="translate(777.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1833.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(2555.8,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(3556,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.308ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 4556 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g><g data-mml-node="mo" transform="translate(1277.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2333.6,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(3055.8,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(4056,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>），我们加上它的总个数。</strong>
+得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.113ex;" xmlns="http://www.w3.org/2000/svg" width="71.455ex" height="2.81ex" role="img" focusable="false" viewBox="0 -750 31583.1 1242.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g 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+<p>当然这又有一个小问题<del>没完没了了是不是？</del>：<strong>对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="7.635ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 3374.7 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mstyle" transform="translate(939.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="msub" transform="translate(1217.6,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 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102Z"></path></g><g data-mml-node="mn" transform="translate(536,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></svg></mjx-container></span>的公倍数，会被先减去3次，然后被上一步的操作加上3次，总体不加不减</strong>。还是回到上图：中间的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1000 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g></svg></mjx-container></span>会被每个颜色的圈先减去一次、共3次，上一步的补偿操作，可以看作又被橙绿圈（橙圈和绿圈的交集）、蓝绿圈、蓝橙圈一共加上了3次。减3次加3次相当于没动，为了让它被算上，我们需要加上它，对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>则是全部减去（因为<em>括号外有减号需要变号</em>，不要忘记<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>是由一系列不合规的数字个数<em>相减</em>得来的）。得到我们的过渡态3：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.113ex;" xmlns="http://www.w3.org/2000/svg" width="57.445ex" height="2.81ex" role="img" focusable="false" viewBox="0 -750 25390.8 1242.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 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+<p>又是如上的容斥判断，这里我们省去讨论。将最终的产物合并得到：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.113ex;" xmlns="http://www.w3.org/2000/svg" width="48.63ex" height="3.07ex" role="img" focusable="false" viewBox="0 -864.9 21494.6 1357"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g 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+<h4 id="div2.-欧拉函数代码实现">Div2. 欧拉函数代码实现</h4>
+<p><del>主要是如果压成一个Div会非常的长，因此这里新开一个Div2</del></p>
+<p>我们明确了欧拉函数的推导，接下来就是整理思路写代码的时间了！我们也只需跟着原始思路走就可以了。再次回忆一下：首先我们需要筛出质因数，除去它的所有倍数，再用公式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.113ex;" xmlns="http://www.w3.org/2000/svg" width="48.63ex" height="3.07ex" role="img" focusable="false" viewBox="0 -864.9 21494.6 1357"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 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data-mml-node="mfrac" transform="translate(19990.7,0)"><g data-mml-node="mn" transform="translate(380.7,394) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="msub" transform="translate(220,-345) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><rect width="874.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(21105.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>代入<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.878ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 830 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>就可以了。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">long</span> <span class="token keyword">long</span> <span class="token function">eular</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">long</span> <span class="token keyword">long</span> res <span class="token operator">=</span> n<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			res <span class="token operator">=</span> res <span class="token operator">*</span> <span class="token punctuation">(</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token operator">/</span> i<span class="token punctuation">;</span>
+			<span class="token keyword">while</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> n <span class="token operator">/=</span> i<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">&gt;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> res <span class="token operator">*</span> <span class="token punctuation">(</span>n <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token operator">/</span> n<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.848ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 3027 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msqrt" transform="translate(1185,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2638,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：All Clear</p>
+<h4 id="div3.-欧拉函数推论">Div3. 欧拉函数推论</h4>
+<blockquote>
+<ol type="1">
+<li>若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为质数，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="12.43ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5494 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(1546,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2212.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3268.6,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(3993.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(4994,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span></li>
+</ol>
+</blockquote>
+<p>让我们回到欧拉函数的定义上去：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1388,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.176ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1845.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1567.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质的数的个数（特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.519ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3765.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1043,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1543,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2209.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3265.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>）。那么对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>这个质数，有多少数与它互质呢？</p>
+<p>很显然，答案是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.035ex" height="1.946ex" role="img" focusable="false" viewBox="0 -666 2225.4 860"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(725.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1725.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>个！因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>的质因子只有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>本身，若不止<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>一个质因子，很显然它不是一个质数。因此<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="24.042ex" height="3.048ex" role="img" focusable="false" viewBox="0 -864.9 10626.7 1347.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 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0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><rect width="555.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(6678.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(7345.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(8401.2,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(9126.5,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(10126.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<blockquote>
+<ol start="2" type="1">
+<li>假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>是一个质数，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.563ex;" xmlns="http://www.w3.org/2000/svg" width="4.826ex" height="2.26ex" role="img" focusable="false" viewBox="0 -750 2133 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(1232.2,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(1788,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="12.619ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 5577.5 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="msub" transform="translate(2789.6,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(4021.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(5077.5,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>），且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1388,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值已知，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.148ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8463.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(1043,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(2219.6,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g data-mml-node="mi" transform="translate(2941.8,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3286.8,0)"><path 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+</ol>
+</blockquote>
+<p><del>凭啥呀？</del></p>
+<p>因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>已经是一个质数，换句话说：在这个条件下<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.077ex" height="1.934ex" role="img" focusable="false" viewBox="0 -661 2243.8 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(1176.6,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g data-mml-node="mi" transform="translate(1898.8,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的一个质因子。在计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1388,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>时，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>就已经作为一个质因子以<span 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139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><rect width="874.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(3226.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的形式乘进去了。此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g 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387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><rect width="914.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(24132.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(24688.3,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 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385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(28254.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>我们发现：(2)式中包含了(1)式，只是头上乘以了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>。因而得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.148ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8463.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(1043,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(2219.6,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g data-mml-node="mi" transform="translate(2941.8,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 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250Z"></path></g><g data-mml-node="mi" transform="translate(6052.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6397.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(7008.6,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msub" transform="translate(7508.8,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span></p>
+<blockquote>
+<ol start="3" type="1">
+<li>假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>是一个质数，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.57ex;" xmlns="http://www.w3.org/2000/svg" width="4.869ex" height="2.267ex" role="img" focusable="false" viewBox="0 -750 2152 1002"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(1232.2,0)"><path data-c="2224" d="M118 737Q131 750 138 750L151 746L158 739V579L160 421L213 470Q269 519 276 519Q284 519 290 513T296 499V498Q296 493 291 488T244 445Q225 428 213 417L158 368V-239Q143 -252 136 -252L124 -248L120 -241L118 44V328L62 279Q4 231 0 230Q-8 230 -14 236T-20 250Q-20 257 -11 265T62 332L118 384V737Z"></path></g><g data-mml-node="mi" transform="translate(1807,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.486ex;" xmlns="http://www.w3.org/2000/svg" width="12.619ex" height="2.106ex" role="img" focusable="false" viewBox="0 -716 5577.5 931"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="msub" transform="translate(2789.6,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(4021.7,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mn" transform="translate(5077.5,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>），且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1388,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值已知，那么<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="45.45ex" height="3.048ex" role="img" focusable="false" viewBox="0 -864.9 20088.9 1347.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" 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+</ol>
+</blockquote>
+<p>这东西长得和性质2很相似，唯一不同的是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>不再是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的一个质因子了。但是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>变成了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.077ex" height="1.934ex" role="img" focusable="false" viewBox="0 -661 2243.8 855"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(1176.6,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g data-mml-node="mi" transform="translate(1898.8,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的质因子。因此我们计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.316ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3675.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(1043,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(2219.6,0)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g data-mml-node="mi" transform="translate(2941.8,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3286.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值时，不仅需要在头部乘上<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>，而且还需要将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="8.179ex" height="3.048ex" role="img" focusable="false" viewBox="0 -864.9 3615.3 1347.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1111.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mfrac" transform="translate(2111.4,0)"><g data-mml-node="mn" transform="translate(380.7,394) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="msub" transform="translate(220,-345) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><rect width="874.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(3226.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>乘进去：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="45.552ex" height="3.048ex" role="img" focusable="false" viewBox="0 -864.9 20134 1347.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" 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81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><rect width="874.9" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(12412,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(13078.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(14134.6,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(14788.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(15177.6,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(15522.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(16133.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mo" transform="translate(16634,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msub" transform="translate(17023,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(18199.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(19199.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(19699.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>这三个性质将作为重点性质出现在欧拉函数筛法中。</p>
+<h4 id="div4.-欧拉函数线性筛">Div4. 欧拉函数线性筛</h4>
+<p>我们已经接触了简单的欧拉函数计算方法，那么又该如何解决形如：“给定一个正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.213ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3630.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(622.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mo" transform="translate(1567.6,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mi" transform="translate(1845.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2417.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2862.2,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3352.2,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>，求<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.358ex;" xmlns="http://www.w3.org/2000/svg" width="7.109ex" height="5.568ex" role="img" focusable="false" viewBox="0 -1418.5 3142.2 2460.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo" transform="translate(71.3,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-884.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1123,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(426,1006) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mi" transform="translate(1365.2,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(2019.2,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2408.2,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2753.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值”的问题呢？</p>
+<p>考虑继续使用上面的朴素算法，时间复杂度将会是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.491ex;" xmlns="http://www.w3.org/2000/svg" width="4.645ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 2053 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="msqrt" transform="translate(600,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="600" height="60" x="853" y="723"></rect></g></g></g></svg></mjx-container></span>。明显无法满足需求，更何况，每个数与每个数之间的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.493ex;" xmlns="http://www.w3.org/2000/svg" width="1.48ex" height="1.493ex" role="img" focusable="false" viewBox="0 -442 654 660"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g></g></g></svg></mjx-container></span>值之间有一种推导关系，使得我们无需每次重新计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.493ex;" xmlns="http://www.w3.org/2000/svg" width="1.48ex" height="1.493ex" role="img" focusable="false" viewBox="0 -442 654 660"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g></g></g></svg></mjx-container></span>值，而是用已经求出的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>来线性推出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.02ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1777 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1388,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值。</p>
+<p>欧拉函数涉及到质因子的拆分，我们又需要在线性时间内求各种质数。自然而然想到了先前所学的线性筛：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> primes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> cnt <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">sieve</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>st<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> primes<span class="token punctuation">[</span><span class="token operator">++</span>cnt<span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			st<span class="token punctuation">[</span>primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">break</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>我们运用这段代码可以得出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.753ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2100.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1822.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>范围内所有的质数，用<code>st[N]</code>数组可以筛出所有的合数。也就是说对于筛出的合数，我们能够得知组成它的质因子是什么，比如<code>st[primes[j]*i]=true;</code>这一行代码。接着套用上述三种性质，我们可以得出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.493ex;" xmlns="http://www.w3.org/2000/svg" width="1.48ex" height="1.493ex" role="img" focusable="false" viewBox="0 -442 654 660"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g></g></g></svg></mjx-container></span>值。</p>
+<p>此时我们就需要新建一个<code>phi[N]</code>数组来存储每个数的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.493ex;" xmlns="http://www.w3.org/2000/svg" width="1.48ex" height="1.493ex" role="img" focusable="false" viewBox="0 -442 654 660"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g></g></g></svg></mjx-container></span>值，并且在代码中三个地方加入对于三种性质的公式：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+ll primes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> cnt <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+ll phi<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">phi_sieve</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>st<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			primes<span class="token punctuation">[</span><span class="token operator">++</span>cnt<span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+			phi<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> 
+		<span class="token punctuation">}</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			st<span class="token punctuation">[</span>primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				phi<span class="token punctuation">[</span>primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i<span class="token punctuation">]</span> <span class="token operator">=</span> phi<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">*</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span>
+				<span class="token keyword">break</span><span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+			phi<span class="token punctuation">[</span>primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> i<span class="token punctuation">]</span> <span class="token operator">=</span> phi<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">*</span> <span class="token punctuation">(</span>primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><del>没错我开了<code>long long</code>防止爆<code>int</code></del></p>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.919ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2174 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1785,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：普及&amp;提高</p>
+<p>对于开头提出的求和问题，遍历<code>phi[1]</code>到<code>phi[n]</code>的所有值求和即可。</p>
+<h4 id="div5.-欧拉定理">Div5. 欧拉定理</h4>
+<blockquote>
+<p>若正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质，则有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.31ex" height="2.587ex" role="img" focusable="false" viewBox="0 -893.3 8093.1 1143.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 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+</blockquote>
+<p>对于它的证明，<a target="_blank" rel="noopener" href="https://baike.baidu.com/item/%E6%AC%A7%E6%8B%89%E5%AE%9A%E7%90%86/891345?fr=ge_ala#2_2">百度百科</a>中如此写到：</p>
+<blockquote>
+<p>取<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的缩系<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="15.496ex" height="1.798ex" role="img" focusable="false" viewBox="0 -441 6849.2 794.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(965.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1410.2,0)"><g data-mml-node="mi"><path data-c="1D44E" 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+</blockquote>
+<p>通俗来讲就是这样：</p>
+<ol type="1">
+<li>在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.753ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2100.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(278,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(778,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1222.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1822.7,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>中取所有与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质的数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="14.422ex" height="1.798ex" role="img" focusable="false" viewBox="0 -441 6374.6 794.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(965.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(1410.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2542.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(3881.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msub" transform="translate(4325.8,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-176.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></g></g></svg></mjx-container></span>，很容易知道这样的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>共有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>个（根据欧拉函数定义得来）。它们都与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质。</li>
+<li>给这列数同时乘上<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="18.642ex" height="1.798ex" role="img" focusable="false" viewBox="0 -441 8239.6 794.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="msub" transform="translate(529,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1494.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1939.2,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="msub" transform="translate(2468.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(3433.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(3878.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mo" transform="translate(5217.1,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5661.8,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="msub" transform="translate(6190.8,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-176.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></g></g></svg></mjx-container></span>。它们也都和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质，并且各不相同。</li>
+<li>提出括号里乘了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.597ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2032 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>次的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，得到以下关系式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="43.257ex" height="2.821ex" role="img" focusable="false" viewBox="0 -893.3 19119.6 1246.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g 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26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mo" transform="translate(7812.1,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g><g data-mml-node="mo" transform="translate(8367.9,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 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383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(11521.5,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(12860.1,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-176.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mspace" transform="translate(14909,0)"></g><g data-mml-node="mo" transform="translate(15353,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(15742,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(17631,0)"></g><g data-mml-node="mi" transform="translate(18130.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(18730.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></li>
+<li>那么根据同余号两端的消去原则（左右两端两个项相同且与模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质），可以消去<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="12.41ex" height="1.798ex" role="img" focusable="false" viewBox="0 -441 5485.3 794.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(965.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2097.8,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="msub" transform="translate(3436.4,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,-176.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></g></g></svg></mjx-container></span>。得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.31ex" height="2.587ex" role="img" focusable="false" viewBox="0 -893.3 8093.1 1143.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1643,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2326.6,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(3382.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mspace" transform="translate(3882.4,0)"></g><g data-mml-node="mo" transform="translate(4326.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4715.4,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(6604.4,0)"></g><g data-mml-node="mi" transform="translate(7104.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(7704.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，欧拉定理得证。</li>
+<li>特殊地，如果<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 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346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 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287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(7538.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(8205.3,0)"><path data-c="21D2" d="M580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 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transform="translate(16912.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。这被称作费马小定理（先前的费马素性检验就是基于这个原理编写的）。</li>
+</ol>
+<p><del>真不知道明明可以写得通俗点为什么非得省那点空间写看起来那么高深莫测的专业术语，真的是只写给自己看的。</del></p>
+<h4 id="div6.-降幂算法">Div6. 降幂算法</h4>
+<p>尤其对于绿题以上的题目，题面中可能出现“<strong>答案可能很大，请对大质数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>取余</strong>”的字样。这意味着题目可能涉及到大规模的幂运算，需要我们用简便的方法计算幂。对于一般的题目，我们使用快速幂。</p>
+<p><strong>快速幂</strong>：快速幂思想如下：</p>
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442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mn" transform="translate(2873.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3651.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4707.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(13818.3,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>我们将指数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>分解为若干<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.279ex" height="1.528ex" role="img" focusable="false" viewBox="0 -675.5 1007.3 675.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的和（二进制表示），例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="17.919ex" height="2.341ex" role="img" focusable="false" viewBox="0 -952.7 7920.3 1034.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(1596.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2652.7,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(533,363) scale(0.707)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4149.1,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msup" transform="translate(4649.4,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(533,363) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(6145.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msup" transform="translate(6646,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(533,363) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></g></g></svg></mjx-container></span>，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.1ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7116.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g><g data-mml-node="msub" transform="translate(1389,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="TeXAtom" transform="translate(422,-150) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mo" transform="translate(2845.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(3901.7,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(4290.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(1000,0)"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(1500,0)"></path></g><g data-mml-node="msub" transform="translate(6290.7,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mn" transform="translate(422,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>。因而不必将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>连续乘11次，效率大幅提升。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">qpow</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> k<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> a <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span> 
+		k <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.187ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3618.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(2463,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(2629.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：基本All Clear</p>
+<p><strong>欧拉降幂</strong>：上面方法一个缺点在于无法处理过大的指数，在处理类似于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="2.996ex" height="1.925ex" role="img" focusable="false" viewBox="0 -840.7 1324.2 850.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></g></svg></mjx-container></span>的计算时将会疯狂掉san。接下来介绍一种使用上面讲到的欧拉定理来解决大指数幂运算的方法。</p>
+<p>欧拉降幂核心公式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="32.137ex" height="2.46ex" role="img" focusable="false" viewBox="0 -893.3 14204.7 1087.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" 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743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 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107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(4511.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4900.6,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(5678.6,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(6332.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(6721.6,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(7224.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g><g data-mml-node="mo" transform="translate(11534.9,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(13701.7,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>（又称
+<em>扩展欧拉定理</em> ）</p>
+<p>也就是说：我们只需要算出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="22.289ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 9851.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45E" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(737.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1793.6,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2592.3,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(4759.1,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(5413.1,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5802.1,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(6305.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 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394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(8570.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(8959.6,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(9462.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的值，再用快速幂算法，将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.041ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 460 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45E" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>作为新指数带入计算即可。当然，这里的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>可能会爆<code>long long</code>，因此可以选择使用字符串进行高精度计算。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+ll primes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> cnt <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">qpow</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> k<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>k<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>k <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> a <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span> 
+		k <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+ll <span class="token function">eular</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ll res <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>st<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			primes<span class="token punctuation">[</span><span class="token operator">++</span>cnt<span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+			res <span class="token operator">=</span> res <span class="token operator">*</span> <span class="token punctuation">(</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token operator">/</span> i<span class="token punctuation">;</span>
+			<span class="token keyword">while</span> <span class="token punctuation">(</span>n <span class="token operator">%</span> i <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> n <span class="token operator">/=</span> i<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">*</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			st<span class="token punctuation">[</span>i <span class="token operator">*</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">break</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">&gt;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> res <span class="token operator">*</span> <span class="token punctuation">(</span>n <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token operator">/</span> n<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">edp</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> string k<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ll phi <span class="token operator">=</span> <span class="token function">eular</span><span class="token punctuation">(</span>p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> drop <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> k<span class="token punctuation">.</span><span class="token function">length</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		drop <span class="token operator">*=</span> <span class="token number">10</span><span class="token punctuation">;</span>
+		drop <span class="token operator">+=</span> k<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">%</span> phi<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	drop <span class="token operator">+=</span> phi<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token function">qpow</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> drop<span class="token punctuation">,</span> p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span> <span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>其中<code>eular(int n)</code>函数用于计算欧拉函数的值、<code>edp(int a, string k, int p)</code>用于计算降幂后的指数、<code>qpow(int a, int k, int p)</code>是快速幂算法。</p>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.187ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3618.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(2463,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(2629.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围：所有</p>
+<p>扩展欧拉定理可谓是欧拉定理的一般形式，它的定义如下：对于任意正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>，满足：</p>
+$a^k
+<span class="math display"><mjx-container class="MathJax" jax="SVG" display="true"><svg style="vertical-align: -3.722ex;" xmlns="http://www.w3.org/2000/svg" width="49.967ex" height="8.576ex" role="img" focusable="false" viewBox="0 -2145.2 22085.3 3790.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1246.2)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 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+<p>$</p>
+<p>其中第二个式子就是欧拉降幂的核心公式。</p>
+<p>扩展欧拉定理的证明见<a target="_blank" rel="noopener" href="https://zhuanlan.zhihu.com/p/452303582">这里</a>。<del>因为太复杂了我不会证</del></p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P2158">P2158 [SDOI2008]
+仪仗队</a> （欧拉函数板子）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1447">P1447 [NOI2010]
+能量采集</a>（上一个问题的变式）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1226">P1226 [模板]
+快速幂</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P5091">P5091 [模板]
+扩展欧拉定理</a> （欧拉降幂）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4139">P4139
+上帝与集合的正确用法</a> （欧拉降幂+递归）</li>
+</ol>
+<h3 id="part5.-同余方程的解法">Part5. 同余方程的解法</h3>
+<p>这里会涉及到一元线性同余方程，一元线性同余方程组和高次同余方程的算法解法。</p>
+<h4 id="div.1-裴蜀定理">Div.1 裴蜀定理</h4>
+<p>很多人会把他读成裴除（chú）（比如我的某位好友），<strong>这个名词正确的读法是裴蜀（shǔ）</strong>。或者可以直接改称作“贝祖定理”，它的提出者艾蒂安·裴蜀估计怎么也没想到后人居然连他的名字都读不对（想想如果这种事情发生到你身上会怎么样）。你也可以读他名字的法语发音<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="7.032ex" height="1.928ex" role="img" focusable="false" viewBox="0 -841 3108 852"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(759,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(288.6,42) translate(-250 0)"><path data-c="B4" d="M349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699Z"></path></g></g></g><g data-mml-node="mi" transform="translate(1225,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mi" transform="translate(1690,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mi" transform="translate(2175,0)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(2747,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>（显得你很优雅且有文化）。</p>
+<p>切入正题，裴蜀定理表述为：<strong>对于任意正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>，总有整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.287ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6756.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2323.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2752.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3520.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4576,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4965,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(5494,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5938.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(6367.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></strong>，其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.934ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>等价于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.169ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3610.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mi" transform="translate(477,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(910,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(1430,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1819,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2348,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2792.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3221.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，是数论中最大公约数的表述方式。</p>
+<p>首先可以知道<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="31.619ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 13975.4 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(1112.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2112.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2541.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3419.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4475,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 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111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z"></path></g></g><g data-mml-node="mstyle" transform="translate(9513.2,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(9791.2,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(10069.2,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(10347.2,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(10947.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(11391.9,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(12030.7,0)"><path data-c="2260" d="M166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215Z"></path></g><g data-mml-node="mn" transform="translate(13086.4,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 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-250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2458.4,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mi" transform="translate(3014.2,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>都具有约数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.934ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，让他们分别乘上另两个数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.817ex" height="1.441ex" role="img" focusable="false" viewBox="0 -626 361 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>并不会改变<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.934ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>这一约数。所以假设<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.4ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8132.9 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g data-mml-node="mo" transform="translate(797.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1853.6,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2596.8,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mo" transform="translate(3097,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3486,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(4015,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(4459.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(4888.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(5277.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5722.3,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(6521.1,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(7465.9,0)"><g data-mml-node="mi"><path data-c="2124" d="M39 -1Q29 9 29 12Q29 23 60 77T219 337L410 648H364Q261 648 210 628Q168 612 142 588T109 545T97 509T88 490Q85 489 80 489Q72 489 61 503L70 588Q72 607 75 628T79 662T81 675Q84 677 88 681Q90 683 341 683H592Q604 673 604 666Q604 662 412 348L221 37Q221 35 301 35Q406 35 446 48Q504 68 543 111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z"></path></g></g></g></g></svg></mjx-container></span>，有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="16.668ex" height="2.691ex" role="img" focusable="false" viewBox="0 -836.6 7367.3 1189.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mfrac" transform="translate(529,0)"><g data-mml-node="mi" transform="translate(276.6,394) scale(0.707)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><rect width="568.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(1559.6,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2559.8,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mfrac" transform="translate(2988.8,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(247.9,-345) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(4130.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 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750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。在这里，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="13.479ex" height="2.691ex" role="img" focusable="false" viewBox="0 -836.6 5957.8 1189.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(1905.6,0)"><g data-mml-node="mi" transform="translate(276.6,394) scale(0.707)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mi" transform="translate(220,-345) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><rect width="568.4" height="60" x="120" y="220"></rect></g><g data-mml-node="mstyle" transform="translate(2714,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(2992,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(3270,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4037.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(5093.5,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(247.9,-345) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="div2.-扩展欧几里得exgcd">Div2. 扩展欧几里得（EXGCD）</h4>
+<p><del>加了“扩展”二字是不是感觉逼格上来了？</del></p>
+<p>扩展欧几里得算法用于求出线性同余方程的解。线性同余方程，即形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.786ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6977.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(2434.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mspace" transform="translate(2863.6,0)"></g><g data-mml-node="mo" transform="translate(3307.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3696.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5585.6,0)"></g><g data-mml-node="mi" transform="translate(6085.2,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(6588.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的方程，我们需要求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>的值。</p>
+<p>回忆一下欧几里得算法的核心思路：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="35.418ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 15654.6 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2458.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(3514.2,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2169.4,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 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106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(10833.7,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(11640.4,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(13807.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(14236.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(14903,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(15958.8,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(16702,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mo" transform="translate(17202.2,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(17591.2,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(18120.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(18564.9,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(18993.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(19660.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(20716.4,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>。根据余数的定义，有：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="22.511ex" height="2.495ex" role="img" focusable="false" viewBox="0 -750 9949.9 1102.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(1140.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mo" transform="translate(2140.4,0)"><path data-c="230A" d="M174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734Z"></path></g><g data-mml-node="mfrac" transform="translate(2584.4,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(255.4,-345) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><rect width="574.1" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(3398.5,0)"><path data-c="230B" d="M229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734Z"></path></g><g data-mml-node="mo" transform="translate(4064.7,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(4564.9,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(4993.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(5382.9,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(6177.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(7177.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(7606.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8374.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(9429.9,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>那么我们的任务就是求出这里的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>值，因此拆开括号，整理出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>的系数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="21.2ex" height="2.495ex" role="img" focusable="false" viewBox="0 -750 9370.5 1102.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2323.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(2752.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3141.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3853.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mo" transform="translate(4853.9,0)"><path data-c="230A" d="M174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734Z"></path></g><g data-mml-node="mfrac" transform="translate(5297.9,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(255.4,-345) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><rect width="574.1" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(6111.9,0)"><path data-c="230B" d="M229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734Z"></path></g><g data-mml-node="mi" transform="translate(6555.9,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(7127.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(7794.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(8850.5,0)"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>。观察裴蜀定理的形式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.287ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6756.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2323.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2752.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3520.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4576,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4965,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(5494,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5938.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(6367.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，我们得出的式子中，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>变成了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="9.019ex" height="2.495ex" role="img" focusable="false" viewBox="0 -750 3986.5 1102.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(712.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mo" transform="translate(1712.4,0)"><path data-c="230A" d="M174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734Z"></path></g><g data-mml-node="mfrac" transform="translate(2156.4,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(255.4,-345) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><rect width="574.1" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(2970.5,0)"><path data-c="230B" d="M229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734Z"></path></g><g data-mml-node="mi" transform="translate(3414.5,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>。因此每次递归时需要将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的值减去<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="5.145ex" height="2.495ex" role="img" focusable="false" viewBox="0 -750 2274.1 1102.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="230A" d="M174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734Z"></path></g><g data-mml-node="mfrac" transform="translate(444,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(255.4,-345) scale(0.707)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><rect width="574.1" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(1258.1,0)"><path data-c="230B" d="M229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734Z"></path></g><g data-mml-node="mi" transform="translate(1702.1,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>既然我们设计的是一个递归算法，我们就必须明确它的递归出口。根据欧几里得算法，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.846ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 5236.1 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(2973.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3680.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4736.1,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>时，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.148ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4043.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2458.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3514.2,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>。我们把<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="7.698ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 3402.6 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(2973.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>代入发现：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="27.988ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 12370.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mo" transform="translate(2323.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2712.4,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(3519.2,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(5686,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(6115,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(6504,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(7271.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(8327.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(8716.6,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(9245.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(9690.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(10119.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(10786,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(11841.8,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="11.71ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 5176 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2323.4,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mi" transform="translate(2823.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3591.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4647,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>可取任意整数值，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.442ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2405.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。这里我所取的解是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="7.139ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 3155.6 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3155.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。</p>
+<p>最后，因为这本质上还是一个欧几里得算法，所以返回<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.934ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>是有必要的（事实上exgcd算法返回的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.934ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2180.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(918,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1362.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1791.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>将作为推导式中的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.176ex" height="1.593ex" role="img" focusable="false" viewBox="0 -694 520 704"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></svg></mjx-container></span>参与运算）。我们可以写出如下函数。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">exgcd</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">,</span> <span class="token keyword">int</span> <span class="token operator">&amp;</span>x<span class="token punctuation">,</span> <span class="token keyword">int</span> <span class="token operator">&amp;</span>y<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		x <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		y <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">return</span> a<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">int</span> d <span class="token operator">=</span> <span class="token function">exgcd</span><span class="token punctuation">(</span>b<span class="token punctuation">,</span> a <span class="token operator">%</span> b<span class="token punctuation">,</span> y<span class="token punctuation">,</span> x<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	y <span class="token operator">-=</span> a <span class="token operator">/</span> b <span class="token operator">*</span> x<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> d<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.187ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3618.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(2463,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(2629.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>但是，题目中一般不会给出裴蜀定理那样的形式，而是形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.634ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7352.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 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data-mml-node="mi" transform="translate(3696.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5585.6,0)"></g><g data-mml-node="mi" transform="translate(6085.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6963.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的形式，让你求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>的值，并且上述方法仅求出了一元线性同余方程的一组特解，如果题目中让你求出最小<strong>正整数解</strong>呢？接下来就是解决上述问题的方法：</p>
+<p><strong>1. 同余—等式互转</strong>（自己起的名字）：</p>
+<p>在上面的介绍中，我们遇到了一个问题：如何将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.634ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7352.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 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data-mml-node="mi" transform="translate(3696.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5585.6,0)"></g><g data-mml-node="mi" transform="translate(6085.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6963.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>这样的同余式变为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="11.333ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 5009 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2323.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2752.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3520.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4576,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>这样的二元一次不定方程的裴蜀定理形式呢？</p>
+<p>考虑到同余方程的定义（或者你可以把以下关系死记住），得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="13.996ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 6186.1 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3545.6,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4701.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(5757.1,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>。接着由余数定义，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="18.729ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 8278.2 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2434.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2863.6,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3575.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(4576,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(5454,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5898.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6666.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(7611.2,0)"><g data-mml-node="mi"><path data-c="2124" d="M39 -1Q29 9 29 12Q29 23 60 77T219 337L410 648H364Q261 648 210 628Q168 612 142 588T109 545T97 509T88 490Q85 489 80 489Q72 489 61 503L70 588Q72 607 75 628T79 662T81 675Q84 677 88 681Q90 683 341 683H592Q604 673 604 666Q604 662 412 348L221 37Q221 35 301 35Q406 35 446 48Q504 68 543 111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z"></path></g></g></g></g></svg></mjx-container></span>，移项得到：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="12.339ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 5454 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2323.4,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(2752.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3520.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4576,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。提出负号，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.346ex" height="1.903ex" role="img" focusable="false" viewBox="0 -759 3247 841"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(462,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(984.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2040,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2818,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="12.967ex" height="2.181ex" role="img" focusable="false" viewBox="0 -759 5731.5 964"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msup" transform="translate(2323.4,0)"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mi" transform="translate(462,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mi" transform="translate(3029.9,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3797.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4853.5,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。它有解的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.806ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3892.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1155.8,0)"><path data-c="2223" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mo" transform="translate(1711.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2100.6,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(2629.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3074.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(3503.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。经过如上变换后就变成了裴蜀定理的形式，可以直接用<code>exgcd</code>求解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>2. 最值解问题</strong>：</p>
+<p><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/blog/justpureh2o/general-solution-proof-for-2dioequation">二元一次不定方程通解的证明</a></p>
+<h4 id="div3.-中国剩余定理crt">Div3. 中国剩余定理（CRT）</h4>
+<p>又称孙子定理（但我认为还是中国剩余定理听起来更有实力一些），最早见于《孙子算经》中“物不知数”问题，首次提出了有关一元线性同余方程的问题与解法。</p>
+<p>对于一元线性同余方程：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -5.26ex;" xmlns="http://www.w3.org/2000/svg" width="23.847ex" height="11.652ex" role="img" focusable="false" viewBox="0 -2825 10540.6 5150"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g><g data-mml-node="mo" transform="translate(922.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2200.6,0)"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1926)"></path><path data-c="23A9" d="M718 -893L712 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12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,4.702)"></path></svg><svg width="889" height="956" y="-1516" x="0" viewBox="0 168.5 889 956"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,4.702)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,2075)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="msub" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mspace" transform="translate(2871.1,0)"></g><g data-mml-node="mo" transform="translate(3315.1,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" 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49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5593.1,0)"></g><g data-mml-node="msub" 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transform="translate(0,-875)"><g data-mml-node="mtd"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="22EE" d="M78 30Q78 54 95 72T138 90Q162 90 180 74T199 31Q199 6 182 -12T139 -30T96 -13T78 30ZM78 440Q78 464 95 482T138 500Q162 500 180 484T199 441Q199 416 182 398T139 380T96 397T78 440ZM78 840Q78 864 95 882T138 900Q162 900 180 884T199 841Q199 816 182 798T139 780T96 797T78 840Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-2075)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="msub" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 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741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 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131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(7062,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(8340,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>，可以构造以下方法求出通解。</p>
+<p>首先，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="28.474ex" height="5.852ex" role="img" focusable="false" viewBox="0 -1540.7 12585.6 2586.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1328.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(2384.6,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 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+<p>然后，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.091ex;" xmlns="http://www.w3.org/2000/svg" width="20.142ex" height="3.075ex" role="img" focusable="false" viewBox="0 -877 8902.8 1359.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 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transform="translate(8513.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，即除了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.878ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 830 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>外所有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>的乘积。</p>
+<p>接着，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="1.556ex" height="1.773ex" role="img" focusable="false" viewBox="0 -626 688 783.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mi" transform="translate(394,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.934ex" height="1.902ex" role="img" focusable="false" viewBox="0 -683 1297 840.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mi" transform="translate(1003,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>在模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.878ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 830 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>意义下的逆元，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="20.32ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8981.5 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mi" transform="translate(394,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(910.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msub" transform="translate(1410.4,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mi" transform="translate(1003,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(2985.1,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(4040.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mspace" transform="translate(4540.9,0)"></g><g data-mml-node="mo" transform="translate(4984.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5373.9,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(7262.9,0)"></g><g data-mml-node="msub" transform="translate(7762.6,0)"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(8592.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>所以，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.459ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 645 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D446" d="M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z"></path></g></g></g></svg></mjx-container></span>的通解为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="62.258ex" height="5.852ex" role="img" focusable="false" viewBox="0 -1540.7 27518 2586.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="msub" transform="translate(2871.1,0)"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 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55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mn" transform="translate(1003,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 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26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g><g data-mml-node="msub" transform="translate(24535.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 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166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="msub" transform="translate(26221.1,0)"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mi" transform="translate(1003,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="div4.-baby-step-giant-step算法bsgs">Div4. Baby Step Giant
+Step算法（BSGS）</h4>
+<p>这个算法用于解决一元高次同余方程问题，模意义下的对数也可以求。又称“北上广深算法”<del>（想出这种名字的人真是人才）</del>。</p>
+<p>高次同余方程长成这个样子：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.443ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7267.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g><g data-mml-node="mo" transform="translate(1294.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 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250Z"></path></g><g data-mml-node="mi" transform="translate(3612,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5501,0)"></g><g data-mml-node="mi" transform="translate(6000.7,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(6878.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>发现<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>跑到了指数上边<del>真是变态呢</del>。这种问题显然没公式解，于是苦恼的人们只得选择一条略显暴力的求解道路，即<strong>搜索</strong>。严格来说，BSGS所使用的是双搜索，其中的一个变量的搜索步长会长于另一个变量的搜索步长，因而得名“大步小步算法”。<del>或者叫北上广深/拔山盖世算法！</del></p>
+<p><strong>朴素BSGS</strong>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>互质）：不妨令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.308ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 4998 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1905.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(2655.6,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(3238.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(4239,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，原式为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.764ex" height="2.532ex" role="img" focusable="false" viewBox="0 -869.3 8735.6 1119.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(1111,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(1889,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2762.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(3818,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mspace" transform="translate(4247,0)"></g><g data-mml-node="mo" transform="translate(4691,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5080,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(6969,0)"></g><g data-mml-node="mi" transform="translate(7468.6,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8346.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。根据消去原则，两边同乘<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="2.599ex" height="1.937ex" role="img" focusable="false" viewBox="0 -846 1148.7 856"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></g></svg></mjx-container></span>得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="19.904ex" height="2.532ex" role="img" focusable="false" viewBox="0 -869.3 8797.5 1119.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1675.4,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mi" transform="translate(2731.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="msup" transform="translate(3160.2,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g><g data-mml-node="mspace" transform="translate(4308.8,0)"></g><g data-mml-node="mo" transform="translate(4752.8,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(5141.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(7030.8,0)"></g><g data-mml-node="mi" transform="translate(7530.5,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8408.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>接下来我们对同余号右侧的部分求值，再任命一个固定的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.817ex" height="1.441ex" role="img" focusable="false" viewBox="0 -626 361 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>值，使得左侧模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的值等于右侧模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的值。为了快速比对左右侧的值，我们选择将右侧预先计算出来的值存入一个哈希表中，让<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="16.323ex" height="1.939ex" role="img" focusable="false" viewBox="0 -846 7214.8 857"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="msup" transform="translate(429,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g><g data-mml-node="mo" transform="translate(1855.5,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(4022.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(5178,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(6455.8,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>（键为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.569ex" height="1.939ex" role="img" focusable="false" viewBox="0 -846 1577.7 857"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="msup" transform="translate(429,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></g></svg></mjx-container></span>，对应值为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>）。接着就是选择<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.817ex" height="1.441ex" role="img" focusable="false" viewBox="0 -626 361 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>值，计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="10.679ex" height="1.992ex" role="img" focusable="false" viewBox="0 -869.3 4720.2 880.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1675.4,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3842.2,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>并比对了。</p>
+<p>关于哈希表冲突，我们希望找到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="13.608ex" height="2.059ex" role="img" focusable="false" viewBox="0 -716 6014.7 910"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1016.7,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1866.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2922.2,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(3672.2,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(4255.4,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(5255.7,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>的最小值，因而<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>需要尽可能大。每次冲突即代表一个更大的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>值被发现了。因此无需处理冲突问题。</p>
+<p>对于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.817ex" height="1.441ex" role="img" focusable="false" viewBox="0 -626 361 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>的选择。可以发现<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.574ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5115.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1921,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2587.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(4754.6,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>个可能的取值，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.183ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4059 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="230A" d="M174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734Z"></path></g><g data-mml-node="mi" transform="translate(444,0)"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(1098,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1487,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2365,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2754,0)"><g data-mml-node="mo"><path data-c="2F" d="M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z"></path></g></g><g data-mml-node="mi" transform="translate(3254,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(3615,0)"><path data-c="230B" d="M229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734Z"></path></g></g></g></svg></mjx-container></span>个。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.817ex" height="1.441ex" role="img" focusable="false" viewBox="0 -626 361 637"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>取<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.639ex;" xmlns="http://www.w3.org/2000/svg" width="9.543ex" height="2.851ex" role="img" focusable="false" viewBox="0 -977.5 4218 1260"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2308" d="M174 734Q178 746 190 750H298H369Q400 750 411 747T422 730T411 713T372 709Q365 709 345 709T310 710H214V-235Q206 -248 196 -250Q192 -250 189 -249T184 -247T180 -244T178 -241T176 -237T174 -234V734Z"></path></g><g data-mml-node="msqrt" transform="translate(444,0)"><g transform="translate(1020,0)"><g data-mml-node="mi"><path data-c="1D711" d="M92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278Z"></path></g><g data-mml-node="mo" transform="translate(654,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1043,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1921,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g><g data-mml-node="mo" transform="translate(0,67.5)"><path data-c="221A" d="M263 249Q264 249 315 130T417 -108T470 -228L725 302Q981 837 982 839Q989 850 1001 850Q1008 850 1013 844T1020 832V826L741 243Q645 43 540 -176Q479 -303 469 -324T453 -348Q449 -350 436 -350L424 -349L315 -96Q206 156 205 156L171 130Q138 104 137 104L111 130L263 249Z"></path></g><rect width="2310" height="60" x="1020" y="857.5"></rect></g><g data-mml-node="mo" transform="translate(3774,0)"><path data-c="2309" d="M21 717T21 730T32 746T75 750H147H256Q266 742 269 735V-235Q262 -248 251 -250Q247 -250 244 -249T239 -247T235 -244T233 -241T231 -237T229 -234V710H133Q119 710 99 710T71 709Q43 709 32 713Z"></path></g></g></g></svg></mjx-container></span>时最佳。因此代码就可以写出来了。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp">ll <span class="token function">bsgs</span><span class="token punctuation">(</span>ll a<span class="token punctuation">,</span> ll b<span class="token punctuation">,</span> ll m<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	unordered_map<span class="token operator">&lt;</span>ll<span class="token punctuation">,</span> ll<span class="token operator">&gt;</span> hash<span class="token punctuation">;</span>
+	ll bs <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> t <span class="token operator">=</span> <span class="token function">sqrt</span><span class="token punctuation">(</span>m<span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> B <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> B <span class="token operator">&lt;=</span> t<span class="token punctuation">;</span> B<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		bs <span class="token operator">*=</span> a<span class="token punctuation">;</span>
+		bs <span class="token operator">%=</span> m<span class="token punctuation">;</span>
+		hash<span class="token punctuation">[</span>b <span class="token operator">*</span> bs <span class="token operator">%</span> m<span class="token punctuation">]</span> <span class="token operator">=</span> B<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	ll gs <span class="token operator">=</span> bs<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> A <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> A <span class="token operator">&lt;=</span> t<span class="token punctuation">;</span> A<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">auto</span> iter <span class="token operator">=</span> hash<span class="token punctuation">.</span><span class="token function">find</span><span class="token punctuation">(</span>gs<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>iter <span class="token operator">!=</span> hash<span class="token punctuation">.</span><span class="token function">end</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token keyword">return</span> A <span class="token operator">*</span> t <span class="token operator">-</span> it<span class="token operator">-&gt;</span>second<span class="token punctuation">;</span>
+		gs <span class="token operator">*=</span> bs<span class="token punctuation">;</span>
+		gs <span class="token operator">%=</span> m<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> <span class="token operator">-</span><span class="token number">1</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.477ex" height="2.473ex" role="img" focusable="false" viewBox="0 -843 3305 1093"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msqrt" transform="translate(1185,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-17)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="878" height="60" x="853" y="723"></rect></g><g data-mml-node="mo" transform="translate(2916,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p><strong>扩展BSGS</strong>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>不互质）：</p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1082">P1082 [NOIP2012
+提高组] 同余方程</a> (exgcd)</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P5656">P5656 [模板]
+二元一次不定方程 (exgcd)</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1495">P1495 [模板]
+中国剩余定理（CRT）/ 曹冲养猪</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P1516">P1516
+青蛙的约会</a> （CRT+exgcd）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3846">P3846 [TJOI2007]
+可爱的质数/ [模板] BSGS</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P2485">P2485 [SDOI2011]
+计算器</a> （欧拉降幂+乘法逆元+BSGS）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3306">P3306 [SDOI2013]
+随机数生成器</a> （等比数列推导+BSGS）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P4195">P4195 [模板] 扩展
+BSGS/exBSGS</a></li>
+</ol>
+<h3 id="part6.-乘法逆元">Part6. 乘法逆元</h3>
+<p>乘法逆元定义如下（注意和矩阵求逆不是一个东西）：</p>
+<blockquote>
+<p>若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.164ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7586.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1251.4,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2101.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(3157,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3657,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(4323.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mstyle" transform="translate(6490.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(6768.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(7197.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>互质，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>在模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>条件下的乘法逆元，记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="3.429ex" height="1.909ex" role="img" focusable="false" viewBox="0 -833.9 1515.7 843.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span></p>
+</blockquote>
+<p>简单来说乘法逆元<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>就是模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>意义下的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>的倒数。</p>
+<p><strong>费马小定理求逆元</strong>：大部分题目会给出一个质数模数，因而互质是可以保证的。此时我们的乘法逆元就是使式子<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.332ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7660.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(1251.4,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2101.2,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(3157,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3657,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(4323.8,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mstyle" transform="translate(6490.6,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(6768.6,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(7271.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>成立的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值，考虑到模数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为质数，可以带回开头所说的费马小定理中。</p>
+<p>得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.44ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 7708.5 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(503,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1281,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2149.1,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(3204.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3704.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(4371.7,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mstyle" transform="translate(6538.5,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(6816.5,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(7319.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，由于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>互质，消去得：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="20.271ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 8959.9 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msup" transform="translate(1251.4,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(503,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1281,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3400.6,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(4456.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(4956.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(5623.1,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mstyle" transform="translate(7789.9,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(8067.9,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(8570.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，所以乘法逆元为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="11.531ex" height="2.326ex" role="img" focusable="false" viewBox="0 -833.9 5096.9 1027.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(503,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1281,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2149.1,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mstyle" transform="translate(4315.9,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mi" transform="translate(4593.9,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">inv</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">return</span> <span class="token function">qpow</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> p <span class="token operator">-</span> <span class="token number">2</span><span class="token punctuation">,</span> p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span></span></code></pre>
+<p><strong>扩展欧几里得求逆元</strong>：这是万能的方法，对任意模数均成立。它不像上面费马小定理那样限制模数必须是质数，因而只要时间充裕，都建议使用这种求逆元的方式。</p>
+<p>因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.779ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6974.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1378.8,0)"><path data-c="2261" d="M56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56Z"></path></g><g data-mml-node="mn" transform="translate(2434.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mspace" transform="translate(2934.6,0)"></g><g data-mml-node="mo" transform="translate(3378.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(3767.6,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mspace" transform="translate(5656.6,0)"></g><g data-mml-node="mi" transform="translate(6156.2,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(6585.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，运用同余-等式互转可以得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="44.883ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 19838.4 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(529,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1323.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2323.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3101.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 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-165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(17514.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(18570.4,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(19348.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。符合<code>exgcd</code>的形式。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">exgcd</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">,</span> <span class="token keyword">int</span> <span class="token operator">&amp;</span>x<span class="token punctuation">,</span> <span class="token keyword">int</span> <span class="token operator">&amp;</span>y<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		x <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+		y <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+		<span class="token keyword">return</span> a<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">int</span> d <span class="token operator">=</span> <span class="token function">exgcd</span><span class="token punctuation">(</span>b<span class="token punctuation">,</span> a <span class="token operator">%</span> b<span class="token punctuation">,</span> y<span class="token punctuation">,</span> x<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	y <span class="token operator">-=</span> a <span class="token operator">/</span> b <span class="token operator">*</span> x<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> d<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">inv</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> m<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> x<span class="token punctuation">,</span> y<span class="token punctuation">;</span>
+	<span class="token function">exgcd</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> m<span class="token punctuation">,</span> x<span class="token punctuation">,</span> y<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token punctuation">(</span>x <span class="token operator">+</span> m<span class="token punctuation">)</span> <span class="token operator">%</span> m<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p><strong>递推求逆元</strong>：</p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3811">P3811 [模板]
+模意义下的乘法逆元</a> （递推求逆元）</li>
+</ol>
+<p><del>来张弔图</del></p>
+<p><img src="https://pic.imgdb.cn/item/658ec89bc458853aefc1f3ca.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/658ec89bc458853aefc1f3ca.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<h3 id="part7.-矩阵相关">Part7. 矩阵相关</h3>
+<p>矩阵，是一个按照长方排列的实数或复数集合。它最早用来表示方程组中的系数和常数，简单理解就是它将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>元一次方程组中的系数，按照未知数的顺序依次挑出它们的系数组合为矩阵的某一行。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>元一次方程的矩阵有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>列，而行数则取决于方程组中方程的个数。</p>
+<h4 id="div1.-初等行变换">Div1. 初等行变换</h4>
+<p>考虑这个方程组：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="25.591ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 11311.1 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1051)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 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262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(11311.1,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>按照如上所述，将它转换为系数矩阵（只有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.467ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 2416.3 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(572,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1016.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1506.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1951.3,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>的系数）就是：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="15.398ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6806 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5931,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>你也可以写成增广矩阵（与系数矩阵相比多了一列常数，即等号右边的常数，这里用竖线隔开）的形式：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="20.71ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 9154 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 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data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(8279,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>不难看出第一列代表了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>的系数，第二列和第三列是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>的系数。那么如果需要求解这个矩阵（得到方程组的解），我们应该通过初等行变换将它变成方便我们求解的模式。初等行变换内容如下（最好用方程组消元的思想简化理解）：</p>
+<ol type="1">
+<li>交换某两行</li>
+<li>把矩阵的某一行同乘以一个非零的数</li>
+<li>把某行的若干倍加和到另一行</li>
+</ol>
+<p>假设我们有一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>元线性方程组，如何设计算法使计算机能够快速求出它的解呢。我们需要引入<strong>三角矩阵</strong>的概念：</p>
+<p>顾名思义，系数排列看起来像一个三角形的矩阵，叫做三角矩阵。分为上三角矩阵和下三角矩阵。前者的非零系数均分布在对角线的右上方、后者都在左下方，例如矩阵：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -5.317ex;" xmlns="http://www.w3.org/2000/svg" width="27.44ex" height="11.765ex" role="img" focusable="false" viewBox="0 -2850 12128.6 5200"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 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transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(5278,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(7167,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(8931,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,1696)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1706)"></path><svg width="875" height="1782" y="-641" x="0" viewBox="0 402.4 875 1782"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,4.311)"></path></svg></g></g></g></g></svg></mjx-container></span>就是一个上三角矩阵（这里是增广矩阵）。通常用字母<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.735ex" height="1.595ex" role="img" focusable="false" viewBox="0 -683 767 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D448" d="M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z"></path></g></g></g></svg></mjx-container></span>表示，求解线性方程组时经常化为这种形式方便求解：本例中当最后一个未知数（见最后一行）已知时，可以通过向上代入求解每一行中待求的未知数值。</p>
+<p>那么如何将一个一般矩阵转换为上三角矩阵呢？答案是前面介绍过的初等行变换！步骤如下：</p>
+<ol type="1">
+<li>枚举每一列<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>，选出无序组中第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列系数绝对值最大的一行<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>，并移到无序组的最上边。</li>
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>行通过自乘，将第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列的系数变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，并标记<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为有序。</li>
+<li>通过加减有序组中某一行的非零倍，将之后所有行的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列系数化为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。</li>
+</ol>
+<p>文字还是太抽象，我们来举个例子：</p>
+<p>令矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="24.166ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 10681.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2305.6,0)"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 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648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(7501,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>（有序组用绿色表示）</p>
+<p>枚举第一列，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.128ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2266.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(710.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1766.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。开始时，所有行均无序。选出绝对值最大的那一项，本例中为第二行，进行移动，原矩阵变为：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.95ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8376 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 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transform="translate(4167,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(6126,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="5591" y1="-1650" x2="5591" y2="2150"></line></g><g data-mml-node="mo" transform="translate(7501,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>第二步，自乘并标记有序，因此第一行除以<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.532ex" role="img" focusable="false" viewBox="0 -677 500 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>，原矩阵就变成了：</p>
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transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>第三步，将无序组的第<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.98ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 433 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g></svg></mjx-container></span>列消成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。本例中，我们让第二行减去二倍第一行；第三行直接减去第一行，得到：</p>
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431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g><g data-mml-node="mtd" transform="translate(8182,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 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-579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>枚举第二列，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.128ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2266.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mo" transform="translate(710.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1766.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>。第一步，选出第二列系数绝对值最大的那一行，移到无序组最上端。本例中无需移动，自乘<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.816ex;" xmlns="http://www.w3.org/2000/svg" width="3.556ex" height="2.773ex" role="img" focusable="false" viewBox="0 -864.9 1571.6 1225.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mfrac" transform="translate(778,0)"><g data-mml-node="mn" transform="translate(220,394) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(220,-345) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><rect width="553.6" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>，标记有序，原矩阵为：</p>
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1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g 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+<p>最终的最终，第三行减<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="4.023ex" height="1.579ex" role="img" focusable="false" viewBox="0 -676 1778 698"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><path data-c="2E" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z" transform="translate(500,0)"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1278,0)"></path></g></g></g></svg></mjx-container></span>倍第二行，得到我们心心念念的上三角矩阵：</p>
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data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(8543,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 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+<p>我们假设从左到右，分别为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>的系数，竖线右侧为常数。矩阵可以改写成方程组的形式：</p>
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transform="translate(500,0)"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(778,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 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data-mml-node="mo" transform="translate(712.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(1712.4,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(2455.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3511,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1200)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(1242.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2298.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3076.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(11528.4,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>根据最后一行，显然<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.961ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 3076.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(742.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1798.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2576.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>代入2式，解得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.257ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 2323.6 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>，以此类推，由下向上代入解出的值即可，本例的唯一解是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.281ex;" xmlns="http://www.w3.org/2000/svg" width="8.972ex" height="7.692ex" role="img" focusable="false" viewBox="0 -1950 3965.6 3400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1051)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z" transform="translate(0,-551)"></path><path data-c="23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="81" y="1060" x="0" viewBox="0 14.3 889 81"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,0.398)"></path></svg><svg width="889" height="81" y="-641" x="0" viewBox="0 14.3 889 81"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,0.398)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,1200)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,0)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1200)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(742.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1798.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(2576.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3965.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。</p>
+<p>然而心细的你估计发现了疏漏之处：“求一元二次方程时都要先检验根是否存在（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="394" d="M51 0Q46 4 46 7Q46 9 215 357T388 709Q391 716 416 716Q439 716 444 709Q447 705 616 357T786 7Q786 4 781 0H51ZM507 344L384 596L137 92L383 91H630Q630 93 507 344Z"></path></g></g></g></svg></mjx-container></span>判别式法）再来作答，你这里怎么没有讨论根的分布情况呢？”</p>
+<p>事实上，矩阵的解的分布确实不止一种情况，这里是矩阵有唯一解的情况。类比高中立体几何求平面法向量的情景，我们通常都要令某个坐标为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>或者是其他方便于计算的值，这里就是矩阵有无数组解的经典例子。要想系统分析矩阵方程解的数量情况，我们需要引入<strong>秩</strong>的概念。</p>
+<h4 id="div2.-秩">Div2. 秩</h4>
+<p>在上一节中我们通过初等行变换求出了矩阵的解，然而并不是所有矩阵都能轻而易举求出唯一解，因为它可能无解、也有可能无唯一解（默认最高次数为一）。类比一元二次方程中的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="394" d="M51 0Q46 4 46 7Q46 9 215 357T388 709Q391 716 416 716Q439 716 444 709Q447 705 616 357T786 7Q786 4 781 0H51ZM507 344L384 596L137 92L383 91H630Q630 93 507 344Z"></path></g></g></g></svg></mjx-container></span>判别式法，矩阵是否也有判断根存在性的方法？</p>
+<p>答案是：有滴！在矩阵运算中，我们使用<strong>秩</strong>来描述矩阵的一些关于解的个数的关系。秩被定义为：将矩阵通过初等行变换后形成的梯形矩阵中非零行的个数。试看如下例子：</p>
+<p>定义一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 2222.4 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>的矩阵：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="11.878ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 5250 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4375,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>经过初等行变换后出现了这样的情况：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="13.638ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6028 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g><g data-mml-node="mtd" transform="translate(3778,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5153,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>(第二行减去乘3的第一行，第一行乘2减去第三行)</p>
+<p>第二行变成了纯<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>的一行，一、三行说什么都无法消成一个未知数的形式。如果写成方程组就是：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="14.087ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 6226.6 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1294.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2294.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3062.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(4118,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1212.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2212.4,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(2712.4,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(3455.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msub" transform="translate(4511,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mn" transform="translate(562,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(6226.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span></p>
+<p>它有无数组解，原因是：<strong>矩阵的秩与矩阵增广矩阵的秩相等且小于了它的阶</strong>。简单来说就是你用两个方程去求三个未知数的值（初一内容），当然是有无数多组解。</p>
+<p>规定对于矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，它的秩用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.174ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2287 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>表示（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.477ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1979 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(451,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(840,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1590,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.656ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2500 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(451,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(972,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1361,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(2111,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.21ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3629 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(451,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(980,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1580,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2101,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2490,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(3240,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>均可）。因此令方程组的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>阶增广矩阵秩为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.174ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2287 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，系数矩阵的秩为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.195ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2296 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1907,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。矩阵有无数组解的条件就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.569ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4229.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1907,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2573.8,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mi" transform="translate(3629.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>（严格来说：有无数组解的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>）</p>
+<p>看第二个例子：</p>
+<p>定义增广矩阵：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="19.013ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8403.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2305.6,0)"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g><g data-mml-node="mtd" transform="translate(3459,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3070,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g><g data-mml-node="mtd" transform="translate(3459,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="2535" y1="-1650" x2="2535" y2="2150"></line></g><g data-mml-node="mo" transform="translate(5223,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>；它的系数矩阵：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="13.721ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6064.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2314.6,0)"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 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289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2875,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>。</p>
+<p>增广矩阵变换后：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="14.928ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6598 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3070,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="2535" y1="-1650" x2="2535" y2="2150"></line></g><g data-mml-node="mo" transform="translate(5723,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>；系数矩阵：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="8.484ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 3750 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2875,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>根据定义，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.323ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4120.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3620.6,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.343ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4129.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1907,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2573.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(3629.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>，此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.386ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5916.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。方程组无解。因而矩阵无解的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.386ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5916.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。简单理解起来就是方程组中的两个方程起了冲突，矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>被省去的其中一步变换是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="14.928ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6598 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3070,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><line data-line="v" class="mjx-solid" x1="2535" y1="-1650" x2="2535" y2="2150"></line></g><g data-mml-node="mo" transform="translate(5723,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>，第一行和第三行相当于要你求解如下的方程组：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="6.954ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 3073.6 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3073.6,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。显然矛盾，因此矩阵无解。</p>
+<p>加上第一节里面的结论，我们总结出了矩阵解分布的三种情况（方程组的增广矩阵为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>、系数矩阵为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>，阶为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>）：</p>
+<ol type="1">
+<li>当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>时，矩阵有唯一解</li>
+<li>当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="17.76ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7850.1 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6194.3,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mi" transform="translate(7250.1,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>时，矩阵有无数解</li>
+<li>当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.386ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5916.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(4379.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4768.6,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(5527.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>时，矩阵无解</li>
+</ol>
+<p>因此就有了一套组合算法：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">110</span></span></span>
+
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">NO_SOLUTION</span> <span class="token expression"><span class="token operator">-</span><span class="token number">1</span></span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">INFINITE</span> <span class="token expression"><span class="token number">0</span></span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">SOLVE_OK</span> <span class="token expression"><span class="token number">1</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">double</span> mat<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> n<span class="token punctuation">;</span>
+<span class="token keyword">double</span> eps <span class="token operator">=</span> <span class="token number">1e-6</span><span class="token punctuation">;</span>
+ 
+<span class="token keyword">int</span> <span class="token function">solve</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> rank <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> c <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">,</span> r <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> c <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> c<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">int</span> t <span class="token operator">=</span> r<span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> r<span class="token punctuation">;</span> i <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">&gt;</span> <span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>t<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">)</span> t <span class="token operator">=</span> i<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>t<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">&lt;</span> eps<span class="token punctuation">)</span> <span class="token keyword">continue</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> c<span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token function">swap</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>r<span class="token punctuation">]</span><span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">,</span> mat<span class="token punctuation">[</span>t<span class="token punctuation">]</span><span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> n<span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> c<span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> mat<span class="token punctuation">[</span>r<span class="token punctuation">]</span><span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">/=</span> mat<span class="token punctuation">[</span>r<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> r <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">&gt;</span> eps<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> n<span class="token punctuation">;</span> j <span class="token operator">&gt;=</span> c<span class="token punctuation">;</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+					mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">-=</span> <span class="token punctuation">(</span>mat<span class="token punctuation">[</span>r<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>c<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+				<span class="token punctuation">}</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		r<span class="token operator">++</span><span class="token punctuation">;</span>
+		rank <span class="token operator">=</span> r<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>rank <span class="token operator">&lt;</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> rank<span class="token punctuation">;</span> i <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> j <span class="token operator">&lt;</span> n <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+				<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">&gt;</span> eps<span class="token punctuation">)</span> <span class="token keyword">return</span> NO_SOLUTION<span class="token punctuation">;</span>
+			<span class="token punctuation">}</span>
+		<span class="token punctuation">}</span>
+		<span class="token keyword">return</span> INFINITE<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> n <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> i <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span> <span class="token operator">-=</span> mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">*</span> mat<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> SOLVE_OK<span class="token punctuation">;</span>
+<span class="token punctuation">}</span> 
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	cin<span class="token operator">&gt;&gt;</span>n<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> j <span class="token operator">&lt;</span> n <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> 
+			cin<span class="token operator">&gt;&gt;</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token function">solve</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>res <span class="token operator">!=</span> SOLVE_OK<span class="token punctuation">)</span> cout<span class="token operator">&lt;&lt;</span>res<span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">else</span> <span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">&lt;</span> eps<span class="token punctuation">)</span> mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">fabs</span><span class="token punctuation">(</span>mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token function">printf</span><span class="token punctuation">(</span><span class="token string">"x%d=%.2lf\n"</span><span class="token punctuation">,</span> i <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">,</span> mat<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>n<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span> 
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.906ex" height="2.451ex" role="img" focusable="false" viewBox="0 -833.2 2610.6 1083.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(633,363) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(2221.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p><del>以后上大学解高次线性方程就可以用这段程序秒了。</del></p>
+<h4 id="div3.-矩阵基本运算">Div3. 矩阵基本运算</h4>
+<p><strong>1. 加法</strong>：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="66.617ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 29444.9 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path></g><g data-mml-node="mtable" transform="translate(736,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4236,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g><g data-mml-node="mo" transform="translate(5194.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g 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347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 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611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 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1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g></g></g></svg></mjx-container></span></p>
+<p>注意类比<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>元一次方程组的加减消元，两个矩阵相加意味着同一位置的元素相加。需要注意：<strong>只有同型的矩阵才有加法运算</strong>（同型即行数列数相等）。</p>
+<p>可以知道，四则运算的加法交换律和结合律仍然适用于矩阵加法。</p>
+<p><strong>2. 减法</strong>：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="69.007ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 30500.9 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path></g><g data-mml-node="mtable" transform="translate(736,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 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+<p>加法的逆运算，让矩阵同一位置的元素相减即可。也是仅限于同型矩阵之间才可做减法。</p>
+<p><strong>3. 数乘</strong>：</p>
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+<p>即矩阵中每个元素都跟数字相乘。符合乘法交换律和结合律</p>
+<p><strong>矩阵的加法、减法和数乘合称为矩阵的线性运算</strong></p>
+<p><strong>4. 转置</strong>：</p>
+<p>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的转置矩阵用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.011ex" height="1.904ex" role="img" focusable="false" viewBox="0 -841.7 1330.8 841.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>表示。</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="24.064ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 10636.4 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path></g><g data-mml-node="mtable" transform="translate(736,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4236,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g><g data-mml-node="mi" transform="translate(5005,1177.1) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(5830.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mrow" transform="translate(6886.4,0)"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 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495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2875,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span></p>
+<p>直观来讲就是将原矩阵旋转一下（行和列互换）。满足如下性质：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="10.799ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 4773.2 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(389,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="msup" transform="translate(1719.8,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(2967.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4023.2,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>
+(转置一次后再转置一次还是原来的矩阵)</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="13.437ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 5939.2 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D706" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path></g><g data-mml-node="mi" transform="translate(972,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(1722,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(2969.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4025.4,0)"><path data-c="1D706" d="M166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673Z"></path></g><g data-mml-node="msup" transform="translate(4608.4,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>
+（常数转置后就是它本身）</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.547ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 6872 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(1139,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="msup" transform="translate(1898,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(422,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(3145.6,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(4201.4,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="msup" transform="translate(5532.2,0)"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(792,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>
+（上一条是它的特殊形式，类比两数乘积的幂）</p>
+<p><strong>5. 共轭</strong>：</p>
+<p>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的共轭矩阵用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="2.337ex" role="img" focusable="false" viewBox="0 -1033 750 1033"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(0,648)"><svg width="750" height="237" x="0" y="148" viewBox="187.5 148 750 237"><path data-c="2013" d="M0 248V285H499V248H0Z" transform="scale(2.25,1)"></path></svg></g></g></g></g></svg></mjx-container></span>表示。</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="18.027ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 7968 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="3D" d="M56 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38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5148.4,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 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+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="19.787ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 8746 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(0,648)"><svg 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61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mtd" transform="translate(4128.9,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 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137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(5926.4,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g></g></g></svg></mjx-container></span></p>
+<p>类比共轭复数的定义：实部不变、虚部取相反数。矩阵共轭变换就是将矩阵中的所有复数变为其共轭形式。</p>
+<p><strong>6. 共轭转置</strong>：</p>
+<p>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的共轭转置矩阵记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.685ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 1186.6 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(783,363) scale(0.707)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.011ex" height="2.803ex" role="img" focusable="false" viewBox="0 -1238.8 1330.8 1238.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(0,648)"><svg width="750" height="237" x="0" y="148" viewBox="187.5 148 750 237"><path data-c="2013" d="M0 248V285H499V248H0Z" transform="scale(2.25,1)"></path></svg></g></g><g data-mml-node="mi" transform="translate(783,760.1) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.011ex" height="2.454ex" role="img" focusable="false" viewBox="0 -1084.7 1330.8 1084.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mover"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 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9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g><g data-mml-node="mo" transform="translate(0,699.7)"><svg width="1330.8" height="237" x="0" y="148" viewBox="332.7 148 1330.8 237"><path data-c="2013" d="M0 248V285H499V248H0Z" transform="scale(3.992,1)"></path></svg></g></g></g></g></svg></mjx-container></span>或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.305ex" height="1.914ex" role="img" focusable="false" viewBox="0 -846 1460.9 846"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 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26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mtd" transform="translate(3067.4,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mi" transform="translate(2222.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 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149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(783.7,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g><g data-mml-node="mtd" transform="translate(3539.7,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(1278,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mtd" transform="translate(6634.9,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" 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+<p>字面意思，先取共轭，再转置。它具备转置矩阵的三条性质。</p>
+<h4 id="div4.-矩阵乘法">Div4. 矩阵乘法</h4>
+<p><strong>只有一个矩阵的行数和另一个矩阵的列数相等时才可进行乘法运算</strong>。</p>
+<p>例如一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.261ex" height="1.55ex" role="img" focusable="false" viewBox="0 -491 2325.4 685"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1822.4,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="16.465ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 7277.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1027.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2305.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 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166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4236,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g></g></g></svg></mjx-container></span>和一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="5.89ex" height="1.55ex" role="img" focusable="false" viewBox="0 -491 2603.4 685"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 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73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="13.721ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 6064.6 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1036.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2314.6,0)"><g 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418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(2875,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>。记它们的乘积<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="8.151ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 3602.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mo" transform="translate(1037.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2093.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 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253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>中的某个元素<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.411ex;" xmlns="http://www.w3.org/2000/svg" width="48.111ex" height="5.494ex" role="img" focusable="false" viewBox="0 -1362.5 21265.1 2428.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="TeXAtom" 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286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></svg></mjx-container></span>。并且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="6.11ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2700.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 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373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的矩阵。</p>
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186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 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436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(500,0)"></path></g></g></g></g><g data-mml-node="mo" transform="translate(3736,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g></g></g></svg></mjx-container></span></p>
+<p>它满足结合律、分配律，但是大多数情况下不满足交换律。交换律不成立可以看到下面这个例子：</p>
+<p>首先根据定义，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>矩阵的行列数取决于做乘法的两个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>的行列数，比如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 2222.4 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 2222.4 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>矩阵相乘，得到一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 2222.4 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>矩阵，但是将它颠倒顺序，让一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 2222.4 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></svg></mjx-container></span>矩阵与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 2222.4 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>矩阵相乘，结果将是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="5.028ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 2222.4 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g></svg></mjx-container></span>矩阵，和前者行列数相反。</p>
+<p>对于结果是正方形矩阵的，可以自己随便设置两个矩阵进行计算。但是部分矩阵仍然可以进行交换律运算：矩阵乘一个单位矩阵/数量矩阵[<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.868ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 4361.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(1791.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2847.6,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mi" transform="translate(3611.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>/<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.746ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6959.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1139,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(1660,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(2424,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3090.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4146.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4535.6,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(5056.6,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(5820.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(6209.6,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>]、矩阵乘它的伴随矩阵（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="11.78ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 5206.7 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(750,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(783,363) scale(0.707)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g></g><g data-mml-node="mo" transform="translate(2214.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(3270.1,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(783,363) scale(0.707)"><path data-c="2217" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g></g><g data-mml-node="mi" transform="translate(4456.7,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>）。</p>
+<h4 id="div5.-其他常用类型的矩阵">Div5. 其他常用类型的矩阵</h4>
+<p><strong>1. 零矩阵</strong>：顾名思义，由<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>组成的矩阵称作零矩阵。零矩阵不可逆，且任何符合条件的矩阵与一个零矩阵的积均为零矩阵。</p>
+<p><strong>2. 单位矩阵</strong>：形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="11.878ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 5250 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4375,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>的矩阵被称作单位矩阵，通常用字母<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>或<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.14ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 504 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43C" d="M43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1Z"></path></g></g></g></svg></mjx-container></span>表示。单位矩阵指仅对角线系数为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>、且其他系数为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>的矩阵。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>阶矩阵与它的逆矩阵相乘得到的结果就是一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>阶单位矩阵，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.372ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4584.2 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="msup" transform="translate(750,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2764.5,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3820.2,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>3. 数量矩阵</strong>：形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="18.605ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 8223.2 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mtd" transform="translate(1531.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3052.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd" transform="translate(10.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1521,0)"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mtd" transform="translate(3052.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd" transform="translate(10.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1531.5,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3042,0)"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4438,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g><g data-mml-node="mo" transform="translate(5313,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(5757.7,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(6556.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(7501.2,0)"><g data-mml-node="mi"><path data-c="211D" d="M17 665Q17 672 28 683H221Q415 681 439 677Q461 673 481 667T516 654T544 639T566 623T584 607T597 592T607 578T614 565T618 554L621 548Q626 530 626 497Q626 447 613 419Q578 348 473 326L455 321Q462 310 473 292T517 226T578 141T637 72T686 35Q705 30 705 16Q705 7 693 -1H510Q503 6 404 159L306 310H268V183Q270 67 271 59Q274 42 291 38Q295 37 319 35Q344 35 353 28Q362 17 353 3L346 -1H28Q16 5 16 16Q16 35 55 35Q96 38 101 52Q106 60 106 341T101 632Q95 645 55 648Q17 648 17 665ZM241 35Q238 42 237 45T235 78T233 163T233 337V621L237 635L244 648H133Q136 641 137 638T139 603T141 517T141 341Q141 131 140 89T134 37Q133 36 133 35H241ZM457 496Q457 540 449 570T425 615T400 634T377 643Q374 643 339 648Q300 648 281 635Q271 628 270 610T268 481V346H284Q327 346 375 352Q421 364 439 392T457 496ZM492 537T492 496T488 427T478 389T469 371T464 361Q464 360 465 360Q469 360 497 370Q593 400 593 495Q593 592 477 630L457 637L461 626Q474 611 488 561Q492 537 492 496ZM464 243Q411 317 410 317Q404 317 401 315Q384 315 370 312H346L526 35H619L606 50Q553 109 464 243Z"></path></g></g></g></g></svg></mjx-container></span>的矩阵叫数量矩阵，可以看作实数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></svg></mjx-container></span>与单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>进行数乘运算后的结果，通常表示成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="9.491ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 4195.2 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(521,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(1285,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1729.7,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2528.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(3473.2,0)"><g data-mml-node="mi"><path data-c="211D" d="M17 665Q17 672 28 683H221Q415 681 439 677Q461 673 481 667T516 654T544 639T566 623T584 607T597 592T607 578T614 565T618 554L621 548Q626 530 626 497Q626 447 613 419Q578 348 473 326L455 321Q462 310 473 292T517 226T578 141T637 72T686 35Q705 30 705 16Q705 7 693 -1H510Q503 6 404 159L306 310H268V183Q270 67 271 59Q274 42 291 38Q295 37 319 35Q344 35 353 28Q362 17 353 3L346 -1H28Q16 5 16 16Q16 35 55 35Q96 38 101 52Q106 60 106 341T101 632Q95 645 55 648Q17 648 17 665ZM241 35Q238 42 237 45T235 78T233 163T233 337V621L237 635L244 648H133Q136 641 137 638T139 603T141 517T141 341Q141 131 140 89T134 37Q133 36 133 35H241ZM457 496Q457 540 449 570T425 615T400 634T377 643Q374 643 339 648Q300 648 281 635Q271 628 270 610T268 481V346H284Q327 346 375 352Q421 364 439 392T457 496ZM492 537T492 496T488 427T478 389T469 371T464 361Q464 360 465 360Q469 360 497 370Q593 400 593 495Q593 592 477 630L457 637L461 626Q474 611 488 561Q492 537 492 496ZM464 243Q411 317 410 317Q404 317 401 315Q384 315 370 312H346L526 35H619L606 50Q553 109 464 243Z"></path></g></g></g></g></svg></mjx-container></span>。矩阵与一个数量矩阵的乘积满足乘法交换律。</p>
+<p><strong>4. 逆矩阵</strong>：如果存在一个矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>和单位矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.729ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 764 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g></g></g></svg></mjx-container></span>，使得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="14.591ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 6449.1 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(750,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mo" transform="translate(1786.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2842.6,0)"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(3884.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(4940.1,0)"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g><g data-mml-node="mi" transform="translate(5699.1,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，则称矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>可逆，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的逆矩阵，也可记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="3.929ex" height="1.887ex" role="img" focusable="false" viewBox="0 -833.9 1736.7 833.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。单位矩阵的逆矩阵是它本身；零矩阵不可逆。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>阶矩阵可逆的充要条件是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.549ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4220.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D445" d="M230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554Z"></path></g><g data-mml-node="mo" transform="translate(759,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1148,0)"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(1898,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2564.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3620.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p><strong>5.
+对称矩阵</strong>：转置矩阵与自身相等的矩阵叫做对称矩阵，特征是所有元素关于对角线对称，例如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -3.733ex;" xmlns="http://www.w3.org/2000/svg" width="11.878ex" height="8.597ex" role="img" focusable="false" viewBox="0 -2150 5250 3800"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="239B" d="M837 1154Q843 1148 843 1145Q843 1141 818 1106T753 1002T667 841T574 604T494 299Q417 -84 417 -609Q417 -641 416 -647T411 -654Q409 -655 366 -655Q299 -655 297 -654Q292 -652 292 -643T291 -583Q293 -400 304 -242T347 110T432 470T574 813T785 1136Q787 1139 790 1142T794 1147T796 1150T799 1152T802 1153T807 1154T813 1154H819H837Z" transform="translate(0,996)"></path><path data-c="239D" d="M843 -635Q843 -638 837 -644H820Q801 -644 800 -643Q792 -635 785 -626Q684 -503 605 -363T473 -75T385 216T330 518T302 809T291 1093Q291 1144 291 1153T296 1164Q298 1165 366 1165Q409 1165 411 1164Q415 1163 416 1157T417 1119Q417 529 517 109T833 -617Q843 -631 843 -635Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239C" d="M413 -9Q412 -9 407 -9T388 -10T354 -10Q300 -10 297 -9Q294 -8 293 -5Q291 5 291 127V300Q291 602 292 605L296 609Q298 610 366 610Q382 610 392 610T407 610T412 609Q416 609 416 592T417 473V127Q417 -9 413 -9Z" transform="scale(1,0.924)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mn"><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g></g><g data-mml-node="mtd" transform="translate(3000,0)"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4375,0)"><path data-c="239E" d="M31 1143Q31 1154 49 1154H59Q72 1154 75 1152T89 1136Q190 1013 269 873T401 585T489 294T544 -8T572 -299T583 -583Q583 -634 583 -643T577 -654Q575 -655 508 -655Q465 -655 463 -654Q459 -653 458 -647T457 -609Q457 -58 371 340T100 1037Q87 1059 61 1098T31 1143Z" transform="translate(0,996)"></path><path data-c="23A0" d="M56 -644H50Q31 -644 31 -635Q31 -632 37 -622Q69 -579 100 -527Q286 -228 371 170T457 1119Q457 1161 462 1164Q464 1165 520 1165Q575 1165 577 1164Q582 1162 582 1153T583 1093Q581 910 570 752T527 400T442 40T300 -303T89 -626Q78 -640 75 -642T61 -644H56Z" transform="translate(0,-1006)"></path><svg width="875" height="382" y="59" x="0" viewBox="0 86.3 875 382"><path data-c="239F" d="M579 -9Q578 -9 573 -9T554 -10T520 -10Q466 -10 463 -9Q460 -8 459 -5Q457 5 457 127V300Q457 602 458 605L462 609Q464 610 532 610Q548 610 558 610T573 610T578 609Q582 609 582 592T583 473V127Q583 -9 579 -9Z" transform="scale(1,0.924)"></path></svg></g></g></g></g></svg></mjx-container></span>。对称矩阵必为方形矩阵，反之不一定成立，对于一个方形矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="7.473ex" height="2.09ex" role="img" focusable="false" viewBox="0 -841.7 3303.2 923.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(972.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msup" transform="translate(1972.4,0)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g></g></g></g></svg></mjx-container></span>必定是对称矩阵。</p>
+<h4 id="div6.-矩阵的几何表示">Div6. 矩阵的几何表示</h4>
+<p>平面直角坐标系上，一个向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.243ex" height="2.477ex" role="img" focusable="false" viewBox="0 -845 4085.2 1095"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(1862.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(2251.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2751.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(3196.2,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(3696.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>可以被表示成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="3.52ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 1556 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>的形式，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="3.683ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 1628 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1100,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>计算机中，用两个不共线向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="2.432ex" role="img" focusable="false" viewBox="0 -1064 345 1075"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(172.5,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="2.869ex" role="img" focusable="false" viewBox="0 -1064 412 1268"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(206,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>能够表示整个平面直角坐标系。运用一点高中数学的空间几何知识，这里的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="2.432ex" role="img" focusable="false" viewBox="0 -1064 345 1075"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(172.5,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="0.932ex" height="2.869ex" role="img" focusable="false" viewBox="0 -1064 412 1268"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(206,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>被称作基底（当然，如果需要描述三维空间坐标系，则需要三个不共线的基底向量）。于是我们使用矩阵<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.249ex;" xmlns="http://www.w3.org/2000/svg" width="8.826ex" height="5.63ex" role="img" focusable="false" viewBox="0 -1494.2 3901.3 2488.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,744.2)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(1899,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,-150) scale(0.707)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g><g data-mml-node="mtd" transform="translate(1940,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g></g></g></g></g></g><g data-mml-node="mo" transform="translate(3373.3,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>来描述这个平面直角坐标系就是非常简洁明了且优雅的了。</p>
+<p>假设我们常规想法中的平面直角坐标系是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="6.914ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 3056 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(2528,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>，经过一轮线性变换后得到的新坐标系是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="8.674ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 3834 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1500,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(3306,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。用一张图看一下变换后的坐标系：</p>
+<p><img src="https://pic1.zhimg.com/80/v2-030b79fb2087c47de91dddb7de21ab68_720w.webp" class="lazyload" data-srcset="https://pic1.zhimg.com/80/v2-030b79fb2087c47de91dddb7de21ab68_720w.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>如果在最开始的坐标系中有一个向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="8.237ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 3640.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2084.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mn"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>，我们如何在新的坐标系中表示它呢？再根据我们高中数学所学，只需要算出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.462ex;" xmlns="http://www.w3.org/2000/svg" width="6.741ex" height="2.869ex" role="img" focusable="false" viewBox="0 -1064 2979.4 1268"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(500,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(172.5,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1067.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2067.4,0)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2567.4,0)"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D457" d="M297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376Z"></path></g><g data-mml-node="mo" transform="translate(206,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>的值即可。因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="2.432ex" role="img" focusable="false" viewBox="0 -1064 345 1075"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(172.5,250) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g></g></g></svg></mjx-container></span>是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>轴的基底，相当于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>上的一个单位，我们求新向量时只需求出在新的参考系中的新<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>值，因而直接用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>方向的系数乘以一个单位即可，在这里就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="17.098ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 7557.3 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mrow" transform="translate(1222.4,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(1028,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g><g data-mml-node="mo" transform="translate(3000.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(4000.9,0)"><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g><g data-mml-node="mo" transform="translate(4723.1,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mrow" transform="translate(5223.3,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd" transform="translate(389,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(1806,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>，得到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="9.997ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 4418.6 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(264.5,31) translate(-250 0)"><path data-c="20D7" d="M377 694Q377 702 382 708T397 714Q404 714 409 709Q414 705 419 690Q429 653 460 633Q471 626 471 615Q471 606 468 603T454 594Q411 572 379 531Q377 529 374 525T369 519T364 517T357 516Q350 516 344 521T337 536Q337 555 384 595H213L42 596Q29 605 29 615Q29 622 42 635H401Q377 673 377 694Z"></path></g></g></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mrow" transform="translate(2084.6,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd" transform="translate(139,0)"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z" transform="translate(500,0)"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1806,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>抽象之后变成：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="39.939ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 17653 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1574.5,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(48,0)"><g data-mml-node="mstyle" fill="red" stroke="red"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g></g></g><g data-mml-node="mtd" transform="translate(1529,0)"><g data-mml-node="mstyle" fill="green" stroke="green"><g data-mml-node="mi"><path data-c="1D451" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(2577,0) translate(0 -0.5)"><path data-c="5D" d="M11 1388V1450H280V-949H11V-887H218V1388H11Z"></path></g></g><g data-mml-node="mrow" transform="translate(3271.7,0)"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="5B" d="M247 -949V1450H516V1388H309V-887H516V-949H247Z"></path></g><g data-mml-node="mtable" transform="translate(528,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(41,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 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+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="6.919ex" height="1.643ex" role="img" focusable="false" viewBox="0 -704 3058 726"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D447" d="M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z"></path></g><g data-mml-node="mi" transform="translate(704,0)"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g><g data-mml-node="mi" transform="translate(1467,0)"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g><g data-mml-node="mi" transform="translate(2295,0)"><path data-c="1D442" d="M740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476Z"></path></g></g></g></svg></mjx-container></span></p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3389">P3389 [模板]
+高斯消元法</a> （上三角矩阵的转换）</li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P2455">P2455 [SDOI2006]
+线性方程组</a> （前一道题的升级版）</li>
+</ol>
+<h3 id="part8.-组合计数">Part8. 组合计数</h3>
+<h4 id="starterdiv1.-阶乘概述">StarterDiv1. 阶乘概述</h4>
+<p>阶乘，数学中用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 278 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g></g></svg></mjx-container></span>表示，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="8.749ex" height="2.059ex" role="img" focusable="false" viewBox="0 -716 3867.2 910"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g><g data-mml-node="mo" transform="translate(878,0)"><path data-c="2C" d="M78 35T78 60T94 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341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g></g></g></svg></mjx-container></span>表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="31.741ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 14029.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mo" transform="translate(1822.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(2211.4,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3033.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(4033.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(4533.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(5145.1,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mo" transform="translate(6145.3,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(6534.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(7356.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(8356.8,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(8856.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(9412.4,0)"><path data-c="22EF" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250Z"></path></g><g data-mml-node="mo" transform="translate(10806.7,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(11806.9,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(12529.1,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mn" transform="translate(13529.3,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的值，即<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="9.668ex" height="5.807ex" role="img" focusable="false" viewBox="0 -1520.9 4273.4 2566.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="munderover"><g data-mml-node="mo" transform="translate(192,0)"><path data-c="220F" d="M158 656Q147 684 131 694Q110 707 69 710H55V750H888V710H874Q840 708 820 698T795 678T786 656V-155Q798 -206 874 -210H888V-250H570V-210H584Q618 -208 638 -197T663 -178T673 -155V710H270V277L271 -155Q283 -206 359 -210H373V-250H55V-210H69Q103 -208 123 -197T148 -178T158 -155V656Z"></path></g><g data-mml-node="TeXAtom" transform="translate(90.2,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(0,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1327.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1716.9,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2539.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(3539.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3884.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.908ex" height="1.805ex" role="img" focusable="false" viewBox="0 -716 2611.6 798"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(500,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g><g data-mml-node="mo" transform="translate(1055.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2111.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="starterdiv2.-常用排列总结">StarterDiv2. 常用排列总结</h4>
+<p><strong>1. 排列数</strong>：数学中用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="3.289ex" height="2.196ex" role="img" focusable="false" viewBox="0 -716 1453.8 970.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(783,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>表示（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="13.64ex" height="2.084ex" role="img" focusable="false" viewBox="0 -716 6029 921"><g stroke="currentColor" 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239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1201,0)"><path data-c="1D45F" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1652,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 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379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(5668,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>，老教材记作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="3.417ex" height="2.122ex" role="img" focusable="false" viewBox="0 -683 1510.3 937.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D443" d="M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554Z"></path></g><g data-mml-node="TeXAtom" transform="translate(839.5,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(675,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="12.977ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 5736 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g 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394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(3945,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 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stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个数中选择<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个进行排列，公式为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.238ex;" xmlns="http://www.w3.org/2000/svg" width="46.176ex" height="3.275ex" role="img" focusable="false" viewBox="0 -900.3 20410 1447.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 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+<p><del>为啥呢？</del>，有弔图为证↓</p>
+<p><img src="https://pic.imgdb.cn/item/658ecc3cc458853aefd6b413.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/658ecc3cc458853aefd6b413.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><strong>2. 组合数</strong>：假设有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个物品，从中任选出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个排成一组，叫做组合；所有可能的选法总数叫做组合数。用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="3.43ex" height="2.171ex" role="img" focusable="false" viewBox="0 -705 1516.1 959.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>表示，计算公式为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.238ex;" xmlns="http://www.w3.org/2000/svg" width="20.929ex" height="3.56ex" role="img" focusable="false" viewBox="0 -1026.4 9250.6 1573.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1793.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(2849.6,0)"><g data-mml-node="msubsup" transform="translate(220,520.2) scale(0.707)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(783,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msubsup" transform="translate(220,-346.3) scale(0.707)"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="TeXAtom" transform="translate(783,289) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(783,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g><rect width="1228" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(4595.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(5651.2,0)"><g data-mml-node="mrow" transform="translate(1489.3,394) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g><g data-mml-node="mrow" transform="translate(220,-370.3) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(878,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g><g data-mml-node="mo" transform="translate(1156,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1545,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2145,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2923,0)"><path data-c="1D45A" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3801,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(4190,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g><rect width="3359.4" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>。简记为：<strong>乌鸦坐飞机</strong></p>
+<p>弔图×2↓</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/peb0mouz.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/peb0mouz.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><del>GZ表示就凭这几张图他能速通整个组合数的内容</del></p>
+<h4 id="starterdiv3.-二项式定理">StarterDiv3. 二项式定理</h4>
+<p>学过初中的大家都知道：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="24.377ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 10774.5 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1183.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2183.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="msup" transform="translate(2673.4,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mn" transform="translate(422,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(3776.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(4832.6,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(6063.3,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(7063.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(7563.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(8135.6,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(8847.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msup" transform="translate(9848,0)"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(523,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>，这是完全平方和公式。高中的一些牛逼娃还知道完全立方和公式，也就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="56.67ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 25048.1 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1183.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(2183.4,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 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288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 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+<p>二项式定理定义式如下：</p>
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+<p>这里出现的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.149ex;" xmlns="http://www.w3.org/2000/svg" width="14.706ex" height="5.43ex" role="img" focusable="false" viewBox="0 -1450 6500 2400"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="28" d="M701 -940Q701 -943 695 -949H664Q662 -947 636 -922T591 -879T537 -818T475 -737T412 -636T350 -511T295 -362T250 -186T221 17T209 251Q209 962 573 1361Q596 1386 616 1405T649 1437T664 1450H695Q701 1444 701 1441Q701 1436 681 1415T629 1356T557 1261T476 1118T400 927T340 675T308 359Q306 321 306 250Q306 -139 400 -430T690 -924Q701 -936 701 -940Z"></path></g><g data-mml-node="mtable" transform="translate(736,0)"><g data-mml-node="mtr" transform="translate(0,700)"><g data-mml-node="mtd"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(39.5,0)"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(1336,0) translate(0 -0.5)"><path data-c="29" d="M34 1438Q34 1446 37 1448T50 1450H56H71Q73 1448 99 1423T144 1380T198 1319T260 1238T323 1137T385 1013T440 864T485 688T514 485T526 251Q526 134 519 53Q472 -519 162 -860Q139 -885 119 -904T86 -936T71 -949H56Q43 -949 39 -947T34 -937Q88 -883 140 -813Q428 -430 428 251Q428 453 402 628T338 922T245 1146T145 1309T46 1425Q44 1427 42 1429T39 1433T36 1436L34 1438Z"></path></g></g><g data-mml-node="mo" transform="translate(2349.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(3405.6,0)"><g data-mml-node="mrow" transform="translate(1236.8,394) scale(0.707)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g><g data-mml-node="mrow" transform="translate(220,-370.3) scale(0.707)"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g><g data-mml-node="mo" transform="translate(799,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1188,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1788,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(2566,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(3087,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3476,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g><rect width="2854.5" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></span>。是不是突然发现它和组合数公式的共同之处喽？<del>但是这一章并不会用它，只是作补充知识的说……</del></p>
+<p>有这三条就够了，接下来进入组合计数的内容。</p>
+<h4 id="div1.-高考娃狂喜组合数计算">Div1. 高考娃狂喜——组合数计算</h4>
+<p><strong>一个小栗子：</strong></p>
+<p>宇宙榜一大学阿福大学的榜一博士后导师黑虎阿福给你出了一道难题：</p>
+<blockquote>
+<p>给你两个正整数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="5.185ex" height="1.882ex" role="img" focusable="false" viewBox="0 -694 2291.6 832"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(806.8,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(1862.6,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>），让你求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.73ex;" xmlns="http://www.w3.org/2000/svg" width="2.872ex" height="2.325ex" role="img" focusable="false" viewBox="0 -705 1269.3 1027.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-314.8) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></g></g></svg></mjx-container></span>的值。</p>
+</blockquote>
+<p><strong>你</strong>：<em>“这还不简单？”</em></p>
+<p><strong>阿福</strong>： <em>“好的，我这里将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>设为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="9.05ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 4000 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z" transform="translate(1000,0)"></path><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z" transform="translate(1500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(2000,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(2500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(3000,0)"></path><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z" transform="translate(3500,0)"></path></g></g></g></svg></mjx-container></span>，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>设为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="7.919ex" height="1.579ex" role="img" focusable="false" viewBox="0 -676 3500 698"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(500,0)"></path><path data-c="37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z" transform="translate(1000,0)"></path><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(1500,0)"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(2000,0)"></path><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z" transform="translate(2500,0)"></path><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z" transform="translate(3000,0)"></path></g></g></g></svg></mjx-container></span>，请你求解。”</em></p>
+<p><strong>你</strong>： <em>“WTF？”</em></p>
+<p>于是你决定用程序来代替人脑，阿福教授也做出了一定让步，让你求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.73ex;" xmlns="http://www.w3.org/2000/svg" width="9.54ex" height="2.325ex" role="img" focusable="false" viewBox="0 -705 4216.9 1027.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-314.8) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1547.1,0)"><path data-c="6D" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(833,0)"></path><path data-c="64" d="M376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342Z" transform="translate(1333,0)"></path></g><g data-mml-node="mi" transform="translate(3713.9,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>的值。但是不幸的是，人类的计算机科学水平自从2024之后就被来自几光年外的八体星人文明发出的“侄子一号（NEPHEW
+1）”探测僚机锁定了，因此你需要设计一个高效的计算方式，<del>而不是妄想着用2077年的赛博机器运行暴力计算</del>，来解决这个问题。</p>
+<p>一旦你的运行时间超过一秒，阿福教授就会使用战技“乌鸦坐飞机”对你造成大量阶乘伤害。已经学习了阶乘的你想必已了解了它的威力，所以还是老老实实推导公式吧！</p>
+<p><strong>递推版：</strong></p>
+<p>组合数递推公式：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.804ex;" xmlns="http://www.w3.org/2000/svg" width="17.947ex" height="2.845ex" role="img" focusable="false" viewBox="0 -902.3 7932.6 1257.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1476.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msubsup" transform="translate(2532.2,0)"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-295.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(4830.1,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msubsup" transform="translate(5830.3,0)"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,411.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(429,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1207,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<p>分析思路类似于动态规划问题：我们要从<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>个物品中挑选<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>个出来，求组合数。</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/muvk0xi1.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/muvk0xi1.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>上图中，若包含这个红色物体，那么我们只需再从剩下的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.094ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2251.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1751.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>个物体里挑选，因为红色物体自身占据了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>个位置中的其中一个，因此留给其他物体的总名额就只有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="4.868ex" height="1.756ex" role="img" focusable="false" viewBox="0 -694 2151.4 776"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(651.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1651.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>个，因此该情况下组合数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.804ex;" xmlns="http://www.w3.org/2000/svg" width="4.756ex" height="2.845ex" role="img" focusable="false" viewBox="0 -902.3 2102.3 1257.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,411.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(429,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1207,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>；同样地，若不包含红色物体，从剩下的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.094ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2251.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(751.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1751.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>个物体中选出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>个，因为在该情况下红色的物体不计入组合，因此剩余名额还是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>个，组合数就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.8ex;" xmlns="http://www.w3.org/2000/svg" width="4.696ex" height="2.732ex" role="img" focusable="false" viewBox="0 -853.7 2075.7 1207.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-295.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。最后，因为从<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>个物体里选，只有包含红色和不包含红色两种情况（就好像你的双亲，不是你的母亲就是你的父亲），因此可以做到不重不漏。所以总组合数就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.804ex;" xmlns="http://www.w3.org/2000/svg" width="12.218ex" height="2.845ex" role="img" focusable="false" viewBox="0 -902.3 5400.5 1257.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,411.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(429,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1207,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mo" transform="translate(2324.5,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msubsup" transform="translate(3324.7,0)"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-295.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1307,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">2010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> c<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">Csieve</span><span class="token punctuation">(</span><span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> N<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> i<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>j<span class="token punctuation">)</span> c<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+			<span class="token keyword">else</span> c<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token punctuation">(</span>c<span class="token punctuation">[</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span>j <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">+</span> c<span class="token punctuation">[</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		<span class="token punctuation">}</span> 
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> a<span class="token punctuation">,</span> b<span class="token punctuation">,</span> p<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>a<span class="token operator">&gt;&gt;</span>b<span class="token operator">&gt;&gt;</span>p<span class="token punctuation">;</span>
+	<span class="token function">Csieve</span><span class="token punctuation">(</span>p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cout<span class="token operator">&lt;&lt;</span>c<span class="token punctuation">[</span>a<span class="token punctuation">]</span><span class="token punctuation">[</span>b<span class="token punctuation">]</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.681ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2952.8 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mn" transform="translate(975.3,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2563.8,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="9.441ex" height="2.394ex" role="img" focusable="false" viewBox="0 -864 4172.8 1058"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1680.4,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="msup" transform="translate(2736.2,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mn" transform="translate(1033,393.1) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></svg></mjx-container></span>的大部分情况。</p>
+<p><strong>预处理版：</strong></p>
+<p>但是众所周知，递归有两大痛点：对于主观思维来说，是边界问题；对于客观条件来说，是内存。递归过程中CPU里储存了大量的未运行或者待返回的函数实例，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.023ex;" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="1.02ex" role="img" focusable="false" viewBox="0 -441 529 451"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.971ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 429 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>的值增大时，尽管它能在时间方面表现出色，但是内存就不那么理想了，反而会显得臃肿至极。当题目中给出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="9.441ex" height="2.394ex" role="img" focusable="false" viewBox="0 -864 4172.8 1058"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1680.4,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="msup" transform="translate(2736.2,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mn" transform="translate(1033,393.1) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></svg></mjx-container></span>时，建议用这种方法。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">100010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> fact<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> infact<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">qpow</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>b <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> a <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		b <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">inv</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">return</span> <span class="token function">qpow</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> p <span class="token operator">-</span> <span class="token number">2</span><span class="token punctuation">,</span> p<span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">C</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">return</span> <span class="token punctuation">(</span><span class="token punctuation">(</span>fact<span class="token punctuation">[</span>a<span class="token punctuation">]</span> <span class="token operator">%</span> p<span class="token punctuation">)</span> <span class="token operator">*</span> <span class="token punctuation">(</span>infact<span class="token punctuation">[</span>b<span class="token punctuation">]</span> <span class="token operator">%</span> p<span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token operator">%</span> p <span class="token operator">*</span> infact<span class="token punctuation">[</span>a <span class="token operator">-</span> b<span class="token punctuation">]</span> <span class="token operator">%</span> p<span class="token punctuation">;</span>	
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> a<span class="token punctuation">,</span> b<span class="token punctuation">,</span> p<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>a<span class="token operator">&gt;&gt;</span>b<span class="token operator">&gt;&gt;</span>p<span class="token punctuation">;</span>
+	fact<span class="token punctuation">[</span><span class="token number">0</span><span class="token punctuation">]</span> <span class="token operator">=</span> infact<span class="token punctuation">[</span><span class="token number">0</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> N<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		fact<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> fact<span class="token punctuation">[</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">*</span> i <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		infact<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> infact<span class="token punctuation">[</span>i <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">*</span> <span class="token function">inv</span><span class="token punctuation">(</span>i<span class="token punctuation">,</span> p<span class="token punctuation">)</span> <span class="token operator">%</span> p<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	cout<span class="token operator">&lt;&lt;</span><span class="token function">C</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> b<span class="token punctuation">,</span> p<span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.225ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4961.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mi" transform="translate(2239.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3517.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3684.3,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(4572.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="9.441ex" height="2.394ex" role="img" focusable="false" viewBox="0 -864 4172.8 1058"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(1680.4,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="msup" transform="translate(2736.2,0)"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mn" transform="translate(1033,393.1) scale(0.707)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></g></svg></mjx-container></span>且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.173ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 1402.7 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>均在<code>int</code>范围内的大部分情况。</p>
+<p><strong>Lucas定理优化版：</strong></p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="6.072ex" height="1.57ex" role="img" focusable="false" viewBox="0 -683 2684 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43F" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g><g data-mml-node="mi" transform="translate(681,0)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1253,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(1686,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(2215,0)"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g></g></g></svg></mjx-container></span>定理如下：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.028ex;" xmlns="http://www.w3.org/2000/svg" width="28.859ex" height="3.248ex" role="img" focusable="false" viewBox="0 -981.5 12755.5 1435.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" 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182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 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423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,490.8) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g data-mml-node="mo" transform="translate(429,0)"><path data-c="F7" 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284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(12366.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>为质数）。<a target="_blank" rel="noopener" href="https://zhuanlan.zhihu.com/p/452976974?utm_id=0">证明在此</a>（建议直接背结论）。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> p<span class="token punctuation">;</span>
+
+<span class="token keyword">int</span> <span class="token function">qpow</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>b <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		a <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> a <span class="token operator">*</span> a <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		b <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">inv</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">return</span> <span class="token function">qpow</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> p <span class="token operator">-</span> <span class="token number">2</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">C</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">,</span> j <span class="token operator">=</span> a<span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> b<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">,</span> j<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> j <span class="token operator">%</span> p<span class="token punctuation">;</span>
+		res <span class="token operator">=</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> res <span class="token operator">*</span> <span class="token function">inv</span><span class="token punctuation">(</span>i<span class="token punctuation">)</span> <span class="token operator">%</span> p<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+ll <span class="token function">lucas</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>a <span class="token operator">&lt;</span> p <span class="token operator">&amp;&amp;</span> b <span class="token operator">&lt;</span> p<span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token function">C</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> b<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token punctuation">(</span>ll<span class="token punctuation">)</span> <span class="token function">C</span><span class="token punctuation">(</span>a <span class="token operator">%</span> p<span class="token punctuation">,</span> b <span class="token operator">%</span> p<span class="token punctuation">)</span> <span class="token operator">*</span> <span class="token function">lucas</span><span class="token punctuation">(</span>a <span class="token operator">/</span> p<span class="token punctuation">,</span> b <span class="token operator">/</span> p<span class="token punctuation">)</span> <span class="token operator">%</span> p<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	ios<span class="token double-colon punctuation">::</span><span class="token function">sync_with_stdio</span><span class="token punctuation">(</span><span class="token boolean">false</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cin<span class="token punctuation">.</span><span class="token function">tie</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	cout<span class="token punctuation">.</span><span class="token function">tie</span><span class="token punctuation">(</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	
+	<span class="token keyword">int</span> t<span class="token punctuation">;</span>
+	<span class="token keyword">int</span> n<span class="token punctuation">,</span> m<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>t<span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>t<span class="token operator">--</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		cin<span class="token operator">&gt;&gt;</span>n<span class="token operator">&gt;&gt;</span>m<span class="token operator">&gt;&gt;</span>p<span class="token punctuation">;</span>
+		cout<span class="token operator">&lt;&lt;</span><span class="token function">lucas</span><span class="token punctuation">(</span>n <span class="token operator">+</span> m<span class="token punctuation">,</span> n<span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.57ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2462 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="mo" transform="translate(2073,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>其本质是套用<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="6.072ex" height="1.57ex" role="img" focusable="false" viewBox="0 -683 2684 694"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D43F" d="M228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637Z"></path></g><g data-mml-node="mi" transform="translate(681,0)"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1253,0)"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(1686,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(2215,0)"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g></g></g></svg></mjx-container></span>定理计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.575ex;" xmlns="http://www.w3.org/2000/svg" width="2.712ex" height="2.506ex" role="img" focusable="false" viewBox="0 -853.7 1198.6 1107.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g></g></g></svg></mjx-container></span>，因为是模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>意义下的除法，因而我们使用逆元来操作除法。</p>
+<p>适用范围，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.173ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 1402.7 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>在<code>long long</code>范围内的大部分情况。</p>
+<p><strong>高精度版（选修）：</strong></p>
+<p>什么？你厌倦了组合数后面挂着的模<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>？不妨试试高精度版的组合数计算吧！它适用于作业上的题目求解！（<del>虽然前面几种也可以，毕竟手算的题数据很小取不取模都一样</del>）是不是心动了呢？</p>
+<p>常规思路来说，我们的组合数公式经过一轮分式化简可以得到：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.238ex;" xmlns="http://www.w3.org/2000/svg" width="28.761ex" height="3.607ex" role="img" focusable="false" viewBox="0 -1047.1 12712.6 1594.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g 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138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1476.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(2532.2,0)"><g data-mml-node="mrow" transform="translate(220,516.8) scale(0.707)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mo" transform="translate(1307,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 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663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3503,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(3892,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mo" transform="translate(4670,0)"><path 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270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(6366,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mo" transform="translate(6866,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(7255,0)"><path 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+<p>我们看到了<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/blog/justpureh2o/oint-pt1-prescholar-knowledge">Part1</a>里面讲的算术基本定理，将组合数转化为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.735ex;" xmlns="http://www.w3.org/2000/svg" width="13.909ex" height="2.507ex" role="img" focusable="false" viewBox="0 -783.2 6148 1108.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 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28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="TeXAtom" transform="translate(536,465.2) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D450" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path></g><g data-mml-node="mi" transform="translate(466,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 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647Z"></path></g></g></g></g></g></svg></mjx-container></span>的质数乘积分解式，最后我们只需要解决质数头顶的指数即可。我们使用以下这个公式：</p>
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87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(15449,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(16049,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(16493.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(17093.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(17538.3,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(18337.1,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(19281.9,0)"><g data-mml-node="mi"><path data-c="2124" d="M39 -1Q29 9 29 12Q29 23 60 77T219 337L410 648H364Q261 648 210 628Q168 612 142 588T109 545T97 509T88 490Q85 489 80 489Q72 489 61 503L70 588Q72 607 75 628T79 662T81 675Q84 677 88 681Q90 683 341 683H592Q604 673 604 666Q604 662 412 348L221 37Q221 35 301 35Q406 35 446 48Q504 68 543 111T597 212Q602 239 617 239Q624 239 629 234T635 223Q635 215 621 113T604 8L597 1Q595 -1 317 -1H39ZM148 637L166 648H112V632Q111 629 110 622T108 612Q108 608 110 608T116 612T129 623T148 637ZM552 646Q552 648 504 648Q452 648 450 643Q448 639 266 343T77 37Q77 35 128 35H179L366 339L552 646ZM572 35Q581 89 581 97L561 77Q542 59 526 48L508 37L539 35H572Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>用它可以计算出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.645ex" role="img" focusable="false" viewBox="0 -716 878 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="21" d="M78 661Q78 682 96 699T138 716T180 700T199 661Q199 654 179 432T158 206Q156 198 139 198Q121 198 119 206Q118 209 98 431T78 661ZM79 61Q79 89 97 105T141 121Q164 119 181 104T198 61Q198 31 181 16T139 1Q114 1 97 16T79 61Z"></path></g></g></g></svg></mjx-container></span>中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.878ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 830 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的个数。</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">10010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">typedef</span> <span class="token keyword">long</span> <span class="token keyword">long</span> ll<span class="token punctuation">;</span>
+
+vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> num<span class="token punctuation">;</span>
+ll primes<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> sum<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">bool</span> st<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> cnt <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+
+<span class="token keyword">void</span> <span class="token function">prime_sieve</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">2</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span><span class="token operator">!</span>st<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> primes<span class="token punctuation">[</span><span class="token operator">++</span>cnt<span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">*</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			st<span class="token punctuation">[</span>i <span class="token operator">*</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token boolean">true</span><span class="token punctuation">;</span>
+			<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> primes<span class="token punctuation">[</span>j<span class="token punctuation">]</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> <span class="token keyword">break</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">get</span><span class="token punctuation">(</span><span class="token keyword">int</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> p<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>a<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		res <span class="token operator">+=</span> a <span class="token operator">/</span> p<span class="token punctuation">;</span>
+		a <span class="token operator">/=</span> p<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> <span class="token function">mul</span><span class="token punctuation">(</span>vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> a<span class="token punctuation">,</span> <span class="token keyword">int</span> b<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> res<span class="token punctuation">;</span>
+	<span class="token keyword">int</span> t <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> a<span class="token punctuation">.</span><span class="token function">size</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		t <span class="token operator">+=</span> a<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">*</span> b<span class="token punctuation">;</span>
+		res<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span>t <span class="token operator">%</span> <span class="token number">10</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		t <span class="token operator">/=</span> <span class="token number">10</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>t<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		res<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span>t <span class="token operator">%</span> <span class="token number">10</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		t <span class="token operator">/=</span> <span class="token number">10</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> a<span class="token punctuation">,</span> b<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>a<span class="token operator">&gt;&gt;</span>b<span class="token punctuation">;</span>
+	<span class="token function">prime_sieve</span><span class="token punctuation">(</span>a<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> cnt<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> sum<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token function">get</span><span class="token punctuation">(</span>a<span class="token punctuation">,</span> primes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">-</span> <span class="token function">get</span><span class="token punctuation">(</span>b<span class="token punctuation">,</span> primes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token operator">-</span> <span class="token function">get</span><span class="token punctuation">(</span>a <span class="token operator">-</span> b<span class="token punctuation">,</span> primes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	vector<span class="token operator">&lt;</span><span class="token keyword">int</span><span class="token operator">&gt;</span> res<span class="token punctuation">;</span>
+	res<span class="token punctuation">.</span><span class="token function">push_back</span><span class="token punctuation">(</span><span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> cnt<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> j <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> j <span class="token operator">&lt;=</span> sum<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> j<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+			res <span class="token operator">=</span> <span class="token function">mul</span><span class="token punctuation">(</span>res<span class="token punctuation">,</span> primes<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+		<span class="token punctuation">}</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> res<span class="token punctuation">.</span><span class="token function">size</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token operator">-</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&gt;=</span> <span class="token number">0</span><span class="token punctuation">;</span> i<span class="token operator">--</span><span class="token punctuation">)</span> cout<span class="token operator">&lt;&lt;</span>res<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	cout<span class="token operator">&lt;&lt;</span>endl<span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.509ex" height="2.758ex" role="img" focusable="false" viewBox="0 -969 4203 1219"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g><g data-mml-node="msqrt" transform="translate(2073,0)"><g transform="translate(853,0)"><g data-mml-node="mi"><path data-c="1D441" d="M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z"></path></g></g><g data-mml-node="mo" transform="translate(0,109)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="888" height="60" x="853" y="849"></rect></g><g data-mml-node="mo" transform="translate(3814,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>适用范围，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="3.173ex" height="2.009ex" role="img" focusable="false" viewBox="0 -694 1402.7 888"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(529,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(973.7,0)"><path data-c="1D44F" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></g></g></svg></mjx-container></span>在<code>int</code>范围内。</p>
+<p>有了这段代码，我们就可以完成开头阿福教授的原问题了（不模不限数据）！</p>
+<h4 id="div2.-世界上最oi的idecatalan数">Div2.
+世界上最OI的IDE——Catalan数</h4>
+<p>当你翻开Catalan数的介绍文章，并大学特学了一番，感觉自己完全掌握了这神奇的数列，正当你兴致勃勃地打开题库搜索到一道Catalan数的题目正准备大展身手时，你会发现，面对这神奇的题干，不同于往常秒模板题的你，你甚至完全看不出来它和Catalan数有任何的关系，而且很有可能，你其实连Catalan数究竟是什么东西都不知道！</p>
+<p><del>苏子愀然，正襟危坐而问客曰：“何为其然也？”</del>
+其实还真不能让那些博客背上黑锅，这种现象与Catalan数本身的应用有很大的关系。</p>
+<p>Catalan数，或者习惯叫卡特兰数、明安图数，是组合数学中常用的特殊数列。数列如下：“<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="37.599ex" height="1.971ex" role="img" focusable="false" viewBox="0 -677 16618.7 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(500,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 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121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(13002,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path><path data-c="38" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 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186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z" transform="translate(1500,0)"></path></g><g data-mml-node="mo" transform="translate(15002,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mo" transform="translate(15446.7,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g></g></g></svg></mjx-container></span>”，它是一个无穷数列，数与数之间看起来似乎也没什么太大联系……其实它和斐波那契数列有类似之处，它们不具有特定的数学意义（只是斐波那契的递推方法简单得多罢了），只是一个十分普遍的数学规律。所以学习时应该挂靠于例子本身而不是一味依赖于定义所写，那我们就开始吧：</p>
+<p>用最经典的例子写出来就是：</p>
+<blockquote>
+<p>给你一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.157ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2279.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(794.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1794.4,0)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></svg></mjx-container></span>的网格，你将从原点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>开始移动。对于每次移动，你只能向上/向右一格（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>坐标/<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>坐标加一），但是需要保证你总向右走的次数不少于向上走的次数，问从原点到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.178ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3172.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1139,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1739,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2183.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2783.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>有多少种不同的合法路径？</p>
+</blockquote>
+<p>假设你某时刻走到了点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.022ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3103.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g><g data-mml-node="mo" transform="translate(1051,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1440,0)"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g data-mml-node="mo" transform="translate(1909,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2353.7,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g data-mml-node="mo" transform="translate(2714.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，根据题目要求，意味着需要保证<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="4.895ex" height="1.751ex" role="img" focusable="false" viewBox="0 -636 2163.6 774"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D460" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g data-mml-node="mo" transform="translate(746.8,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(1802.6,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>。我们拟合一条经过点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.378ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 1051 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D440" d="M289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629Z"></path></g></g></g></svg></mjx-container></span>的正比例函数，不难看出它的斜率<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.312ex;" xmlns="http://www.w3.org/2000/svg" width="5.327ex" height="1.882ex" role="img" focusable="false" viewBox="0 -694 2354.6 832"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(798.8,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mn" transform="translate(1854.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。对于这个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="5.157ex" height="1.136ex" role="img" focusable="false" viewBox="0 -491 2279.4 502"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D462" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(794.2,0)"><path data-c="D7" d="M630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29Z"></path></g><g data-mml-node="mi" transform="translate(1794.4,0)"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></svg></mjx-container></span>的网格，所有的点都在整数刻度上。我们接着画出直线<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.317ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 4118 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的图像，然后尽可能画几条不合法的路径出来比对一下，你会发现：<strong>不合法的路径与直线<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.317ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 4118 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>至少有一个交点，合法路径一定与<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.317ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 4118 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>没有交点</strong>。用一张图来直观体会一下：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/1czxz8td.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/1czxz8td.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>终点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.725ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2972.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1139,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(1639,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(2083.7,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(2583.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，其中红线为不合法路径，蓝线为合法路径。不难发现，不合法的路径与绿线（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.317ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 4118 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>）都有至少一个交点，因为它们在某次移动后的端点与原点拟合而成的正比例函数的斜率<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="5.327ex" height="1.661ex" role="img" focusable="false" viewBox="0 -694 2354.6 734"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(798.8,0)"><path data-c="3E" d="M84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520Z"></path></g><g data-mml-node="mn" transform="translate(1854.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，因此不是合法路径。</p>
+<p>那么如何来计算合法和不合法路径的条数呢？直接求出合法路径不好求，规律不好找，因此我们计算出总路径数量，减去不合法数量即是合法路径数量。</p>
+<p>可以看到，无论选择什么样的路径，在不左移、不下移的前提下，到达<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.178ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3172.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1139,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1739,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(2183.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2783.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，你都只能移动<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1100 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次（小学内容，把横线和竖线平移到一块数格子），其中右移<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次、上移<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次。转化一下，就是在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1100 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次移动中选出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次进行右移操作，总数就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.687ex;" xmlns="http://www.w3.org/2000/svg" width="3.565ex" height="2.282ex" role="img" focusable="false" viewBox="0 -705 1575.8 1008.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="mi" transform="translate(845.3,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="TeXAtom" transform="translate(748,-295.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<p>因为所有路径，包括合法的和不合法的路径都最终抵达了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.725ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2972.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1139,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(1639,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(2083.7,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(2583.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，难以将内鬼剔除出来。我们选择将不合法路径关于判定线<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="9.317ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 4118 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>对称过去，它们的新终点将是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="7.353ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 3250.1 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1027.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1416.5,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mo" transform="translate(1916.5,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(2361.1,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mo" transform="translate(2861.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，也就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.6ex" height="2.283ex" role="img" focusable="false" viewBox="0 -759 6895 1009"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mi" transform="translate(783,363) scale(0.707)"><path data-c="2032" d="M79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43Z"></path></g></g><g data-mml-node="mo" transform="translate(1027.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1416.5,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(2238.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3238.9,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3738.9,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(4183.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(5005.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(6006,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(6506,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。根据上面的推导方法，这里就是在<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1100 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>轮移动中挑出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.254ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2322.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(822.2,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1822.4,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>次右移操作，于是不合法路径的数量就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.69ex;" xmlns="http://www.w3.org/2000/svg" width="5.03ex" height="2.687ex" role="img" focusable="false" viewBox="0 -882.5 2223.2 1187.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,411.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>，合法路径数量是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.69ex;" xmlns="http://www.w3.org/2000/svg" width="15.622ex" height="2.687ex" role="img" focusable="false" viewBox="0 -882.5 6905 1187.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(827.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msubsup" transform="translate(1883.6,0)"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-295.7) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3681.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msubsup" transform="translate(4681.8,0)"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g><g data-mml-node="TeXAtom" transform="translate(845.3,411.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(748,-297.3) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>。</p>
+<p>（至于为什么用右移次数而不是上移次数，是因为上移受到限制，这意味着你可以一直右移到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.442ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2405.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1905.6,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>而无需担心条件限制；但是你就不能先一直上移到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="5.257ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 2323.6 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span>，因为这不符合题目要求）</p>
+<p><strong>扩展</strong>：如果题干中指明向右走的次数不少于向上走的次数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.577ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1139 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="mi" transform="translate(778,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>，则只需将判定线上下平移为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="12.899ex" height="1.971ex" role="img" focusable="false" viewBox="0 -666 5701.4 871"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1823.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2617.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(3618,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(4340.2,0)"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="mi" transform="translate(5340.4,0)"><path data-c="1D461" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g></g></g></svg></mjx-container></span>即可。</p>
+<p><del>那这些又和宇宙第一IDE有什么关系呢</del></p>
+<p><strong>应用场景一：括号匹配</strong></p>
+<p>将向右走转化为左括号“（”，向上走转化为右括号“）”。对于每一次输入，检查一下左括号输入次数是否永不小于右括号输入次数。若是，当输入最后一个右括号，使左右括号数量相同时，即为匹配成功；若不是，且左括号个数大于右括号个数，则表明括号等待补全；若不是，且左括号个数小于右括号个数，即立即宣布失配。</p>
+<p><strong>应用场景二：合法进出栈序列计数问题</strong></p>
+<p>假设一个初始为空的栈，有<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1100 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次操作，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次进栈，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次出栈，请问合法进出栈序列总数（空栈不出）是多少？</p>
+<p>答案就是Catalan数，自行套公式计算。</p>
+<p><strong>应用场景三：圆的不相交弦计数问题</strong></p>
+<p>假设一个圆周上分布着偶数个点，对这些点两两连线，使相连的线不相交的所有方案数。其中一个合法解如下图：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/t00q8hh5.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/t00q8hh5.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>聪明如你，答案还是Catalan数！那么如何转化为已知问题求解呢？</p>
+<p>我们将出发点标记为左括号“（”，从出发点引出去的线与其他线/点的所有交点标记为右括号“）”。当所有点两两连接完毕时，根据场景一的模型，一旦左右括号失配即代表不合法，否则合法。因此这个问题也就变成了：给定<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.532ex" role="img" focusable="false" viewBox="0 -666 1100 677"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个左括号和右括号，求出使左右括号匹配的排列个数。在这里，如果问题无解，将会是这样：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/soc999oq.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/soc999oq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<hr>
+<p><strong>例题：</strong></p>
+<ol type="1">
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P3807">P3807 [模板]
+卢卡斯定理/Lucas 定理</a></li>
+<li><a target="_blank" rel="noopener" href="https://www.luogu.com.cn/problem/P5014">P5014
+水の三角(修改版)</a> （Catalan数公式变形推导）</li>
+</ol>
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+  <div class='content'>
+      <ol class="toc"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%BC%95%E5%85%A5"><span class="toc-number">1.</span> <span class="toc-text">引入</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part1.-%E5%89%8D%E7%BD%AE%E7%9F%A5%E8%AF%86"><span class="toc-number">2.</span> <span class="toc-text">Part1.  前置知识</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E6%95%B0%E8%AE%BA%E6%9C%89%E5%85%B3%E5%AE%9A%E7%90%86"><span class="toc-number">2.1.</span> <span class="toc-text">Div1. 数论有关定理</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E5%90%8C%E4%BD%99"><span class="toc-number">2.2.</span> <span class="toc-text">Div2. 同余</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part2.-%E8%B4%A8%E6%95%B0"><span class="toc-number">3.</span> <span class="toc-text">Part2.  质数</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E8%B4%A8%E6%95%B0%E5%88%A4%E6%96%AD"><span class="toc-number">3.1.</span> <span class="toc-text">Div1.  质数判断</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E8%B4%A8%E6%95%B0%E7%AD%9B"><span class="toc-number">3.2.</span> <span class="toc-text">Div2.  质数筛</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part3.-%E5%9B%A0%E6%95%B0"><span class="toc-number">4.</span> <span class="toc-text">Part3.  因数</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E5%9B%A0%E6%95%B0%E5%88%86%E8%A7%A3%E6%B3%95"><span class="toc-number">4.1.</span> <span class="toc-text">Div1.  因数分解法</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.%E6%9C%80%E5%A4%A7%E5%85%AC%E7%BA%A6%E6%95%B0"><span class="toc-number">4.2.</span> <span class="toc-text">Div2.最大公约数</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div3.-%E6%9C%80%E5%B0%8F%E5%85%AC%E5%80%8D%E6%95%B0"><span class="toc-number">4.3.</span> <span class="toc-text">Div3. 最小公倍数</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part4.-%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0%E7%9B%B8%E5%85%B3"><span class="toc-number">5.</span> <span class="toc-text">Part4. 欧拉函数相关</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0%E6%8E%A8%E5%AF%BC"><span class="toc-number">5.1.</span> <span class="toc-text">Div1. 欧拉函数推导</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0%E4%BB%A3%E7%A0%81%E5%AE%9E%E7%8E%B0"><span class="toc-number">5.2.</span> <span class="toc-text">Div2. 欧拉函数代码实现</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div3.-%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0%E6%8E%A8%E8%AE%BA"><span class="toc-number">5.3.</span> <span class="toc-text">Div3. 欧拉函数推论</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div4.-%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0%E7%BA%BF%E6%80%A7%E7%AD%9B"><span class="toc-number">5.4.</span> <span class="toc-text">Div4. 欧拉函数线性筛</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div5.-%E6%AC%A7%E6%8B%89%E5%AE%9A%E7%90%86"><span class="toc-number">5.5.</span> <span class="toc-text">Div5. 欧拉定理</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div6.-%E9%99%8D%E5%B9%82%E7%AE%97%E6%B3%95"><span class="toc-number">5.6.</span> <span class="toc-text">Div6. 降幂算法</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part5.-%E5%90%8C%E4%BD%99%E6%96%B9%E7%A8%8B%E7%9A%84%E8%A7%A3%E6%B3%95"><span class="toc-number">6.</span> <span class="toc-text">Part5. 同余方程的解法</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div.1-%E8%A3%B4%E8%9C%80%E5%AE%9A%E7%90%86"><span class="toc-number">6.1.</span> <span class="toc-text">Div.1 裴蜀定理</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E6%89%A9%E5%B1%95%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97exgcd"><span class="toc-number">6.2.</span> <span class="toc-text">Div2. 扩展欧几里得（EXGCD）</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div3.-%E4%B8%AD%E5%9B%BD%E5%89%A9%E4%BD%99%E5%AE%9A%E7%90%86crt"><span class="toc-number">6.3.</span> <span class="toc-text">Div3. 中国剩余定理（CRT）</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div4.-baby-step-giant-step%E7%AE%97%E6%B3%95bsgs"><span class="toc-number">6.4.</span> <span class="toc-text">Div4. Baby Step Giant
+Step算法（BSGS）</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part6.-%E4%B9%98%E6%B3%95%E9%80%86%E5%85%83"><span class="toc-number">7.</span> <span class="toc-text">Part6. 乘法逆元</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part7.-%E7%9F%A9%E9%98%B5%E7%9B%B8%E5%85%B3"><span class="toc-number">8.</span> <span class="toc-text">Part7. 矩阵相关</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E5%88%9D%E7%AD%89%E8%A1%8C%E5%8F%98%E6%8D%A2"><span class="toc-number">8.1.</span> <span class="toc-text">Div1. 初等行变换</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E7%A7%A9"><span class="toc-number">8.2.</span> <span class="toc-text">Div2. 秩</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div3.-%E7%9F%A9%E9%98%B5%E5%9F%BA%E6%9C%AC%E8%BF%90%E7%AE%97"><span class="toc-number">8.3.</span> <span class="toc-text">Div3. 矩阵基本运算</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div4.-%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95"><span class="toc-number">8.4.</span> <span class="toc-text">Div4. 矩阵乘法</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div5.-%E5%85%B6%E4%BB%96%E5%B8%B8%E7%94%A8%E7%B1%BB%E5%9E%8B%E7%9A%84%E7%9F%A9%E9%98%B5"><span class="toc-number">8.5.</span> <span class="toc-text">Div5. 其他常用类型的矩阵</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div6.-%E7%9F%A9%E9%98%B5%E7%9A%84%E5%87%A0%E4%BD%95%E8%A1%A8%E7%A4%BA"><span class="toc-number">8.6.</span> <span class="toc-text">Div6. 矩阵的几何表示</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#part8.-%E7%BB%84%E5%90%88%E8%AE%A1%E6%95%B0"><span class="toc-number">9.</span> <span class="toc-text">Part8. 组合计数</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#starterdiv1.-%E9%98%B6%E4%B9%98%E6%A6%82%E8%BF%B0"><span class="toc-number">9.1.</span> <span class="toc-text">StarterDiv1. 阶乘概述</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#starterdiv2.-%E5%B8%B8%E7%94%A8%E6%8E%92%E5%88%97%E6%80%BB%E7%BB%93"><span class="toc-number">9.2.</span> <span class="toc-text">StarterDiv2. 常用排列总结</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#starterdiv3.-%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%AE%9A%E7%90%86"><span class="toc-number">9.3.</span> <span class="toc-text">StarterDiv3. 二项式定理</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div1.-%E9%AB%98%E8%80%83%E5%A8%83%E7%8B%82%E5%96%9C%E7%BB%84%E5%90%88%E6%95%B0%E8%AE%A1%E7%AE%97"><span class="toc-number">9.4.</span> <span class="toc-text">Div1. 高考娃狂喜——组合数计算</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#div2.-%E4%B8%96%E7%95%8C%E4%B8%8A%E6%9C%80oi%E7%9A%84idecatalan%E6%95%B0"><span class="toc-number">9.5.</span> <span class="toc-text">Div2.
+世界上最OI的IDE——Catalan数</span></a></li></ol></li></ol>
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+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
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+
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+
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+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
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+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
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+
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+
+      if (articles.length) {
+        articles.forEach((el) => {
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+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
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+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
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+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
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+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
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+        document.querySelector("#safearea").style["display"] = "block";
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/oier-math-senior/index.html b/oier-math-senior/index.html
new file mode 100644
index 0000000000..6ca75823bb
--- /dev/null
+++ b/oier-math-senior/index.html
@@ -0,0 +1,4438 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
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+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
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+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
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+  <meta name="keywords" content="算法,学术,数学,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="信息竞赛 高级数学">
+<meta property="og:url" content="https://justpureh2o.github.io/oier-math-senior/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="诗曰： “高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”  前置知识：复数、位运算 Part1. 快速傅里叶变换 Div1. 世界上最优雅的算法 FFT起源 FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及……在">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-14T11:02:49.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
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+<meta property="article:tag" content="算法">
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+<meta property="article:tag" content="数学">
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+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
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+  --color-read-bkg: #e0d8c8;
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+}
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+}
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+}
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+}
+*::-webkit-scrollbar-thumb {
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+}
+*::-webkit-scrollbar-thumb:hover {
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+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
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+}
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+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
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+}
+html >::-webkit-scrollbar-thumb:hover {
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+}
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+  text-rendering: optimizelegibility;
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+}
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+}
+@media screen and (max-width: 680px) {
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+}
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+}
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+ol {
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+}
+header {
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+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
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+}
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+}
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+}
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+  margin: 0;
+}
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+  -webkit-appearance: button;
+  cursor: pointer;
+}
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+}
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+}
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+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
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+}
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+  padding-bottom: 100px;
+}
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+  height: calc(36vh - 64px + 200px);
+}
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+}
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+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
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+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
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+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        信息竞赛 高级数学
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 14, 2024</p>
+  </a>
+</div>
+
+          
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+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <blockquote>
+<p>诗曰：</p>
+<p>“高数第一杀手，考试一考就寄。复数知识一用，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.768ex" height="1.912ex" role="img" focusable="false" viewBox="0 -833.9 781.6 844.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”</p>
+</blockquote>
+<p>前置知识：<strong>复数、位运算</strong></p>
+<h3 id="part1.-快速傅里叶变换">Part1. 快速傅里叶变换</h3>
+<h4 id="div1.-世界上最优雅的算法">Div1. 世界上最优雅的算法</h4>
+<p><a target="_blank" rel="noopener" href="http://tcct.amss.ac.cn/sc-journal/2022/202202/20220263.pdf">FFT起源</a></p>
+<p>FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及……在一次科学议会上，有人提出在苏联国境周边安装大量地震波传感器，将传感器的数据回收处理，分析是否出现了类似于核试验产生的震波从而判断苏联是否在进行秘密核试验。但是在当时用于频谱分析的DFT算法效率太过低下，传感器又必须在短时间内分析大量的频谱数据，因此逆境出人才——当时参与会议的其中一位科学家Tukey后来找到了程序员Cooley，后者在当时是一名操作ENIAC的程序员。二者分工明确，在1965年他们提出了FFT算法（当时叫做Cooley-Tukey算法），这个算法在后来被IEEE列入他们主编的“20世纪十大程序算法”之中。</p>
+<p>FFT在信号处理领域受到了广泛的应用，直至今日它仍然被集成在大多数波谱分析仪器中作为底层算法之一。然而在信息学竞赛中，它被广大的OIer看中，拿去优化了高精度乘法的计算。它可以将朴素的高精度乘法的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.906ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2610.6 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(633,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2221.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>复杂度大幅降低到<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.922ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4385.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1951.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3396.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3996.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，在处理大数据时，它将比Karatsuba乘法算法更为高效……</p>
+<h4 id="div2.-系数表示法与点值表示法">Div2. 系数表示法与点值表示法</h4>
+<p>我们在初中时期学过一元二次方程的函数图像。一般情况下，我们都会用形如：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="15.495ex" height="2.351ex" role="img" focusable="false" viewBox="0 -833.9 6849 1038.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1823.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="msup" transform="translate(2323.6,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(3554.3,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(4554.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(5348.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(6349,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的解析式形式来表示它。这种表示函数的方法就叫做系数表示法——自变量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>的某次幂前乘一个系数得到的，一个<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次多项式的系数表示法定义为：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="11.07ex" height="5.449ex" role="img" focusable="false" viewBox="0 -1362.5 4892.8 2408.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(767.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(1823.6,0)"><g data-mml-node="mo" transform="translate(45.8,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 462L57 717L56 728Q56 744 61 748Z"></path></g><g data-mml-node="TeXAtom" transform="translate(0,-887.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(345,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1123,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(361.7,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msub" transform="translate(3137.9,0)"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(562,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="msup" transform="translate(3993.8,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>系数表示法可以直接通过<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>值，就好比生物的基因组排列，给出一个基因组，科学家就可以复原出整个生物的全貌，如果在各种函数绘制工具中输入解析式，它都唯一对应一个图像；但点值表示法就不是这样的了。它好比生物的某个性状，并且只是一个小得不能再小的特征点。比如给你两个特征：“白色毛发”和“部分呈现黑色”，不同人会做出不同的回答——动物学家会说“熊猫”、“斑马”、“美国短毛猫”一类的事物；阿宅会说：“伊雷娜”、“仆人”等等。加入其他限定词可能会使结果统一化，但是对于数学函数来说，你需要限定它的最高次数。如果你只给出了点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.725ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2972.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g data-mml-node="mo" transform="translate(750,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1139,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1639,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(2083.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2583.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，“求出经过点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>的二次函数”这样的问题显然是不合适的，因为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次函数最少需要<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个不同的点来唯一确定。</p>
+<p>假如我们让一个三次函数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.299ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1900 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>和一个四次方程<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.133ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1827 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mo" transform="translate(477,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(866,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1438,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>相乘求卷积，得到的函数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.357ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1926 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="210E" d="M137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683Z"></path></g><g data-mml-node="mo" transform="translate(576,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(965,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1537,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>将会是一个七次函数。如果我们需要将系数转换为点值，需要取定义域上七个不相同的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值进行计算，对于每次计算，要将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值以不同次幂代入至多七个算式中求出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>值，显然时间复杂度是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.906ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2610.6 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1185,0)"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(633,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2221.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的。<del>那还不如不优化</del></p>
+<p>为了减少这里的复杂度，我们借助一点高一所学的奇偶函数的内容~（没学过/没学懂没关系，奇函数相当于关于原点对称、偶函数相当于关于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>轴对称，并且函数的取值范围也必须关于原点对称——假如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.299ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1900 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>能求出对应值，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.059ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2678 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(939,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(1717,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(2289,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>也必须能求出对应值）。</p>
+<p>假如该函数是一个偶次的幂函数，幂函数的定义是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.52ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7302 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2177.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(3233.6,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(4312.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(4757.5,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(5635.3,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(6580,0)"><g data-mml-node="mi"><path data-c="211D" d="M17 665Q17 672 28 683H221Q415 681 439 677Q461 673 481 667T516 654T544 639T566 623T584 607T597 592T607 578T614 565T618 554L621 548Q626 530 626 497Q626 447 613 419Q578 348 473 326L455 321Q462 310 473 292T517 226T578 141T637 72T686 35Q705 30 705 16Q705 7 693 -1H510Q503 6 404 159L306 310H268V183Q270 67 271 59Q274 42 291 38Q295 37 319 35Q344 35 353 28Q362 17 353 3L346 -1H28Q16 5 16 16Q16 35 55 35Q96 38 101 52Q106 60 106 341T101 632Q95 645 55 648Q17 648 17 665ZM241 35Q238 42 237 45T235 78T233 163T233 337V621L237 635L244 648H133Q136 641 137 638T139 603T141 517T141 341Q141 131 140 89T134 37Q133 36 133 35H241ZM457 496Q457 540 449 570T425 615T400 634T377 643Q374 643 339 648Q300 648 281 635Q271 628 270 610T268 481V346H284Q327 346 375 352Q421 364 439 392T457 496ZM492 537T492 496T488 427T478 389T469 371T464 361Q464 360 465 360Q469 360 497 370Q593 400 593 495Q593 592 477 630L457 637L461 626Q474 611 488 561Q492 537 492 496ZM464 243Q411 317 410 317Q404 317 401 315Q384 315 370 312H346L526 35H619L606 50Q553 109 464 243Z"></path></g></g></g></g></svg></mjx-container></span>。如果此处<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>为偶数，整个函数就是一个偶函数、反之为奇函数。对于偶函数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.109ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1816 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(466,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(855,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1427,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="12.994ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5743.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(466,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(855,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1427,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2093.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3149.6,0)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g data-mml-node="mo" transform="translate(3615.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(4004.6,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(4782.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(5354.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、奇函数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="16.977ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 7504 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mo" transform="translate(485,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(874,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1446,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2057.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(3057.4,0)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g><g data-mml-node="mo" transform="translate(3542.4,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mo" transform="translate(3931.4,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(4709.4,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(5281.4,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(5948.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(7004,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>。那么我们可以把原函数分解成多个偶函数和奇函数的和，例如：</p>
+<p>函数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="37.078ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 16388.5 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 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347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>。根据奇偶函数的性质：奇函数+奇函数=奇函数、偶函数+偶函数=偶函数。因此左边括号整体组成的函数是奇函数、右边括号整体组成的函数是偶函数，常数单独拆出来：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/kvgbtbce.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/kvgbtbce.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>这张图可以直观看出原函数（绿线）被拆分成偶项（红线）、奇项（蓝线）和常数项（橙线）后的样子。</p>
+<p>对于奇项，代任意<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>，求出一个值后，第二个值直接取相反数；偶项则是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>相反，结果相同。当然只拆一次是不够的，里面还有很多项呢，我们试着把原函数拆分成只有一项，以递归计算。我们对奇项和偶项继续进行拆分</p>
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425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(18332.7,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 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306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>。但是此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.084ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2689.1 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(902.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1291.5,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2300.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="6.114ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2702.5 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(915.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1304.9,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2313.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的取值变成了平方，相对应地，继续拆分一次，括号里的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.912ex" role="img" focusable="false" viewBox="0 -833.9 1008.6 844.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>会变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.929ex" role="img" focusable="false" viewBox="0 -841.7 1008.6 852.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g></g></g></svg></mjx-container></span>。因此取相反数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值不管用了（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="18.341ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 8106.7 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 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442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="msup" transform="translate(4081.1,0)"><g data-mml-node="mo"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mn" transform="translate(422,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(5184.4,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(6240.2,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(7034.4,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="mi" transform="translate(7534.7,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>），我们急切地想要找到就算平方后也是相反数的一对数据来求值。此时高阶思维娃找到了一个东西——复数域。</p>
+<h4 id="div3.-单位根">Div3. 单位根</h4>
+<p>首先花一些篇幅来介绍复数的概念。我们学过：形如<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="10.327ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4564.6 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1230.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(2231,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(3008.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4064.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>这样的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.09ex;" xmlns="http://www.w3.org/2000/svg" width="6.033ex" height="1.71ex" role="img" focusable="false" viewBox="0 -716 2666.6 756"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="394" d="M51 0Q46 4 46 7Q46 9 215 357T388 709Q391 716 416 716Q439 716 444 709Q447 705 616 357T786 7Q786 4 781 0H51ZM507 344L384 596L137 92L383 91H630Q630 93 507 344Z"></path></g><g data-mml-node="mo" transform="translate(1110.8,0)"><path data-c="3C" d="M694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19Z"></path></g><g data-mml-node="mn" transform="translate(2166.6,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></g></svg></mjx-container></span>的一元二次方程是无解的。这并不完全正确——严格来说是在实数范围内无解，这个问题自从几千年前、方程发明之初就引来了无数数学家的疑问与探索，人们找来找去就是为了能找到一个阿拉伯数字，让它的平方等于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="2.891ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 1278 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。很可惜，找不到，因为传统意义上的阿拉伯数字体系建立在实数基础上，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.318ex;" xmlns="http://www.w3.org/2000/svg" width="4.821ex" height="2.398ex" role="img" focusable="false" viewBox="0 -919.5 2131 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(0,59.5)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="1278" height="60" x="853" y="799.5"></rect></g></g></g></svg></mjx-container></span>又不在实数范围内，自然所有的尝试都会以失败告终。直到有一天，笛卡尔提出了虚数的概念，认为它是“不存在的数”、紧接着高斯使用虚数符号<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>来表示<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.318ex;" xmlns="http://www.w3.org/2000/svg" width="4.821ex" height="2.398ex" role="img" focusable="false" viewBox="0 -919.5 2131 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msqrt"><g transform="translate(853,0)"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(0,59.5)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="1278" height="60" x="853" y="799.5"></rect></g></g></g></svg></mjx-container></span>的值，后面他又提出了“复平面”来将复数表示成平面上的一个向量。虚数这才有了立足之地。</p>
+<p>而复数就像是实数和虚数的一次友好会面，复数域用字母<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.043ex;" xmlns="http://www.w3.org/2000/svg" width="1.633ex" height="1.631ex" role="img" focusable="false" viewBox="0 -702 722 721"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2102" d="M684 131Q684 125 672 109T633 71T573 29T489 -5T386 -19Q330 -19 276 -3T174 46T91 134T44 261Q39 283 39 341T44 421Q66 538 143 611T341 699Q344 699 364 700T395 701Q449 698 503 677T585 655Q603 655 611 662T620 678T625 694T639 702Q650 702 657 690V481L653 474Q640 467 628 472Q624 476 618 496T595 541Q562 587 507 625T390 663H381Q337 663 299 625Q212 547 212 336Q212 249 233 179Q274 30 405 30Q533 30 641 130Q658 147 666 147Q671 147 677 143T684 131ZM250 625Q264 643 261 643Q238 635 214 620T161 579T110 510T79 414Q74 384 74 341T79 268Q89 213 113 169T164 101T217 61T260 39L277 34Q270 41 264 48Q199 111 181 254Q178 281 178 344T181 434Q200 559 250 625ZM621 565V625Q617 623 613 623Q603 619 590 619H575L588 605Q608 583 610 579L621 565Z"></path></g></g></g></g></svg></mjx-container></span>表示，一个复数由实部和虚部组成。例如复数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.809ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2567.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g><g data-mml-node="mi" transform="translate(2222.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，它的实部是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.554ex" role="img" focusable="false" viewBox="0 -665 500 687"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span>、虚部是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 500 688"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>紧接着，我们的FFT之旅就要来到下一个目的地——复平面。复平面类似于平面直角坐标系，只不过<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>轴变成了实数、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>轴变成了虚数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。复平面的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>轴因而称作实轴、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>轴称作虚轴，刚才的复数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.809ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2567.4 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mn" transform="translate(1722.4,0)"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g><g data-mml-node="mi" transform="translate(2222.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>可以看作复平面上的一个向量<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="39" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>比如说上一节遗留的式子，递归继续深入一层时，递归函数会变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="11.753ex" height="2.47ex" role="img" focusable="false" viewBox="0 -841.7 5194.6 1091.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(902.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(1291.5,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(2300.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2966.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(4022.6,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g></g></g></svg></mjx-container></span>。假如我们要让括号里的数是1，也就是这个函数在自变量为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>的取值（事实上取成1恰好符合单位根的定义，于是就有简便的计算方式），我们就要解决<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="6.43ex" height="2.09ex" role="img" focusable="false" viewBox="0 -841.7 2842.1 923.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>的问题，而且<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>还必须各不相同……两边同时开根号：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="9.95ex" height="2.072ex" role="img" focusable="false" viewBox="0 -833.9 4398.1 915.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="msup" transform="translate(778,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(2064.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(3120.1,0)"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="mn" transform="translate(3898.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。展开成方程组就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.148ex;" xmlns="http://www.w3.org/2000/svg" width="16.309ex" height="5.428ex" role="img" focusable="false" viewBox="0 -1449.5 7208.8 2399"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo" transform="translate(0 -0.5)"><path data-c="7B" d="M618 -943L612 -949H582L568 -943Q472 -903 411 -841T332 -703Q327 -682 327 -653T325 -350Q324 -28 323 -18Q317 24 301 61T264 124T221 171T179 205T147 225T132 234Q130 238 130 250Q130 255 130 258T131 264T132 267T134 269T139 272T144 275Q207 308 256 367Q310 436 323 519Q324 529 325 851Q326 1124 326 1154T332 1205Q369 1358 566 1443L582 1450H612L618 1444V1429Q618 1413 616 1411L608 1406Q599 1402 585 1393T552 1372T515 1343T479 1305T449 1257T429 1200Q425 1180 425 1152T423 851Q422 579 422 549T416 498Q407 459 388 424T346 364T297 318T250 284T214 264T197 254L188 251L205 242Q290 200 345 138T416 3Q421 -18 421 -48T423 -349Q423 -397 423 -472Q424 -677 428 -694Q429 -697 429 -699Q434 -722 443 -743T465 -782T491 -816T519 -845T548 -868T574 -886T595 -899T610 -908L616 -910Q618 -912 618 -928V-943Z"></path></g><g data-mml-node="mtable" transform="translate(750,0)"><g data-mml-node="mtr" transform="translate(0,600)"><g data-mml-node="mtd"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4620.1,0)"><g data-mml-node="mo"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mn" transform="translate(1338.7,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-683.9)"><g data-mml-node="mtd"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2342.1,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3120.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mtd" transform="translate(4620.1,0)"><g data-mml-node="mo"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60Z"></path></g><g data-mml-node="mn" transform="translate(1338.7,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(7208.8,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>，根据<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的数学定义，方程1解得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="25.46ex" height="2.326ex" role="img" focusable="false" viewBox="0 -833.9 11253.2 1027.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 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227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(4573.1,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 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data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(8637.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(9693.7,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msup" transform="translate(10471.7,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>，方程2解得<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.339ex;" xmlns="http://www.w3.org/2000/svg" width="7.067ex" height="2.226ex" role="img" focusable="false" viewBox="0 -833.9 3123.7 983.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2342.1,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>。也就是：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -4.828ex;" xmlns="http://www.w3.org/2000/svg" width="10.839ex" height="10.787ex" role="img" focusable="false" viewBox="0 -2633.9 4790.7 4767.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mrow"><g data-mml-node="mo"><path data-c="23A7" d="M712 899L718 893V876V865Q718 854 704 846Q627 793 577 710T510 525Q510 524 509 521Q505 493 504 349Q504 345 504 334Q504 277 504 240Q504 -2 503 -4Q502 -8 494 -9T444 -10Q392 -10 390 -9Q387 -8 386 -5Q384 5 384 230Q384 262 384 312T383 382Q383 481 392 535T434 656Q510 806 664 892L677 899H712Z" transform="translate(0,1734.9)"></path><path data-c="23A9" d="M718 -893L712 -899H677L666 -893Q542 -825 468 -714T385 -476Q384 -466 384 -282Q384 3 385 5L389 9Q392 10 444 10Q486 10 494 9T503 4Q504 2 504 -239V-310V-366Q504 -470 508 -513T530 -609Q546 -657 569 -698T617 -767T661 -812T699 -843T717 -856T718 -876V-893Z" transform="translate(0,-1234.9)"></path><path data-c="23A8" d="M389 1159Q391 1160 455 1160Q496 1160 498 1159Q501 1158 502 1155Q504 1145 504 924Q504 691 503 682Q494 549 425 439T243 259L229 250L243 241Q349 175 421 66T503 -182Q504 -191 504 -424Q504 -600 504 -629T499 -659H498Q496 -660 444 -660T390 -659Q387 -658 386 -655Q384 -645 384 -425V-282Q384 -176 377 -116T342 10Q325 54 301 92T255 155T214 196T183 222T171 232Q170 233 170 250T171 268Q171 269 191 284T240 331T300 407T354 524T383 679Q384 691 384 925Q384 1152 385 1155L389 1159Z" transform="translate(0,0)"></path><svg width="889" height="764.9" y="1060" x="0" viewBox="0 134.8 889 764.9"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,3.762)"></path></svg><svg width="889" height="764.9" y="-1324.9" x="0" viewBox="0 134.8 889 764.9"><path data-c="23AA" d="M384 150V266Q384 304 389 309Q391 310 455 310Q496 310 498 309Q502 308 503 298Q504 283 504 150Q504 32 504 12T499 -9H498Q496 -10 444 -10T390 -9Q386 -8 385 2Q384 17 384 150Z" transform="scale(1,3.762)"></path></svg></g><g data-mml-node="mtable" transform="translate(889,0)"><g data-mml-node="mtr" transform="translate(0,1883.9)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2342.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,683.9)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2342.1,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(3120.1,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-600)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2342.1,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msup" transform="translate(3120.1,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-1883.9)"><g data-mml-node="mtd"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,-150) scale(0.707)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g></g><g data-mml-node="mo" transform="translate(1286.3,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msup" transform="translate(2342.1,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></g><g data-mml-node="mo" transform="translate(4790.7,0) translate(0 250)"></g></g></g></g></svg></mjx-container></span>。</p>
+<p>每次递归，函数括号中的参数的幂就会乘2。幂在数值上就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="10.169ex" height="2.402ex" role="img" focusable="false" viewBox="0 -853.7 4494.8 1061.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(951.4,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1396.1,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(2194.8,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(3139.6,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>，解决<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次多项式的拆分需要给出<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>个不同的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>值，因而递归层数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="7.681ex" height="1.984ex" role="img" focusable="false" viewBox="0 -683 3395.2 877"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(503,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(947.7,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(1728.4,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(2673.2,0)"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g></g></g></svg></mjx-container></span>满足如下关系：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.546ex;" xmlns="http://www.w3.org/2000/svg" width="19.786ex" height="2.116ex" role="img" focusable="false" viewBox="0 -694 8745.6 935.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(533,363) scale(0.707)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g><g data-mml-node="mo" transform="translate(1216.5,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mi" transform="translate(2272.2,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3150,0)"><path data-c="2192" d="M56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(4427.8,0)"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mo" transform="translate(5208.6,0)"><path data-c="2265" d="M83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="msub" transform="translate(6264.3,0)"><g data-mml-node="mi"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mn" transform="translate(1311,-241.4) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(7978.9,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(8145.6,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>。因此原方程是七次方程，就需要递归三层，得到8个相异的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>，从而计算出8个点！</p>
+<p>引入单位根的概念：满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.471ex;" xmlns="http://www.w3.org/2000/svg" width="21.001ex" height="2.059ex" role="img" focusable="false" viewBox="0 -702 9282.4 910"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mi" transform="translate(498,363) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(1250,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2305.8,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(2805.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3250.5,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(4128.3,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(5073,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g><g data-mml-node="mo" transform="translate(6428.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(6872.8,0)"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g><g data-mml-node="mo" transform="translate(7615.6,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(8560.4,0)"><g data-mml-node="mi"><path data-c="2102" d="M684 131Q684 125 672 109T633 71T573 29T489 -5T386 -19Q330 -19 276 -3T174 46T91 134T44 261Q39 283 39 341T44 421Q66 538 143 611T341 699Q344 699 364 700T395 701Q449 698 503 677T585 655Q603 655 611 662T620 678T625 694T639 702Q650 702 657 690V481L653 474Q640 467 628 472Q624 476 618 496T595 541Q562 587 507 625T390 663H381Q337 663 299 625Q212 547 212 336Q212 249 233 179Q274 30 405 30Q533 30 641 130Q658 147 666 147Q671 147 677 143T684 131ZM250 625Q264 643 261 643Q238 635 214 620T161 579T110 510T79 414Q74 384 74 341T79 268Q89 213 113 169T164 101T217 61T260 39L277 34Q270 41 264 48Q199 111 181 254Q178 281 178 344T181 434Q200 559 250 625ZM621 565V625Q617 623 613 623Q603 619 590 619H575L588 605Q608 583 610 579L621 565Z"></path></g></g></g></g></svg></mjx-container></span>的复数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container></span>叫做<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次单位根。在复平面上，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次单位根将复平面上的单位圆<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>等分。回到上例中的四次单位根，它们在复平面上的分布如下图：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/p37bt9h8.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/p37bt9h8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>和点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="1.719ex" height="1.645ex" role="img" focusable="false" viewBox="0 -705 760 727"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D436" d="M50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252Z"></path></g></g></g></svg></mjx-container></span>恰好对应实数解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.891ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 1278 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.717ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 759 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D435" d="M231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229Z"></path></g></g></g></svg></mjx-container></span>与点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.873ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 828 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D437" d="M287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469Z"></path></g></g></g></svg></mjx-container></span>对应复数解<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="3.528ex" height="1.912ex" role="img" focusable="false" viewBox="0 -833.9 1559.6 844.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="B1" d="M56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333Z"></path></g><g data-mml-node="msup" transform="translate(778,0)"><g data-mml-node="mi"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(378,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>。</p>
+<p>如果是八次（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="2.119ex" height="1.885ex" role="img" focusable="false" viewBox="0 -833.2 936.6 833.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mn" transform="translate(533,363) scale(0.707)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></g></svg></mjx-container></span>）单位根，图像如下：</p>
+<p><img src="https://cdn.luogu.com.cn/upload/image_hosting/2o25nwt9.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/image_hosting/2o25nwt9.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>其中<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.781ex;" xmlns="http://www.w3.org/2000/svg" width="10.815ex" height="3.246ex" role="img" focusable="false" viewBox="0 -1089.5 4780.1 1434.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D438" d="M492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213Z"></path></g><g data-mml-node="mo" transform="translate(764,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mfrac" transform="translate(1153,0)"><g data-mml-node="msqrt" transform="translate(220,410.4) scale(0.707)"><g transform="translate(853,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(0,82.9)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="500" height="42.4" x="853" y="840.5"></rect></g><g data-mml-node="mn" transform="translate(521.6,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="1156.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(2549.7,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mfrac" transform="translate(2994.4,0)"><g data-mml-node="msqrt" transform="translate(220,410.4) scale(0.707)"><g transform="translate(853,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(0,82.9)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="500" height="42.4" x="853" y="840.5"></rect></g><g data-mml-node="mn" transform="translate(521.6,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="1156.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(4391.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，对应复数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.781ex;" xmlns="http://www.w3.org/2000/svg" width="15.438ex" height="3.246ex" role="img" focusable="false" viewBox="0 -1089.5 6823.7 1434.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mfrac" transform="translate(2462.8,0)"><g data-mml-node="msqrt" transform="translate(220,410.4) scale(0.707)"><g transform="translate(853,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(0,82.9)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="500" height="42.4" x="853" y="840.5"></rect></g><g data-mml-node="mn" transform="translate(521.6,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="1156.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(4081.8,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mfrac" transform="translate(5082,0)"><g data-mml-node="msqrt" transform="translate(220,410.4) scale(0.707)"><g transform="translate(853,0)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(0,82.9)"><path data-c="221A" d="M95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178Z"></path></g><rect width="500" height="42.4" x="853" y="840.5"></rect></g><g data-mml-node="mn" transform="translate(521.6,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="1156.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mi" transform="translate(6478.7,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>，其余同理。由于<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>次单位根相当于将单位圆平分为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>份，并且其中有一个解一定是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.131ex" height="1.507ex" role="img" focusable="false" viewBox="0 -666 500 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>（上图<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: 0;" xmlns="http://www.w3.org/2000/svg" width="1.697ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 750 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D434" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g></g></g></svg></mjx-container></span>点）。联系到三角函数在单位圆中的表示，复平面单位圆上的点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.169ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2284.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(389,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(961,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(1405.7,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1895.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>一定满足<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="19.282ex" height="2.059ex" role="img" focusable="false" viewBox="0 -705 8522.8 910"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(1905.6,0)"><path data-c="63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(444,0)"></path><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" transform="translate(944,0)"></path></g><g data-mml-node="mo" transform="translate(3243.6,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3410.2,0)"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></g><g data-mml-node="mo" transform="translate(3879.2,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(4323.9,0)"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(5091.7,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(6147.4,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(6659.1,0)"><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path><path data-c="69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" transform="translate(394,0)"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(672,0)"></path></g><g data-mml-node="mo" transform="translate(7887.1,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(8053.8,0)"><path data-c="1D703" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></g></g></g></svg></mjx-container></span>。因此若<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="6.703ex" height="2.463ex" role="img" focusable="false" viewBox="0 -833.9 2962.8 1088.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2462.8,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，则<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.798ex;" xmlns="http://www.w3.org/2000/svg" width="32.883ex" height="2.755ex" role="img" focusable="false" viewBox="0 -864.9 14534.5 1217.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(2462.8,0)"><path data-c="63" d="M370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 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187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z" transform="translate(944,0)"></path></g><g data-mml-node="mo" transform="translate(3800.8,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mfrac" transform="translate(3967.5,0)"><g data-mml-node="mrow" transform="translate(220,394) scale(0.707)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(1029,0)"><path data-c="1D70B" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></g></g><g data-mml-node="mi" transform="translate(573.2,-345) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><rect width="1330.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(5760.4,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mi" transform="translate(6760.6,0)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(7272.3,0)"><path data-c="73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path><path data-c="69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z" transform="translate(394,0)"></path><path data-c="6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z" transform="translate(672,0)"></path></g><g data-mml-node="mo" transform="translate(8500.3,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mfrac" transform="translate(8666.9,0)"><g data-mml-node="mrow" transform="translate(220,394) scale(0.707)"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mi" transform="translate(1029,0)"><path data-c="1D70B" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></g></g><g data-mml-node="mi" transform="translate(573.2,-345) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><rect width="1330.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(10237.6,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(10682.3,0)"><path data-c="1D44E" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g data-mml-node="mo" transform="translate(11489,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="mo" transform="translate(12433.8,0)"><path data-c="5B" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g data-mml-node="mn" transform="translate(12711.8,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(13211.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(13656.5,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(14256.5,0)"><path data-c="5D" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>假如我们按逆时针方向，起始点<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.029ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2222.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mo"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(389,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(889,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mn" transform="translate(1333.7,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mo" transform="translate(1833.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>（实轴）从0开始编号，并将八次单位根和四次单位根的图像作比较，可以导出单位根的两条性质（<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.781ex;" xmlns="http://www.w3.org/2000/svg" width="14.168ex" height="2.379ex" role="img" focusable="false" viewBox="0 -706.5 6262.2 1051.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(798.8,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g data-mml-node="mfrac" transform="translate(1854.6,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(2718.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3163.5,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(3962.3,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(4907,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>）：</p>
+<ol type="1">
+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="12.388ex" height="3.059ex" role="img" focusable="false" viewBox="0 -1097.2 5475.5 1351.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,597.6) scale(0.707)" 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422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g><g data-mml-node="TeXAtom" transform="translate(655,-138.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 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297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 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+<li><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.687ex;" xmlns="http://www.w3.org/2000/svg" width="8.927ex" height="2.618ex" role="img" focusable="false" viewBox="0 -853.7 3945.6 1157.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 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-11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g 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data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>（单位根次数和编号同乘2，坐标相同）</li>
+</ol>
+<p>特殊地，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="12.275ex" height="2.463ex" role="img" focusable="false" viewBox="0 -833.9 5425.6 1088.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msubsup" transform="translate(2462.8,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(3869.9,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(4925.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>.</p>
+<p>这下终于可以开始从一般例子出手推了。令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="64.781ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 28633.4 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 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570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="TeXAtom" data-mjx-texclass="ORD" transform="translate(27911.4,0)"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 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+<p>按照奇偶项分为两组（这里可以直接通过<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>的奇偶性判断），折半次数，递归层数为1——令奇项函数为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.127ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2265.9 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(915.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1304.9,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1876.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>，偶项函数为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.096ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2252.5 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 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transform="translate(1291.5,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1863.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 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385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(915.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1304.9,0)"><path data-c="1D465" 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425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="msup" transform="translate(15951.4,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="TeXAtom" transform="translate(605,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>。将奇偶项的自变量设为<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.912ex" role="img" focusable="false" viewBox="0 -833.9 1008.6 844.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>以表示出原式，即未折半的函数的未知数的次数：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="23.574ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 10419.6 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2177.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 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385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(4721.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(5110.5,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(6119.1,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(6730.3,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="msub" transform="translate(7730.5,0)"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(8633,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msup" transform="translate(9022,0)"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g><g data-mml-node="mo" transform="translate(10030.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<p>函数的自变量来到了<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="2.282ex" height="1.912ex" role="img" focusable="false" viewBox="0 -833.9 1008.6 844.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msup"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></g></svg></mjx-container></span>，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.506ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2433.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></g></svg></mjx-container></span>。该轮到单位根显神通了，令<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.781ex;" xmlns="http://www.w3.org/2000/svg" width="14.168ex" height="2.379ex" role="img" focusable="false" viewBox="0 -706.5 6262.2 1051.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(798.8,0)"><path data-c="2264" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 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93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(2718.8,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="mi" transform="translate(3163.5,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(3962.3,0)"><path data-c="2208" d="M84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250Z"></path></g><g data-mml-node="msub" transform="translate(4907,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="2115" d="M20 664Q20 666 31 683H142Q256 683 258 681Q259 680 279 653T342 572T422 468L582 259V425Q582 451 582 490T583 541Q583 611 573 628T522 648Q500 648 493 654Q484 665 493 679L500 683H691Q702 676 702 666Q702 657 698 652Q688 648 680 648Q633 648 627 612Q624 601 624 294V-8Q616 -20 607 -20Q601 -20 596 -15Q593 -13 371 270L156 548L153 319Q153 284 153 234T152 167Q152 103 156 78T172 44T213 34Q236 34 242 28Q253 17 242 3L236 -1H36Q24 6 24 16Q24 34 56 34Q58 35 69 36T86 40T100 50T109 72Q111 83 111 345V603L96 619Q72 643 44 648Q20 648 20 664ZM413 419L240 648H120L136 628Q137 626 361 341T587 54L589 68Q589 78 589 121V192L413 419Z"></path></g></g><g data-mml-node="mo" transform="translate(755,-150) scale(0.707)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g></g></g></g></svg></mjx-container></span>，此时的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="6.866ex" height="2.508ex" role="img" focusable="false" viewBox="0 -853.7 3034.8 1108.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(849.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="msubsup" transform="translate(1905.6,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 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transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>，根据上述单位根的两条性质，推出如下式子：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="27.988ex" height="2.508ex" role="img" focusable="false" viewBox="0 -853.7 12370.9 1108.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 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431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(5836,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g 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403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(10055.1,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 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415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-324.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g><g data-mml-node="mo" transform="translate(11760.2,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>；</p>
+<p>如果此时<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.332ex;" xmlns="http://www.w3.org/2000/svg" width="9.367ex" height="2.814ex" role="img" focusable="false" viewBox="0 -1097.2 4140.2 1243.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 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data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 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-11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mfrac" transform="translate(1299,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 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-157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(23355.8,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="msubsup" transform="translate(23744.8,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mi" transform="translate(500,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(25394,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250Z"></path></g><g data-mml-node="msubsup" transform="translate(25894.2,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(27023.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>、根据第一条性质，<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="12.388ex" height="3.059ex" role="img" focusable="false" viewBox="0 -1097.2 5475.5 1351.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mo" transform="translate(2462.8,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="msubsup" transform="translate(3240.8,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,597.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mo" transform="translate(521,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mfrac" transform="translate(1299,0)"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g><g data-mml-node="TeXAtom" transform="translate(655,-138.9) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>以及特殊情况<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="6.703ex" height="2.105ex" role="img" focusable="false" viewBox="0 -675.5 2962.8 930.3"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g><g data-mml-node="mo" transform="translate(1407,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(2462.8,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>，代入，根据第二条性质，次数编号同除以2，得到：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.286ex;" xmlns="http://www.w3.org/2000/svg" width="55.937ex" height="3.768ex" role="img" focusable="false" viewBox="0 -1097.2 24724.3 1665.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 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+<p>正因此，当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.289ex;" xmlns="http://www.w3.org/2000/svg" width="23.357ex" height="3.772ex" role="img" focusable="false" viewBox="0 -1097.2 10323.7 1667.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" 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27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g><g data-mml-node="mo" transform="translate(8562.9,0)"><path data-c="2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g data-mml-node="msubsup" transform="translate(9007.5,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,597.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g><g data-mml-node="TeXAtom" transform="translate(655,-326) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g></g></g></svg></mjx-container></span>已知时，代入<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.299ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1900 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>计算，那么当<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 572 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g></g></g></svg></mjx-container></span>取<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -1.289ex;" xmlns="http://www.w3.org/2000/svg" width="29.068ex" height="3.772ex" role="img" focusable="false" viewBox="0 -1097.2 12847.8 1667.1"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,597.6) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(500,0)"><path data-c="2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path></g><g data-mml-node="mfrac" transform="translate(1278,0)"><g 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170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g><g data-mml-node="TeXAtom" transform="translate(655,-326) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mfrac"><g data-mml-node="mi" transform="translate(220,394) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 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92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mn" transform="translate(255.4,-345) scale(0.707)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g><g data-mml-node="mo" transform="translate(7715.4,0)"><path data-c="2026" d="M78 60Q78 84 95 102T138 120Q162 120 180 104T199 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230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 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383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><rect width="624.3" height="60" x="120" y="220"></rect></g></g></g></g></g></svg></mjx-container></span>时的<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.299ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1900 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(550,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(939,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1511,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>值也就明确了（根据性质第二条直接求出）。<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.127ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2265.9 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D45C" d="M201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120Z"></path></g></g><g data-mml-node="mo" transform="translate(915.9,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1304.9,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1876.9,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>和<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="5.096ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2252.5 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mi" transform="translate(523,-150) scale(0.707)"><path data-c="1D452" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g></g><g data-mml-node="mo" transform="translate(902.5,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1291.5,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1863.5,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>就可以将问题规模缩小一半，递归的边界就是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.186ex;" xmlns="http://www.w3.org/2000/svg" width="5.506ex" height="1.692ex" role="img" focusable="false" viewBox="0 -666 2433.6 748"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(877.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mn" transform="translate(1933.6,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g></svg></mjx-container></span>。</p>
+<h4 id="div4.-ifft与蝴蝶操作">Div4. IFFT与蝴蝶操作</h4>
+<p>IFFT的中文名称是快速傅里叶逆变换。有些人<del>比如刚开始接触FFT的我</del>认为只要敲出FFT的代码，就可以解决任何函数卷积的问题了……错了，FFT主要是将系数表示法转换为点值表示法，相当于数学考试解析式求解题题干里给你的已知点坐标！卷积之路才刚刚过半，接下来介绍如何将相乘后得到的点值表示法重新转化为系数表示法。由于FFT是系数到点值的转换、这种方式是点值到系数的转换，因而称之快速傅里叶逆变换——IFFT。</p>
+<p>我们的FFT算法已经将两个函数的卷积<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="15.807ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 6986.6 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="210E" d="M137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683Z"></path></g><g data-mml-node="mo" transform="translate(576,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(965,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(1537,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mo" transform="translate(2203.8,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="mi" transform="translate(3259.6,0)"><path data-c="1D453" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path></g><g data-mml-node="mo" transform="translate(3809.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(4198.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(4770.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g data-mml-node="mi" transform="translate(5159.6,0)"><path data-c="1D454" d="M311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328Z"></path></g><g data-mml-node="mo" transform="translate(5636.6,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(6025.6,0)"><path data-c="1D465" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g data-mml-node="mo" transform="translate(6597.6,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>按照点值形式求了出来，但是一般生活中大家还是习惯性使用解析式，也就是系数表示法表示一个函数，就需要借助IFFT将卷积的点值形式重新转化为系数形式。</p>
+<p>假设一个函数的系数形式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.097ex" height="1.027ex" role="img" focusable="false" viewBox="0 -443 485 454"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g></g></g></svg></mjx-container></span>在经历了一次FFT后变成了其点值形式<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g></g></g></svg></mjx-container></span>。根据FFT有：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="15.01ex" height="5.807ex" role="img" focusable="false" viewBox="0 -1520.9 6634.3 2566.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="mo" transform="translate(1232.2,0)"><path data-c="3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g data-mml-node="munderover" transform="translate(2288,0)"><g data-mml-node="mo" transform="translate(136,0)"><path data-c="2211" d="M61 748Q64 750 489 750H913L954 640Q965 609 976 579T993 533T999 516H979L959 517Q936 579 886 621T777 682Q724 700 655 705T436 710H319Q183 710 183 709Q186 706 348 484T511 259Q517 250 513 244L490 216Q466 188 420 134T330 27L149 -187Q149 -188 362 -188Q388 -188 436 -188T506 -189Q679 -189 778 -162T936 -43Q946 -27 959 6H999L913 -249L489 -250Q65 -250 62 -248Q56 -246 56 -239Q56 -234 118 -161Q186 -81 245 -11L428 206Q428 207 242 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transform="translate(1123,0)"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(0,950) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(600,0)"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mn" transform="translate(1378,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></g></g><g data-mml-node="msub" transform="translate(3782.6,0)"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D456" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g></g><g data-mml-node="mo" transform="translate(4816.7,0)"><path data-c="22C5" d="M78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 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43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(345,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>。IFFT的作用就是将<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.439ex;" xmlns="http://www.w3.org/2000/svg" width="2.159ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 954.4 636"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D45D" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path></g><g data-mml-node="mi" transform="translate(536,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>变成<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.357ex;" xmlns="http://www.w3.org/2000/svg" width="2.119ex" height="1.359ex" role="img" focusable="false" viewBox="0 -443 936.4 600.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g></g></g></svg></mjx-container></span>，下面是具体操作：</p>
+<p><span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -2.366ex;" xmlns="http://www.w3.org/2000/svg" width="16.952ex" height="5.807ex" role="img" focusable="false" viewBox="0 -1520.9 7492.9 2566.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><path data-c="1D463" d="M173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380Z"></path></g><g data-mml-node="mi" transform="translate(518,-150) scale(0.707)"><path 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149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1123,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 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+<p>简记为：根倒求和、<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container></span>倒乘积。</p>
+<p>再加上，复数的乘积在复平面上有个奇妙的性质：复平面上一个向量可以看作是从实轴正半轴逆时针旋转特定的角度后得到的，这个角度称作向量的辐角，复数相乘时，得到的结果的辐角将是这两个向量的辐角之和、模长将是两个向量模长的乘积。简称辐角相加、模长相乘。除法作为乘法的逆运算，它在复平面上操作的结果是辐角相减、模长相除。因而单位根的倒数<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="3.673ex" height="2.508ex" role="img" focusable="false" viewBox="0 -853.7 1623.5 1108.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="TeXAtom" transform="translate(655,363) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mo"><path data-c="2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path></g><g data-mml-node="mi" transform="translate(778,0)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></g><g data-mml-node="TeXAtom" transform="translate(655,-247) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></g></svg></mjx-container></span>可以看作<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="6.452ex" height="2.508ex" role="img" focusable="false" viewBox="0 -853.7 2851.7 1108.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(722.2,0)"><path data-c="F7" d="M318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34Z"></path></g><g data-mml-node="msubsup" transform="translate(1722.4,0)"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="mi" transform="translate(655,363) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(655,-247) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>，也就是从实轴正半轴顺时针旋转<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.576ex;" xmlns="http://www.w3.org/2000/svg" width="2.555ex" height="2.508ex" role="img" focusable="false" viewBox="0 -853.7 1129.3 1108.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="msubsup"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g><g data-mml-node="mi" transform="translate(655,363) scale(0.707)"><path data-c="1D458" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g data-mml-node="mi" transform="translate(655,-247) scale(0.707)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></g></g></svg></mjx-container></span>的辐角大小。计算<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.407ex" height="1.027ex" role="img" focusable="false" viewBox="0 -443 622 454"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D714" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path></g></g></g></svg></mjx-container></span>时就可以把原单位根关于实轴做一次对称变换，即虚部取相反数，也就是共轭。</p>
+<p>对于代码的设计，尽管C++STL库提供了<code>Complex&lt;&gt;</code>复数类，但还是建议手写Complex。因为STL库的运行效率有时会很慢，会被卡掉，而且它的码量也不大，手写难度不高。强烈推荐手写结构体Complex。</p>
+<p>递归Version：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">include</span> <span class="token string">&lt;bits/stdc++.h&gt;</span></span>
+<span class="token macro property"><span class="token directive-hash">#</span><span class="token directive keyword">define</span> <span class="token macro-name">N</span> <span class="token expression"><span class="token number">6000010</span></span></span>
+<span class="token keyword">using</span> <span class="token keyword">namespace</span> std<span class="token punctuation">;</span>
+
+<span class="token keyword">const</span> <span class="token keyword">double</span> PI <span class="token operator">=</span> <span class="token function">acos</span><span class="token punctuation">(</span><span class="token operator">-</span><span class="token number">1.0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+
+<span class="token keyword">struct</span> <span class="token class-name">Complex</span> <span class="token punctuation">{</span>
+	<span class="token keyword">double</span> real<span class="token punctuation">,</span> imag<span class="token punctuation">;</span>
+	
+	<span class="token function">Complex</span><span class="token punctuation">(</span><span class="token keyword">double</span> r <span class="token operator">=</span> <span class="token number">0.0</span><span class="token punctuation">,</span> <span class="token keyword">double</span> i <span class="token operator">=</span> <span class="token number">0.0</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		real <span class="token operator">=</span> r<span class="token punctuation">,</span> imag <span class="token operator">=</span> i<span class="token punctuation">;</span>
+	<span class="token punctuation">}</span> 	
+<span class="token punctuation">}</span> f<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">,</span> g<span class="token punctuation">[</span>N<span class="token punctuation">]</span><span class="token punctuation">;</span>
+
+Complex <span class="token keyword">operator</span> <span class="token operator">+</span><span class="token punctuation">(</span><span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>l<span class="token punctuation">,</span> <span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>r<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	Complex <span class="token function">res</span><span class="token punctuation">(</span>l<span class="token punctuation">.</span>real <span class="token operator">+</span> r<span class="token punctuation">.</span>real<span class="token punctuation">,</span> l<span class="token punctuation">.</span>imag <span class="token operator">+</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+Complex <span class="token keyword">operator</span> <span class="token operator">-</span><span class="token punctuation">(</span><span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>l<span class="token punctuation">,</span> <span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>r<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	Complex <span class="token function">res</span><span class="token punctuation">(</span>l<span class="token punctuation">.</span>real <span class="token operator">-</span> r<span class="token punctuation">.</span>real<span class="token punctuation">,</span> l<span class="token punctuation">.</span>imag <span class="token operator">-</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+Complex <span class="token keyword">operator</span> <span class="token operator">*</span><span class="token punctuation">(</span><span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>l<span class="token punctuation">,</span> <span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>r<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">//(a+bi)*(c+di)=(ac-bd)+(ad+bc)i</span>
+	Complex <span class="token function">res</span><span class="token punctuation">(</span>l<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>real <span class="token operator">-</span> l<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">,</span> l<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>imag <span class="token operator">+</span> l<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>real<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+Complex <span class="token keyword">operator</span> <span class="token operator">/</span><span class="token punctuation">(</span><span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>l<span class="token punctuation">,</span> <span class="token keyword">const</span> Complex <span class="token operator">&amp;</span>r<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">//(a+bi)/(c+di)=(a+bi)(c-di)/(c^2+d^2)=[(ac+bd)+(bc-ad)i]/(c^2+d^2)</span>
+	Complex <span class="token function">res</span><span class="token punctuation">(</span><span class="token punctuation">(</span>l<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>real <span class="token operator">+</span> l<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span> <span class="token operator">/</span> <span class="token punctuation">(</span>r<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>real <span class="token operator">+</span> r<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span><span class="token punctuation">,</span> <span class="token punctuation">(</span>l<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>real <span class="token operator">-</span> l<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span> <span class="token operator">/</span> <span class="token punctuation">(</span>r<span class="token punctuation">.</span>real <span class="token operator">*</span> r<span class="token punctuation">.</span>real <span class="token operator">+</span> r<span class="token punctuation">.</span>imag <span class="token operator">*</span> r<span class="token punctuation">.</span>imag<span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">void</span> <span class="token function">FT</span><span class="token punctuation">(</span><span class="token keyword">int</span> len<span class="token punctuation">,</span> Complex <span class="token operator">*</span>c<span class="token punctuation">,</span> <span class="token keyword">int</span> type<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token comment">// type=1时为FFT，type=-1时单位根纵坐标取相反数，为IFFT </span>
+	<span class="token keyword">if</span> <span class="token punctuation">(</span>len <span class="token operator">==</span> <span class="token number">1</span><span class="token punctuation">)</span> <span class="token keyword">return</span><span class="token punctuation">;</span>
+	Complex c1<span class="token punctuation">[</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">,</span> c2<span class="token punctuation">[</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// c1为偶项系数，c2为奇项系数，数组大小除以2 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> len<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token comment">// 按奇偶性分类存储 </span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>i <span class="token operator">%</span> <span class="token number">2</span> <span class="token operator">==</span> <span class="token number">0</span><span class="token punctuation">)</span> c1<span class="token punctuation">[</span>i <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">=</span> c<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 紧凑存储，c1、c2数组下标除以2 </span>
+		<span class="token keyword">else</span> c2<span class="token punctuation">[</span>i <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">]</span> <span class="token operator">=</span> c<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token function">FT</span><span class="token punctuation">(</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">,</span> c1<span class="token punctuation">,</span> type<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 处理偶项 </span>
+	<span class="token function">FT</span><span class="token punctuation">(</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">,</span> c2<span class="token punctuation">,</span> type<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 处理奇项</span>
+	Complex omega <span class="token operator">=</span> <span class="token function">Complex</span><span class="token punctuation">(</span><span class="token function">cos</span><span class="token punctuation">(</span><span class="token number">2.0</span> <span class="token operator">*</span> PI <span class="token operator">/</span> len<span class="token punctuation">)</span><span class="token punctuation">,</span> type <span class="token operator">*</span> <span class="token function">sin</span><span class="token punctuation">(</span><span class="token number">2.0</span> <span class="token operator">*</span> PI <span class="token operator">/</span> len<span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 计算单位根 </span>
+	Complex k <span class="token operator">=</span> <span class="token function">Complex</span><span class="token punctuation">(</span><span class="token number">1.0</span><span class="token punctuation">,</span> <span class="token number">0.0</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">register</span> Complex butterfly<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;</span> <span class="token punctuation">(</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">,</span> k <span class="token operator">=</span> k <span class="token operator">*</span> omega<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		butterfly <span class="token operator">=</span> k <span class="token operator">*</span> c2<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 蝴蝶操作，记录下复数乘积（现场算太慢）便于调用 </span>
+		c<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> c1<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">+</span> butterfly<span class="token punctuation">;</span> <span class="token comment">// 单位根 </span>
+		c<span class="token punctuation">[</span>i <span class="token operator">+</span> <span class="token punctuation">(</span>len <span class="token operator">&gt;&gt;</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">]</span> <span class="token operator">=</span> c1<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">-</span> butterfly<span class="token punctuation">;</span> <span class="token comment">// 单位根性质，系数取反得到另一半 </span>
+	<span class="token punctuation">}</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">void</span> <span class="token function">IFFT</span><span class="token punctuation">(</span><span class="token keyword">int</span> len<span class="token punctuation">,</span> Complex <span class="token operator">*</span>c<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token function">FT</span><span class="token punctuation">(</span>len<span class="token punctuation">,</span> c<span class="token punctuation">,</span> <span class="token operator">-</span><span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span> 
+
+<span class="token keyword">void</span> <span class="token function">FFT</span><span class="token punctuation">(</span><span class="token keyword">int</span> len<span class="token punctuation">,</span> Complex <span class="token operator">*</span>c<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token function">FT</span><span class="token punctuation">(</span>len<span class="token punctuation">,</span> c<span class="token punctuation">,</span> <span class="token number">1</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span>
+
+<span class="token keyword">int</span> <span class="token function">main</span><span class="token punctuation">(</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> n<span class="token punctuation">,</span> m<span class="token punctuation">;</span>
+	cin<span class="token operator">&gt;&gt;</span>n<span class="token operator">&gt;&gt;</span>m<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> cin<span class="token operator">&gt;&gt;</span>f<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span>real<span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> m<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> cin<span class="token operator">&gt;&gt;</span>g<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span>real<span class="token punctuation">;</span>
+	<span class="token keyword">int</span> len <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">while</span> <span class="token punctuation">(</span>len <span class="token operator">&lt;=</span> n <span class="token operator">+</span> m<span class="token punctuation">)</span> len <span class="token operator">&lt;&lt;=</span> <span class="token number">1</span><span class="token punctuation">;</span> <span class="token comment">// 得到最小递归层数</span>
+	<span class="token function">FFT</span><span class="token punctuation">(</span>len<span class="token punctuation">,</span> f<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token function">FFT</span><span class="token punctuation">(</span>len<span class="token punctuation">,</span> g<span class="token punctuation">)</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> len<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> f<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> f<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">*</span> g<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">;</span> <span class="token comment">// 点值相乘得到卷积点值</span>
+	<span class="token function">IFFT</span><span class="token punctuation">(</span>len<span class="token punctuation">,</span> f<span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">// 卷积点值转化为系数 </span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> n <span class="token operator">+</span> m<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> cout<span class="token operator">&lt;&lt;</span><span class="token punctuation">(</span><span class="token keyword">int</span><span class="token punctuation">)</span> <span class="token punctuation">(</span>f<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">.</span>real <span class="token operator">/</span> len <span class="token operator">+</span> <span class="token number">0.5</span><span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span><span class="token char">' '</span><span class="token punctuation">;</span>
+	<span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>时间复杂度：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.922ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4385.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1951.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3396.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3996.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>这个代码足够通过模板题<del>有些人说不行，只需把数组开大一点点（5e6起步）就可以了</del>……但是这个代码其实还可以继续优化，但是这下就很棘手了，<del>本来推来推去已经够烧脑了你还要让我优化？</del>，考虑到递归算法有些低效，浪费了一些空间和执行效率。那么我们如何把它变成一个非递归版本呢？答案是迭代！</p>
+<h4 id="迭代fft与二进制优化">迭代FFT与二进制优化</h4>
+<p>我们按照奇偶下标将原多项式分为了偶项和奇项，这样做的复杂度是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="9.922ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4385.3 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mi" transform="translate(1951.7,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(3396.3,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3996.3,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>。我们仔细观察一下抽出的系数之间下标的联系：</p>
+<p>递归之前，系数下标：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="11.692ex" height="1.581ex" role="img" focusable="false" viewBox="0 -677 5168 699"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mstyle" transform="translate(500,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mstyle" transform="translate(1278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(1556,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mstyle" transform="translate(2056,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(2334,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mstyle" transform="translate(2834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(3112,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mstyle" transform="translate(3612,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(3890,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mstyle" transform="translate(4390,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(4668,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>递归一层，系数下标：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="12.95ex" height="2.26ex" role="img" focusable="false" viewBox="0 -749.5 5724 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mstyle" transform="translate(500,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mstyle" transform="translate(1278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(1556,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mstyle" transform="translate(2056,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(2334,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mstyle" transform="translate(2834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(3112,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(3390,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(3668,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mstyle" transform="translate(4168,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(4446,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g><g data-mml-node="mstyle" transform="translate(4946,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(5224,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>递归两层，系数下标：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="17.353ex" height="2.26ex" role="img" focusable="false" viewBox="0 -749.5 7670 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mstyle" transform="translate(500,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(778,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mstyle" transform="translate(1278,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(1556,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(1834,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(2112,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mstyle" transform="translate(2612,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(2890,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mstyle" transform="translate(3390,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(3668,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(3946,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(4224,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(4502,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(4780,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mstyle" transform="translate(5058,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(5336,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mstyle" transform="translate(5836,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(6114,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mo" transform="translate(6614,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(6892,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(7170,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>递归三层，系数下标：<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.564ex;" xmlns="http://www.w3.org/2000/svg" width="18.611ex" height="2.26ex" role="img" focusable="false" viewBox="0 -749.5 8226 999"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g data-mml-node="mstyle" transform="translate(500,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(778,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mn" transform="translate(1056,0)"><path data-c="34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path></g><g data-mml-node="mstyle" transform="translate(1556,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(1834,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(2112,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(2390,0)"><path data-c="32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g data-mml-node="mstyle" transform="translate(2890,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(3168,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(3446,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(3724,0)"><path data-c="36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g data-mml-node="mstyle" transform="translate(4224,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(4502,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(4780,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(5058,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mstyle" transform="translate(5558,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(5836,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(6114,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(6392,0)"><path data-c="35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g><g data-mml-node="mstyle" transform="translate(6892,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mo" transform="translate(7170,0) translate(0 -0.5)"><path data-c="7C" d="M139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139Z"></path></g><g data-mml-node="mstyle" transform="translate(7448,0)"><g data-mml-node="mspace"></g></g><g data-mml-node="mn" transform="translate(7726,0)"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></g></svg></mjx-container></span></p>
+<p>既然称作二进制优化，我们来看看第三层的数字写成二进制形式是怎样的：<code>000  100  010  110  001  101  011</code></p>
+<p>没有规律……别急，我们把数字倒过来念：<code>000  001  010  011  100  101  110</code>。诶？他们是单调递增的，再写成十进制就是：<code>0 1 2 3 4 5 6</code>。我们就找到规律了：递归结束时系数下标的二进制值等于原多项式的系数下标的颠倒二进制值</p>
+<p>常规操作，我们使用进制转换来实现二进制逆序，这样的时间复杂度是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="8.187ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 3618.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="6C" d="M42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42Z"></path><path data-c="6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z" transform="translate(278,0)"></path><path data-c="67" d="M329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75Z" transform="translate(778,0)"></path></g><g data-mml-node="mo" transform="translate(2463,0)"><path data-c="2061" d=""></path></g><g data-mml-node="mi" transform="translate(2629.7,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(3229.7,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> <span class="token function">rev</span><span class="token punctuation">(</span><span class="token keyword">int</span> n<span class="token punctuation">)</span> <span class="token punctuation">{</span>
+	<span class="token keyword">int</span> res <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
+	<span class="token keyword">int</span> k <span class="token operator">=</span> <span class="token function">log2</span><span class="token punctuation">(</span>n<span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token keyword">for</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i <span class="token operator">=</span> <span class="token number">1</span><span class="token punctuation">;</span> i <span class="token operator">&lt;=</span> k<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span> <span class="token punctuation">{</span>
+		<span class="token keyword">if</span> <span class="token punctuation">(</span>n <span class="token operator">&amp;</span> <span class="token number">1</span><span class="token punctuation">)</span> res <span class="token operator">+=</span> <span class="token function">pow</span><span class="token punctuation">(</span><span class="token number">2</span><span class="token punctuation">,</span> k <span class="token operator">-</span> i<span class="token punctuation">)</span><span class="token punctuation">;</span>
+		n <span class="token operator">&gt;&gt;=</span> <span class="token number">1</span><span class="token punctuation">;</span>
+	<span class="token punctuation">}</span>
+	<span class="token keyword">return</span> res<span class="token punctuation">;</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>借鉴了<a target="_blank" rel="noopener" href="https://www.luogu.com.cn/blog/fusu2333/solution-p3803">这篇题解</a>的逆序思路，逆序的时间复杂度是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.692ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2074 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mn" transform="translate(1185,0)"><path data-c="31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g data-mml-node="mo" transform="translate(1685,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的，处理数组的复杂度是<span class="math inline"><mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.566ex;" xmlns="http://www.w3.org/2000/svg" width="4.919ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2174 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mi"><path data-c="4F" d="M308 428Q289 428 289 438Q289 457 318 508T378 593Q417 638 475 671T599 705Q688 705 732 643T777 483Q777 380 733 285T620 123T464 18T293 -22Q188 -22 123 51T58 245Q58 327 87 403T159 533T249 626T333 685T388 705Q404 705 404 693Q404 674 363 649Q333 632 304 606T239 537T181 429T158 290Q158 179 214 114T364 48Q489 48 583 165T677 438Q677 473 670 505T648 568T601 617T528 636Q518 636 513 635Q486 629 460 600T419 544T392 490Q383 470 372 459Q341 430 308 428Z"></path></g></g><g data-mml-node="mo" transform="translate(796,0)"><path data-c="28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g data-mml-node="mi" transform="translate(1185,0)"><path data-c="1D45B" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g data-mml-node="mo" transform="translate(1785,0)"><path data-c="29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></g></svg></mjx-container></span>的：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">int</span> l<span class="token punctuation">,</span>r<span class="token punctuation">[</span>MAXN<span class="token punctuation">]</span><span class="token punctuation">;</span>
+<span class="token keyword">int</span> limit<span class="token operator">=</span><span class="token number">1</span><span class="token punctuation">;</span>
+<span class="token keyword">void</span> <span class="token function">fast_fast_tle</span><span class="token punctuation">(</span>complex <span class="token operator">*</span>A<span class="token punctuation">,</span><span class="token keyword">int</span> type<span class="token punctuation">)</span>
+<span class="token punctuation">{</span>
+    <span class="token keyword">for</span><span class="token punctuation">(</span><span class="token keyword">int</span> i<span class="token operator">=</span><span class="token number">0</span><span class="token punctuation">;</span>i<span class="token operator">&lt;</span>limit<span class="token punctuation">;</span>i<span class="token operator">++</span><span class="token punctuation">)</span> 
+        <span class="token keyword">if</span><span class="token punctuation">(</span>i<span class="token operator">&lt;</span>r<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">)</span> <span class="token function">swap</span><span class="token punctuation">(</span>A<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">,</span>A<span class="token punctuation">[</span>r<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token punctuation">]</span><span class="token punctuation">)</span><span class="token punctuation">;</span><span class="token comment">//求出要迭代的序列 </span>
+    <span class="token keyword">for</span><span class="token punctuation">(</span><span class="token keyword">int</span> mid<span class="token operator">=</span><span class="token number">1</span><span class="token punctuation">;</span>mid<span class="token operator">&lt;</span>limit<span class="token punctuation">;</span>mid<span class="token operator">&lt;&lt;=</span><span class="token number">1</span><span class="token punctuation">)</span><span class="token comment">//待合并区间的中点</span>
+    <span class="token punctuation">{</span>
+        complex <span class="token function">Wn</span><span class="token punctuation">(</span> <span class="token function">cos</span><span class="token punctuation">(</span>Pi<span class="token operator">/</span>mid<span class="token punctuation">)</span> <span class="token punctuation">,</span> type<span class="token operator">*</span><span class="token function">sin</span><span class="token punctuation">(</span>Pi<span class="token operator">/</span>mid<span class="token punctuation">)</span> <span class="token punctuation">)</span><span class="token punctuation">;</span> <span class="token comment">//单位根 </span>
+        <span class="token keyword">for</span><span class="token punctuation">(</span><span class="token keyword">int</span> R<span class="token operator">=</span>mid<span class="token operator">&lt;&lt;</span><span class="token number">1</span><span class="token punctuation">,</span>j<span class="token operator">=</span><span class="token number">0</span><span class="token punctuation">;</span>j<span class="token operator">&lt;</span>limit<span class="token punctuation">;</span>j<span class="token operator">+=</span>R<span class="token punctuation">)</span><span class="token comment">//R是区间的右端点，j表示前已经到哪个位置了 </span>
+        <span class="token punctuation">{</span>
+            complex <span class="token function">w</span><span class="token punctuation">(</span><span class="token number">1</span><span class="token punctuation">,</span><span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">;</span><span class="token comment">//幂 </span>
+            <span class="token keyword">for</span><span class="token punctuation">(</span><span class="token keyword">int</span> k<span class="token operator">=</span><span class="token number">0</span><span class="token punctuation">;</span>k<span class="token operator">&lt;</span>mid<span class="token punctuation">;</span>k<span class="token operator">++</span><span class="token punctuation">,</span>w<span class="token operator">=</span>w<span class="token operator">*</span>Wn<span class="token punctuation">)</span><span class="token comment">//枚举左半部分 </span>
+            <span class="token punctuation">{</span>
+                 complex x<span class="token operator">=</span>A<span class="token punctuation">[</span>j<span class="token operator">+</span>k<span class="token punctuation">]</span><span class="token punctuation">,</span>y<span class="token operator">=</span>w<span class="token operator">*</span>A<span class="token punctuation">[</span>j<span class="token operator">+</span>mid<span class="token operator">+</span>k<span class="token punctuation">]</span><span class="token punctuation">;</span><span class="token comment">//蝴蝶效应（应为“蝴蝶操作”） </span>
+                A<span class="token punctuation">[</span>j<span class="token operator">+</span>k<span class="token punctuation">]</span><span class="token operator">=</span>x<span class="token operator">+</span>y<span class="token punctuation">;</span>
+                A<span class="token punctuation">[</span>j<span class="token operator">+</span>mid<span class="token operator">+</span>k<span class="token punctuation">]</span><span class="token operator">=</span>x<span class="token operator">-</span>y<span class="token punctuation">;</span>
+            <span class="token punctuation">}</span>
+        <span class="token punctuation">}</span>
+    <span class="token punctuation">}</span>
+<span class="token punctuation">}</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span></code></pre>
+<p>以及<code>r</code>数组的读入：</p>
+<pre class="line-numbers language-cpp" data-language="cpp"><code class="language-cpp"><span class="token keyword">for</span><span class="token punctuation">(</span><span class="token keyword">int</span> i<span class="token operator">=</span><span class="token number">0</span><span class="token punctuation">;</span>i<span class="token operator">&lt;</span>limit<span class="token punctuation">;</span>i<span class="token operator">++</span><span class="token punctuation">)</span>
+        r<span class="token punctuation">[</span>i<span class="token punctuation">]</span><span class="token operator">=</span> <span class="token punctuation">(</span> r<span class="token punctuation">[</span>i<span class="token operator">&gt;&gt;</span><span class="token number">1</span><span class="token punctuation">]</span><span class="token operator">&gt;&gt;</span><span class="token number">1</span> <span class="token punctuation">)</span><span class="token operator">|</span> <span class="token punctuation">(</span> <span class="token punctuation">(</span>i<span class="token operator">&amp;</span><span class="token number">1</span><span class="token punctuation">)</span><span class="token operator">&lt;&lt;</span><span class="token punctuation">(</span>l<span class="token operator">-</span><span class="token number">1</span><span class="token punctuation">)</span> <span class="token punctuation">)</span> <span class="token punctuation">;</span><span aria-hidden="true" class="line-numbers-rows"><span></span><span></span></span></code></pre>
+<p><del>当然，提高组不考，如果考到，基本上那个递归版本也够用了……</del></p>
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+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/oier-math-senior/","name":"信息竞赛 高级数学"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"信息竞赛 高级数学","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/oier-math-senior/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/oier-math-senior/","wordCount":0,"datePublished":"2024-02-14T11:02:49.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"算法,学术,数学","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/page/2/index.html b/page/2/index.html
new file mode 100644
index 0000000000..2028288e1a
--- /dev/null
+++ b/page/2/index.html
@@ -0,0 +1,4577 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/page/2/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/page/2/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
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+          hits_stats: "${hits} results found in ${time} ms",
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+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
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+}
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+}
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+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
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+}
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+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  
+  <section class="post-list">
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
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+        
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+      
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+          <a class='readmore' href='/common-algo-templates/' itemprop="url">
+            Read More
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+        
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
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+        <time itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">2023-10-26</time>
+        
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+      
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+          <a class='readmore' href='/gz-articles/' itemprop="url">
+            Read More
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+
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+        
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/journey-to-the-cspj2023/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/journey-to-the-cspj2023/">
+        <img itemprop="image" class='headimg' alt="CSP-J 2023 游记" src='https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/journey-to-the-cspj2023/"  itemprop="url">
+        CSP-J 2023 游记
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。
+       然...
+      
+    
+  </div>
+  
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+        
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+      
+        <div>
+          <a class='readmore' href='/journey-to-the-cspj2023/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
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+  
+</div>
+
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+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/biography-to-frc-delivery/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+        <time itemprop="dateCreated datePublished" datetime="2023-07-29T21:17:19+00:00">2023-07-29</time>
+        
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+      
+        <div>
+          <a class='readmore' href='/biography-to-frc-delivery/' itemprop="url">
+            Read More
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+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/picinfo/banners/index.html b/picinfo/banners/index.html
new file mode 100644
index 0000000000..e45096a56f
--- /dev/null
+++ b/picinfo/banners/index.html
@@ -0,0 +1,4224 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/picinfo/banners/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>网站Banner信息 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="网站Banner信息">
+<meta property="og:url" content="https://justpureh2o.github.io/picinfo/banners/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="1  图片地址：这里 崩坏·星穹铁道 流萤 游戏内截图 2  图片地址：这里 崩坏·星穹铁道 花火 游戏内截图 3  图片地址：这里 崩坏·星穹铁道 流萤&amp;星 游戏内截图 4  图片地址：这里 原神 芙宁娜 同人原创作品 5  图片地址：这里 原神 芙宁娜 同人原创作品 6  图片地址：这里 虚拟歌姬Vocaloid 初音未来·雪 同人原创作品 画师：Lunami Pixiv：雪·月 PI">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-13T13:25:57.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=' no_sidebar'>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-page" id="page" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/picinfo/banners/index.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        网站Banner信息
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-13T13:25:57+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 13, 2024</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <h3 id="section">1</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png">这里</a></p>
+<p>崩坏·星穹铁道 流萤 游戏内截图</p>
+<h3 id="section-1">2</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png">这里</a></p>
+<p>崩坏·星穹铁道 花火 游戏内截图</p>
+<h3 id="section-2">3</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e17c9f345e8d03177a23.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e17c9f345e8d03177a23.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e17c9f345e8d03177a23.png">这里</a></p>
+<p>崩坏·星穹铁道 流萤&amp;星 游戏内截图</p>
+<h3 id="section-3">4</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg">这里</a></p>
+<p>原神 芙宁娜 同人原创作品</p>
+<h3 id="section-4">5</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg">这里</a></p>
+<p>原神 芙宁娜 同人原创作品</p>
+<h3 id="section-5">6</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg">这里</a></p>
+<p>虚拟歌姬Vocaloid 初音未来·雪 同人原创作品</p>
+<p>画师：Lunami</p>
+<p>Pixiv：雪·月 PID：65261833</p>
+<h3 id="section-6">7</h3>
+<p><img src="https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg">这里</a></p>
+<p>虚拟歌姬Vocaloid 初音未来 同人原创作品</p>
+<p>画师：Bison倉鼠</p>
+<p>Pixiv：ネズミク PID：79008828</p>
+<h3 id="section-7">8</h3>
+<p><img src="https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png">这里</a></p>
+<p>崩坏·星穹铁道 符玄 同人原创作品</p>
+<h3 id="section-8">9</h3>
+<p><img src="https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.webp" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.webp" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.webp">这里</a></p>
+<p>崩坏·星穹铁道 停云&amp;驭空 同人原创作品</p>
+<h3 id="section-9">10</h3>
+<p><img src="https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png">这里</a></p>
+<p>画师：AutoINS</p>
+<p>Pixiv（从左至右）：もう、そんなに見つめないでよ；二ヤ一；見て見て~</p>
+<p>PID（从左至右）：112244258；113354064；112841548</p>
+<h3 id="section-10">11</h3>
+<p><img src="https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>图片地址：<a target="_blank" rel="noopener" href="https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png">这里</a></p>
+<p>画师：AutoINS</p>
+<p>Pixiv（从左至右）：✌️；二ヤ一；いい~疲れた~なぁ~</p>
+<p>PID（从左至右）：111148418；113354064；111548585</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+  
+    
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+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
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+        
+          
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/picinfo/banners/index.html&title=网站Banner信息 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
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+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/picinfo/banners/index.html&title=网站Banner信息 - JustPureH2O的博客&summary="
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+          
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+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/picinfo/banners/index.html&title=网站Banner信息 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
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+      
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+  </div>
+</div>
+
+
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+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
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+  
+  
+
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
+  
+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
+
+
+
+
+
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
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+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"网站Banner信息","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/picinfo/banners/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/picinfo/banners/index.html","wordCount":0,"datePublished":"2024-02-13T13:25:57.000Z","dateModified":"2024-02-16T08:47:56.990Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/picinfo/index.html b/picinfo/index.html
new file mode 100644
index 0000000000..3a3a4a5d0d
--- /dev/null
+++ b/picinfo/index.html
@@ -0,0 +1,4174 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/picinfo/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>网页图片信息 索引 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="网页图片信息 索引">
+<meta property="og:url" content="https://justpureh2o.github.io/picinfo/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="选择一个项以获取该网页上的图片信息： 网站Banner：这里">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-13T13:25:57.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=' no_sidebar'>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-page" id="page" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/picinfo/index.html">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        网页图片信息 索引
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-13T13:25:57+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 13, 2024</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p><font size="5">选择一个项以获取该网页上的图片信息：</font></p>
+<p>网站Banner：<a href="/banners/">这里</a></p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+
+        
+      
+        
+          
+  <div class="new-meta-item share -mob-share-list">
+  <div class="-mob-share-list share-body">
+    
+      
+        <a class="-mob-share-qq" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/picinfo/index.html&title=网页图片信息 索引 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qq.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/picinfo/index.html&title=网页图片信息 索引 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/qzone.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-weibo" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="http://service.weibo.com/share/share.php?url=https://justpureh2o.github.io/picinfo/index.html&title=网页图片信息 索引 - JustPureH2O的博客&summary="
+          
+          >
+          
+            <img src="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" class="lazyload" data-srcset="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/logo/128/weibo.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+        </a>
+      
+    
+      
+    
+      
+    
+  </div>
+</div>
+
+
+
+        
+      
+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
+  </div>
+
+
+  
+  
+
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
+  
+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
+
+
+
+
+
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"网页图片信息 索引","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/picinfo/index.html"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/picinfo/index.html","wordCount":0,"datePublished":"2024-02-13T13:25:57.000Z","dateModified":"2024-02-16T08:47:56.990Z","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/placeholder b/placeholder
deleted file mode 100644
index e69de29bb2..0000000000
diff --git a/qexo-deploy/index.html b/qexo-deploy/index.html
new file mode 100644
index 0000000000..b2a7f39783
--- /dev/null
+++ b/qexo-deploy/index.html
@@ -0,0 +1,4326 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/qexo-deploy/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Hexo云后台——Qexo搭建教程 - JustPureH2O的博客</title>
+  <meta name="keywords" content="博客,qexo,后端,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="Hexo云后台——Qexo搭建教程">
+<meta property="og:url" content="https://justpureh2o.github.io/qexo-deploy/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。 部署Qexo环境 官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。 首先点击这里进">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2024-02-15T01:52:57.521Z">
+<meta property="article:modified_time" content="2024-02-15T04:47:13.555Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="博客">
+<meta property="article:tag" content="qexo">
+<meta property="article:tag" content="后端">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
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+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
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+    right: 0;
+    bottom: 0;
+    left: 0;
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+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
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+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
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+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
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+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
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+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        Hexo云后台——Qexo搭建教程
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Feb 15, 2024</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
+      </div>
+    
+  </div>
+
+
+  <div id="layoutHelper-page-plugins"></div>
+  <div id="post-body" itemprop="articleBody">
+    <p>在开始之前，首先你需要有一个自己的域名（<code>github.io</code>不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。</p>
+<h3 id="部署qexo环境">部署Qexo环境</h3>
+<p>官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。</p>
+<p>首先点击<a target="_blank" rel="noopener" href="https://vercel.com/new/clone?repository-url=https://github.com/am-abudu/Qexo">这里</a>进入Vercel的仓库克隆界面。建议新建一个私有仓库进行Qexo仓库的克隆工作，第一次操作时你需要授权Vercel登录你的Github账号，在新跳出的浏览器窗口里按顺序授权即可。</p>
+<p>设置好仓库名称后，点击<code>Create</code>创建，下边会有一个<code>Deploy</code>界面。Vercel在创建和更改仓库时会自动进行一次部署，因此创建完毕后部署将会自动启动，并且这第一次部署是一定会失败的。因为Qexo所依赖的数据库还没有配置。因此点击网页左上角的三角形符号，或者点<a target="_blank" rel="noopener" href="https://vercel.com/dashboard">这里</a>快捷进入你的项目管理页面。不出意外的话，界面将是这个样子：</p>
+<p><img src="https://pic.imgdb.cn/item/65cd75059f345e8d0314b216.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd75059f345e8d0314b216.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（我这里是已经配置好了Qexo）</p>
+<p>然后我们开始配置PostgreSQL数据库，在<a target="_blank" rel="noopener" href="https://vercel.com/justpureh2os-projects/~/stores">Storage</a>界面可以申请，点击右上角<code>Create Database</code>并选择<code>Postgres</code>，Vercel的免费Postgre数据库仅限创建一个，如果你先前没有配置过——点击<code>Continue</code>进入数据库连接配置，在<code>Connect</code>界面选择地区为<code>Washington DC</code>或者<code>USA (east)</code>。创建完毕后，在<code>Storage</code>选项卡里选择进入你创建的数据库配置界面。在左侧边栏点击<code>Project</code>，接着点击<code>Connect Project</code>：</p>
+<p><img src="https://pic.imgdb.cn/item/65cd78019f345e8d031b8c58.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd78019f345e8d031b8c58.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>选择自己想要部署Qexo的仓库即可，接着回到项目管理界面，点击部署用的仓库。在<code>Settings</code>里面选择<code>Domains</code>域名选项，添加自己购买的域名。<strong>注意不要将域名指向到主页地址，如果你购买的主域名是abcd.xyz，此处建议绑定到它的子域名admin.abcd.xyz，而不能直接绑定到abcd.xyz！</strong>。</p>
+<p>当你添加了一个目标域名后，Vercel会自动对填入的域名进行DNS检查，若第一次配置，大概率会出现以下情况：</p>
+<p><img src="https://pic.imgdb.cn/item/65cd7e2f9f345e8d032acc60.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd7e2f9f345e8d032acc60.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>此时你需要打开自己域名的DNS解析设置，添加一个A解析：主机记录为<code>@</code>，记录值为<code>76.76.21.21</code>。补充一句，这个IP地址指向<code>vercel.app</code>的域名服务器，然而这个域名已经处于DNS污染的状态，无法访问。Vercel的临时备用方案是将IP改成<code>76.223.126.88</code>，事实证明到现在这个方案还是有效的。</p>
+<p>配置完部署域名后，转到顶端选项卡<code>Deployment</code>中点击<code>Redeploy</code>开始二次部署。一般等待一分钟左右无报错信息即可完成部署。</p>
+<p>如果你使用的是<code>MongoDB</code>，有可能在二次部署开始三到四分钟后接收到部署失败的信息。如果失败信息里出现了类似于<code>handshake failed</code>的握手失败信息时，建议放弃该方法（很可能是国内墙掉了MongoDB的连接接口导致部署时无法访问）并转而使用上边介绍的PostgreSQL法重新部署。</p>
+<p>查看其他部署具体步骤，见<a target="_blank" rel="noopener" href="https://www.oplog.cn/qexo/start/build.html">官方文档——部署</a>；若部署时遇到报错，可以进入<a target="_blank" rel="noopener" href="https://www.oplog.cn/qexo/start/questions.html">官方文档——常见问题</a>排错。</p>
+<h3 id="初始化qexo">初始化Qexo</h3>
+<h4 id="github配置">Github配置</h4>
+<p>部署完毕后，切换到绑定的域名，本例中我们转到<code>admin.abcd.xyz</code>。如果没有出现Qexo的初始化配置界面，试着转到<code>admin.abcd.xyz/init/</code>。如果你使用Hexo，并在Github上托管，在Github的配置界面，你会看到这几项：</p>
+<p><img src="https://pic.imgdb.cn/item/65cd80789f345e8d0330a703.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd80789f345e8d0330a703.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>（这是已经配置好的Qexo的设置界面，只是我将填写的内容删去了，但是项目是完全一致的）</p>
+<p>Github密钥这一项，你需要在<a target="_blank" rel="noopener" href="https://github.com/settings/tokens">Github设置</a>中申请。右上角选择<code>Generate New Token</code>，有两个选项，选择<code>classic</code>。接着完成身份验证。改变如下几项：</p>
+<p><img src="https://pic.imgdb.cn/item/65cd81e59f345e8d033410e3.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd81e59f345e8d033410e3.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p><code>Note</code>必填，作为这个token的使用目的；<code>Expiration</code>是生效期限，安全起见建议设置一个较短的期限，然后定时重置，重新配置Qexo设置，这里我选择的是永久有效；在下边的生效条目里，保证<code>repo</code>下的复选框全部勾选，建议同时勾选<code>workflow</code>，但官方不建议给出所有权限。这么做的目的是保证Qexo有足够权限访问Github
+API从而在线修改Github博客源码的内容。</p>
+<p>申请完毕后复制下来，出于安全，Github仅在token初次创建完毕后给出复制选项，所以尽快保存，并填入初始化界面的“Github
+密钥”文本框中。</p>
+<p>然后在Github里新建仓库，用于存放博客源码。接着在本地转到你的博客源码文件夹中（就是你执行<code>hexo clean &amp; hexo g &amp; hexo d</code>的文件夹），右键点击<code>git bash here</code>，依次键入以下的代码：</p>
+<ol type="1">
+<li>（“查看”里勾选“显示隐藏的文件”后，若源码目录下没有名为<code>.git</code>的文件夹，有则跳过该步骤）<code>git init</code></li>
+<li>复制仓库的网页地址，例：<code>https://github.com/&lt;username&gt;/&lt;repo&gt;</code></li>
+<li>输入<code>git remote add &lt;name&gt; https://github.com/&lt;username&gt;/&lt;repo&gt;.git</code>（这里的<code>&lt;name&gt;</code>任取，但保证先前未创建过，且不与已经存在的<code>&lt;name&gt;</code>重复，否则将可能不会上传当前的文件夹）</li>
+<li>输入<code>git pull &lt;name&gt; master</code>，<code>master</code>可更改，但保证和新建仓库的主branch同名</li>
+<li>输入<code>git add .</code>（注意有个点）</li>
+<li>输入<code>git commit -m "Commit内容"</code>（内容可更改，但需要用半角双引号包裹起来）</li>
+<li>输入<code>git push &lt;name&gt; master</code>（<code>master</code>保持前后一致即可）</li>
+</ol>
+<p>如果是第一次上传，按顺序执行以下七步操作；如果已经上传过了，想要提交一些个人的更改，执行第四到第七步即可。“Github
+仓库”这一项就填刚刚创建并上传的源码仓库，格式是<code>&lt;username&gt;/&lt;repo&gt;</code>（例：<code>mynameisabcd/BlogSourceCode</code>）。</p>
+<p>“项目分支”填源代码仓库的主要分支，一般是<code>master</code>；“博客路径”留空即可。</p>
+<p>若使用Gitlab，或者想要通过本地进行初始化，见<a target="_blank" rel="noopener" href="https://www.oplog.cn/qexo/configs/provider.html">官方文档</a>。</p>
+<h4 id="vercel配置">Vercel配置</h4>
+<p>“VERCEL_TOKEN”一项，需要在<a target="_blank" rel="noopener" href="https://vercel.com/account/tokens">这里</a>生成。</p>
+<p><img src="https://pic.imgdb.cn/item/65cd88989f345e8d0344c1cf.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65cd88989f345e8d0344c1cf.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw=="></p>
+<p>同样是填写token名称、生效范围（这里选择<code>xxx's projetcs</code>）和生效期限（建议期限短些）。完毕后点击<code>Create</code>生成密钥，也是需要尽快复制下来，粘贴到“VERCEL_TOKEN”里。</p>
+<p>“PROJECT_ID”则需要回到Vercel对应的项目的<code>Settings</code>里，在<code>General</code>选项卡中向下翻到<code>Project ID</code>并复制内容，粘贴到<code>PROJECT_ID</code>中就完成Vercel配置了。</p>
+<p>接下来你还需要设置管理员账号密码，设置完毕后就可以从<code>admin.abcd.xyz</code>快捷进入管理界面了。</p>
+<h3 id="其他设置">其他设置</h3>
+<h4 id="设置友链">设置友链</h4>
+<p>在博客源码目录里打开命令行，输入<code>hexo new page links</code>创建友链页面，打开<code>source/links/index.md</code>，将<code>front-matter</code>修改成如下格式：</p>
+<pre class="line-numbers language-ini" data-language="ini"><code class="language-ini">---
+layout: friends # 必须
+title: 我的朋友们 # 可选，这是友链页的标题
+---<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span></span></code></pre>
+<p>并且在<code>front-matter</code>后的正文部分直接粘贴：</p>
+<pre class="line-numbers language-markup" data-language="markup"><code class="language-markup"><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>div</span> <span class="token attr-name">id</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>qexo-friends<span class="token punctuation">"</span></span><span class="token punctuation">&gt;</span></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>div</span><span class="token punctuation">&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>link</span> <span class="token attr-name">rel</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>stylesheet<span class="token punctuation">"</span></span> <span class="token attr-name">href</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>https://unpkg.com/qexo-friends/friends.css<span class="token punctuation">"</span></span><span class="token punctuation">/&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>script</span> <span class="token attr-name">src</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>https://unpkg.com/qexo-static@1.6.0/hexo/friends.js<span class="token punctuation">"</span></span><span class="token punctuation">&gt;</span></span><span class="token script"></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>script</span><span class="token punctuation">&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>script</span><span class="token punctuation">&gt;</span></span><span class="token script"><span class="token language-javascript"><span class="token function">loadQexoFriends</span><span class="token punctuation">(</span><span class="token string">"qexo-friends"</span><span class="token punctuation">,</span> <span class="token string">"Qexo部署的网址"</span><span class="token punctuation">)</span></span></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>script</span><span class="token punctuation">&gt;</span></span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span></span></code></pre>
+<p>需要更改“Qexo部署的网址”为你方才Vercel设置里填写的域名。</p>
+<p>部分主题有专门的主题适配选项，详情见<a target="_blank" rel="noopener" href="https://www.oplog.cn/qexo/exts/flinks.html#%E4%B8%BB%E9%A2%98%E9%80%82%E9%85%8D">这里</a>。</p>
+<h4 id="设置说说">设置说说</h4>
+<p>在Hexo源代码根目录里新建页面<code>hexo new page talks</code>。</p>
+<p>在<code>source/talks/index.md</code>中正文部分加入：</p>
+<pre class="line-numbers language-markup" data-language="markup"><code class="language-markup"><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>div</span> <span class="token attr-name">id</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>qexot<span class="token punctuation">"</span></span><span class="token punctuation">&gt;</span></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>div</span><span class="token punctuation">&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>script</span> <span class="token attr-name">src</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>https://unpkg.com/qexo-static@1.6.0/hexo/talks.js<span class="token punctuation">"</span></span><span class="token punctuation">&gt;</span></span><span class="token script"></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>script</span><span class="token punctuation">&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>link</span> <span class="token attr-name">rel</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>stylesheet<span class="token punctuation">"</span></span> <span class="token attr-name">href</span><span class="token attr-value"><span class="token punctuation attr-equals">=</span><span class="token punctuation">"</span>https://unpkg.com/qexo-static@1.6.0/hexo/talks.css<span class="token punctuation">"</span></span><span class="token punctuation">&gt;</span></span>
+<span class="token tag"><span class="token tag"><span class="token punctuation">&lt;</span>script</span><span class="token punctuation">&gt;</span></span><span class="token script"><span class="token language-javascript"><span class="token function">showQexoTalks</span><span class="token punctuation">(</span><span class="token string">"qexot"</span><span class="token punctuation">,</span> <span class="token string">"Qexo部署的网址"</span><span class="token punctuation">,</span> <span class="token number">5</span><span class="token punctuation">)</span></span></span><span class="token tag"><span class="token tag"><span class="token punctuation">&lt;/</span>script</span><span class="token punctuation">&gt;</span></span>
+<span aria-hidden="true" class="line-numbers-rows"><span></span><span></span><span></span><span></span></span></code></pre>
+<p>同样是更改“Qexo部署的网址”，网址后的数字代表每页展示的说说个数，可根据需要自行调整。还可以<a href="plog.cn/qexo/exts/talks.html#可选-个性化">美化样式</a>。</p>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+  </div>
+  
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+    
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+    <p>本页文档最后更新于：Feb 15, 2024</p>
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+        
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+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%8D%9A%E5%AE%A2/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>博客</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/qexo/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>qexo</p></a></div> <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%90%8E%E7%AB%AF/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>后端</p></a></div>
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+          
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+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
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+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世...</p>
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+      必应搜索
+    </span>
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+
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+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/qexo-deploy/","name":"Hexo云后台——Qexo搭建教程"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"Hexo云后台——Qexo搭建教程","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/qexo-deploy/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/qexo-deploy/","wordCount":0,"datePublished":"2024-02-15T01:52:57.521Z","dateModified":"2024-02-15T04:47:13.555Z","keywords":"博客,qexo,后端","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/CSP-J/index.html b/tags/CSP-J/index.html
new file mode 100644
index 0000000000..27ff742834
--- /dev/null
+++ b/tags/CSP-J/index.html
@@ -0,0 +1,4229 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/csp-j/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: CSP-J - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/CSP-J/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/journey-to-the-cspj2023/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/journey-to-the-cspj2023/">
+        <img itemprop="image" class='headimg' alt="CSP-J 2023 游记" src='https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/journey-to-the-cspj2023/"  itemprop="url">
+        CSP-J 2023 游记
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。
+       然...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-24T16:21:36+00:00">2023-10-24</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/journey-to-the-cspj2023/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/CSP-J/","name":"CSP-J"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/DC-Doujin/index.html b/tags/DC-Doujin/index.html
new file mode 100644
index 0000000000..30a20c489e
--- /dev/null
+++ b/tags/DC-Doujin/index.html
@@ -0,0 +1,4297 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/dc-doujin/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: DC Doujin - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/DC-Doujin/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
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+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
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+  --color-h5: #555;
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+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
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+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
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+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
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+html >::-webkit-scrollbar-track-piece {
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+}
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+}
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+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
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+}
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+}
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+}
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+}
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+}
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+  font: inherit;
+  margin: 0;
+}
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+}
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+}
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+}
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+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
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+}
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+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
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+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
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+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
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+    opacity: 1;
+    -webkit-opacity: 1;
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+}
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+  0% {
+    opacity: 0;
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+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
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+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
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+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
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+  }
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+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
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+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
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+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
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+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
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+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
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+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
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+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
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+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/DC Doujin/","name":"DC Doujin"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/DCD\345\220\214\344\272\272/index.html" "b/tags/DCD\345\220\214\344\272\272/index.html"
new file mode 100644
index 0000000000..3bd8d7f59c
--- /dev/null
+++ "b/tags/DCD\345\220\214\344\272\272/index.html"
@@ -0,0 +1,4297 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/dcd同人/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: DCD同人 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/DCD%E5%90%8C%E4%BA%BA/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/DCD同人/","name":"DCD同人"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/OI/index.html b/tags/OI/index.html
new file mode 100644
index 0000000000..ff36a9d5be
--- /dev/null
+++ b/tags/OI/index.html
@@ -0,0 +1,4298 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/oi/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: OI - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/OI/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/number-theory-junior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/number-theory-junior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-28T14:11:51+00:00">2023-10-28</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/common-algo-templates/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/OI/","name":"OI"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/index.html b/tags/index.html
new file mode 100644
index 0000000000..f075af59a6
--- /dev/null
+++ b/tags/index.html
@@ -0,0 +1,4046 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>所有标签 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  <meta property="og:type" content="website">
+<meta property="og:title" content="所有标签">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-10-26T16:56:08.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.990Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      <div class='post-wrapper'>
+        <article id="tag" class="post article white-box reveal shadow floatable blur">
+          <h2>所有标签</h2>
+          <div class="all-tags">
+            
+            <ul class="tag-list" itemprop="keywords"><li class="tag-list-item"><a class="tag-list-link" href="/tags/CSP-J/" rel="tag">CSP-J</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/DC-Doujin/" rel="tag">DC Doujin</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/DCD%E5%90%8C%E4%BA%BA/" rel="tag">DCD同人</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/OI/" rel="tag">OI</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/latex/" rel="tag">latex</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/qexo/" rel="tag">qexo</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E4%BC%A0%E8%AE%B0/" rel="tag">传记</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%88%9D%E4%B8%AD%E5%90%8C%E5%AD%A6/" rel="tag">初中同学</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%8D%9A%E5%AE%A2/" rel="tag">博客</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%8E%9F%E7%A5%9E/" rel="tag">原神</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%90%8E%E7%AB%AF/" rel="tag">后端</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%9B%BD%E7%A5%AF/" rel="tag">国祯</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E5%AD%A6%E6%9C%AF/" rel="tag">学术</a><span class="tag-list-count">8</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%90%AC%E8%BF%90/" rel="tag">搬运</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%95%99%E7%A8%8B/" rel="tag">教程</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%95%B0%E5%AD%A6/" rel="tag">数学</a><span class="tag-list-count">4</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%95%B0%E8%AE%BA/" rel="tag">数论</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%95%B4%E6%B4%BB/" rel="tag">整活</a><span class="tag-list-count">4</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%96%87%E7%AB%A0/" rel="tag">文章</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%96%B0%E9%97%BB/" rel="tag">新闻</a><span class="tag-list-count">2</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E6%9E%AB%E4%B8%B9/" rel="tag">枫丹</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E7%94%9F%E6%B4%BB/" rel="tag">生活</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E7%A0%B4%E8%A7%A3/" rel="tag">破解</a><span class="tag-list-count">1</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E7%AE%97%E6%B3%95/" rel="tag">算法</a><span class="tag-list-count">4</span></li><li class="tag-list-item"><a class="tag-list-link" href="/tags/%E8%B5%9B%E5%90%8E%E6%80%BB%E7%BB%93/" rel="tag">赛后总结</a><span class="tag-list-count">1</span></li></ul>
+          </div>
+          <br>
+          
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
+        </article>
+      </div>
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+    
+    
+      
+    
+  
+
+
+<div class="widget-sticky">
+
+  
+  
+
+
+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      
+  </div>
+</section>
+
+  
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
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+
+    let rObs = new ResizeObserver((entries, o) => {
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+
+      if (articles.length) {
+        articles.forEach((el) => {
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+
+        // Workaround for Chrome bug, part 2.
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+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
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+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
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+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
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+        document.querySelector("#safearea").style["display"] = "block";
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+  }
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+
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/latex/index.html b/tags/latex/index.html
new file mode 100644
index 0000000000..1ecd41b2a5
--- /dev/null
+++ b/tags/latex/index.html
@@ -0,0 +1,4242 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/latex/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
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+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
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+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/latex/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
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+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
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+  margin: 0;
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+}
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+}
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+}
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+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
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+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
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+}
+a {
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+  transition: all 0.28s ease;
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+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
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+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
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+    backdrop-filter: saturate(200%) blur(20px);
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+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
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+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
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+}
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+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
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+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
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+    filter: blur(12px);
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+    -webkit-opacity: 1;
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+  }
+}
+@-webkit-keyframes fadeIn {
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+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
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+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
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+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
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+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
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+}
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+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
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+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
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+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/latex-symbols/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/latex-symbols/"  itemprop="url">
+        Latex常用符号大全
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt[N]{ABC}
+乘方/N次幂：
+A^N
+下标： A_N
+分数：
+\frac{A}{B}
+等于号：，键盘上有
+约等号：
+\approx 加粗 
+\thickapprox
+不等号：
+\neq
+恒等号/定...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:23:35+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/latex-symbols/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/latex/","name":"latex"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/tags/qexo/index.html b/tags/qexo/index.html
new file mode 100644
index 0000000000..0e0208bb5f
--- /dev/null
+++ b/tags/qexo/index.html
@@ -0,0 +1,4226 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/qexo/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: qexo - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/qexo/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/qexo/","name":"qexo"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\344\274\240\350\256\260/index.html" "b/tags/\344\274\240\350\256\260/index.html"
new file mode 100644
index 0000000000..d0420067ac
--- /dev/null
+++ "b/tags/\344\274\240\350\256\260/index.html"
@@ -0,0 +1,4225 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/传记/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 传记 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E4%BC%A0%E8%AE%B0/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
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+}
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+}
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+}
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+}
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+}
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+  text-shadow: none;
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+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
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+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
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+		<div class="nav-main">
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+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
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+
+			<div class='menu navigation'>
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+          
+          
+          
+            
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
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+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
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+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
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+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
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+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
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+              </li>
+            
+          
+            
+          </ul>
+        </li>
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+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/biography-to-frc-delivery/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-07-29T21:17:19+00:00">2023-07-29</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/biography-to-frc-delivery/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
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+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
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+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
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+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
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+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
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+
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+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
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+        autoplay='false'
+        volume='0.4'
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+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/传记/","name":"传记"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\210\235\344\270\255\345\220\214\345\255\246/index.html" "b/tags/\345\210\235\344\270\255\345\220\214\345\255\246/index.html"
new file mode 100644
index 0000000000..7d9c75c297
--- /dev/null
+++ "b/tags/\345\210\235\344\270\255\345\220\214\345\255\246/index.html"
@@ -0,0 +1,4225 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/初中同学/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 初中同学 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%88%9D%E4%B8%AD%E5%90%8C%E5%AD%A6/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
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+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+        <time itemprop="dateCreated datePublished" datetime="2023-07-29T21:17:19+00:00">2023-07-29</time>
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+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
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+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/初中同学/","name":"初中同学"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\215\232\345\256\242/index.html" "b/tags/\345\215\232\345\256\242/index.html"
new file mode 100644
index 0000000000..2b20bf94f1
--- /dev/null
+++ "b/tags/\345\215\232\345\256\242/index.html"
@@ -0,0 +1,4226 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/博客/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 博客 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%8D%9A%E5%AE%A2/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/博客/","name":"博客"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\216\237\347\245\236/index.html" "b/tags/\345\216\237\347\245\236/index.html"
new file mode 100644
index 0000000000..8569d85e95
--- /dev/null
+++ "b/tags/\345\216\237\347\245\236/index.html"
@@ -0,0 +1,4295 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/原神/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 原神 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%8E%9F%E7%A5%9E/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
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+                <a class="menuitem flat-box faa-parent animated-hover"
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+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
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+        
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+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/thanks/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+      <a class='headimg-a' href="/thanks/">
+        <img itemprop="image" class='headimg' alt="一命已出，前来还愿" src='https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/thanks/"  itemprop="url">
+        一命已出，前来还愿
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+2023.11.11 21:10
+
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
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+            <meta itemprop="name" content="JustPureH2O">
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-12T09:42:41+00:00">2023-11-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/thanks/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
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+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
+  </div>
+  
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+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
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+        
+      
+    
+  </section>
+  
+    
+  
+
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+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
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+<section class="widget grid desktop mobile">
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+    <div class="grid navigation fixed">
+      
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+          
+          本站源码
+        </a>
+      
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+<section class="widget blogger desktop mobile ">
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+      
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+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
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+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
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+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
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+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
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+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
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+
+<!-- required -->
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+<!-- internal -->
+
+<script src="/js/app.js"></script>
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+  <ul class="list-v rightmenu" id="rightmenu-content">
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+  <li class='navigation menuNavigation-Content'>
+
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+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
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+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
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+  </li>
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+    <hr class="menuLoad-Content" >
+
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+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
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+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/原神/","name":"原神"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\220\216\347\253\257/index.html" "b/tags/\345\220\216\347\253\257/index.html"
new file mode 100644
index 0000000000..0e40dfc931
--- /dev/null
+++ "b/tags/\345\220\216\347\253\257/index.html"
@@ -0,0 +1,4226 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/后端/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 后端 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%90%8E%E7%AB%AF/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/qexo-deploy/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/qexo-deploy/">
+        <img itemprop="image" class='headimg' alt="Hexo云后台——Qexo搭建教程" src='https://pic.imgdb.cn/item/65cd8ca29f345e8d034f412f.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/qexo-deploy/"  itemprop="url">
+        Hexo云后台——Qexo搭建教程
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        在开始之前，首先你需要有一个自己的域名（github.io不算在内，你必须能够亲自更改DNS解析设置），并在博客仓库设置的Pages选项卡中绑定自己的域名。
+部署Qexo环境
+官方提供了四种方式来部署Qexo环境，其中一种允许你在本地进行部署，另外三种各自使用了不同网站提供的免费数据库服务。综合考虑操作便捷性和成功率，这里选用Vercel提供的免费PostgreSQL服务进行部署。
+首先点击...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-15T01:52:57+00:00">2024-02-15</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/qexo-deploy/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/后端/","name":"后端"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\233\275\347\245\257/index.html" "b/tags/\345\233\275\347\245\257/index.html"
new file mode 100644
index 0000000000..49fa6806c5
--- /dev/null
+++ "b/tags/\345\233\275\347\245\257/index.html"
@@ -0,0 +1,4228 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/国祯/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 国祯 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%9B%BD%E7%A5%AF/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">2023-10-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/gz-articles/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/国祯/","name":"国祯"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\345\255\246\346\234\257/index.html" "b/tags/\345\255\246\346\234\257/index.html"
new file mode 100644
index 0000000000..47967b53b8
--- /dev/null
+++ "b/tags/\345\255\246\346\234\257/index.html"
@@ -0,0 +1,4725 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/学术/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 学术 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E5%AD%A6%E6%9C%AF/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+      <ul class='switcher nav-list-h m-phone'>
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+		<div class="nav-main">
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+                  
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+                    active-action="action-dcdoujin"
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+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
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+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
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+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
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+                  </ul>
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+              </li>
+            
+          
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+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
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+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
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+                  
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+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
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+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
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+                  
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+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
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+            
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+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
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+            
+          
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+            
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+            
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+                    
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+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
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+            
+          
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+                      
+            
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+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
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+            
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+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
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+            
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+                    
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+                
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+            
+          
+            
+          </ul>
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+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
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+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/magic-show-with-josephus/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/magic-show-with-josephus/">
+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
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+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-10T16:23:45+00:00">2024-02-10</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/magic-show-with-josephus/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
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+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
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+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/number-theory-junior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
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+    <span hidden>
+      <meta itemprop="image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
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+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/number-theory-junior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
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+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/common-algo-templates/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
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+        <time itemprop="dateCreated datePublished" datetime="2023-10-28T14:11:51+00:00">2023-10-28</time>
+        
+      </div>
+      
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+          <a class='readmore' href='/common-algo-templates/' itemprop="url">
+            Read More
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+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
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+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/学术/","name":"学术"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\220\254\350\277\220/index.html" "b/tags/\346\220\254\350\277\220/index.html"
new file mode 100644
index 0000000000..526972828c
--- /dev/null
+++ "b/tags/\346\220\254\350\277\220/index.html"
@@ -0,0 +1,4225 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/搬运/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 搬运 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%90%AC%E8%BF%90/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
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+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/搬运/","name":"搬运"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\225\231\347\250\213/index.html" "b/tags/\346\225\231\347\250\213/index.html"
new file mode 100644
index 0000000000..e546f3b6c9
--- /dev/null
+++ "b/tags/\346\225\231\347\250\213/index.html"
@@ -0,0 +1,4300 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/教程/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 教程 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%95%99%E7%A8%8B/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+  <!-- Custom Files headEnd begin-->
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+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
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+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
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+		<div class="nav-main">
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
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+                  >
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+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
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+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
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+                </a>
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+            
+          
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+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
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+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
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+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
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+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
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+            
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+            
+          
+                    
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+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
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+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
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+  
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+  
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+  
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+      
+<section class="widget grid desktop mobile">
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+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
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+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
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+        <a class="flat-box" href="/archives/"
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+          
+          active-action="action-archives">
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+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
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+        <a class="flat-box" href="/friends/"
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+          
+            target="_blank"
+          
+          active-action="action-friends">
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+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
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+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/教程/","name":"教程"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\225\260\345\255\246/index.html" "b/tags/\346\225\260\345\255\246/index.html"
new file mode 100644
index 0000000000..68f0c48a59
--- /dev/null
+++ "b/tags/\346\225\260\345\255\246/index.html"
@@ -0,0 +1,4447 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/数学/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 数学 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%95%B0%E5%AD%A6/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
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+    <meta itemprop="name" content="JustPureH2O的博客">
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+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
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+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
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+      
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+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
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+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
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+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
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+  
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+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/magic-show-with-josephus/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
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+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/magic-show-with-josephus/">
+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
+      
+    
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+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-10T16:23:45+00:00">2024-02-10</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/magic-show-with-josephus/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
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+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
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+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
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+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/数学/","name":"数学"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\225\260\350\256\272/index.html" "b/tags/\346\225\260\350\256\272/index.html"
new file mode 100644
index 0000000000..4282f93af6
--- /dev/null
+++ "b/tags/\346\225\260\350\256\272/index.html"
@@ -0,0 +1,4223 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/数论/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 数论 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%95%B0%E8%AE%BA/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
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+      <a href="/number-theory-junior/"  itemprop="url">
+        信竞初等数论导论
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+        
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那么有逼格，就像初等数学之于高数，数论的所有内容均筑基于此。其中欧几里得证明的算数基本定理（一切合数都可被分解为有限个质数的乘积）在质数筛、GCD（以及LCA)计算、无理数证明等问题上均有用武之地。可以...
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+        <time itemprop="dateCreated datePublished" datetime="2023-11-26T09:37:52+00:00">2023-11-26</time>
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+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\225\264\346\264\273/index.html" "b/tags/\346\225\264\346\264\273/index.html"
new file mode 100644
index 0000000000..a9b7207e55
--- /dev/null
+++ "b/tags/\346\225\264\346\264\273/index.html"
@@ -0,0 +1,4441 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/整活/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 整活 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%95%B4%E6%B4%BB/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
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+}
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+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
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+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
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+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/magic-show-with-josephus/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/magic-show-with-josephus/">
+        <img itemprop="image" class='headimg' alt="约瑟夫环——春晚魔术表演原理解析" src='https://pica.zhimg.com/80/v2-bb68dd52b427d97ca4387c2ea0f9e6db_1440w.webp?source=2c26e567'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/magic-show-with-josephus/"  itemprop="url">
+        约瑟夫环——春晚魔术表演原理解析
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+（操作没成功の尴尬，图片来自知乎）
+前言
+这篇文章从数学方面推导刘谦2024年央视春晚上表演的第二个魔术的秘密、分析尼格买提错误之处，并在已知信息的加持下尝试推测尼格买提手上所剩的两张半面扑克牌的牌型。有一说一撒贝宁是真的会测假
+对应魔术节目：《守岁共此时》的回看请戳这里，在一小时十分整处。
+魔术步骤
+
+四张牌面向下，并打乱。
+对折四张牌，并沿折痕撕开，得到两批半牌，每批四个共八个半牌
+（...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-10T16:23:45+00:00">2024-02-10</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/magic-show-with-josephus/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
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+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/整活/","name":"整活"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\226\207\347\253\240/index.html" "b/tags/\346\226\207\347\253\240/index.html"
new file mode 100644
index 0000000000..920c7ccca9
--- /dev/null
+++ "b/tags/\346\226\207\347\253\240/index.html"
@@ -0,0 +1,4228 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/文章/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 文章 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%96%87%E7%AB%A0/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/gz-articles/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/gz-articles/">
+        <img itemprop="image" class='headimg' alt="国祯文集" src='https://pic.imgdb.cn/item/654372f8c458853aef913bd5.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/gz-articles/"  itemprop="url">
+        国祯文集
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        曾茂华到底有多六
+——By 国祯
+曾茂华是中国当代著名的科学家和教育家，他以“慈父”、“良师”、“学者”等称号闻名于世。
+1：曾茂华的蠢行为
+曾茂华的蠢行为:
+他在大学期间参加了一个乐队，并担任主唱。然而，不幸的是，由于自己的疏忽，他犯下了一件愚蠢的事情——用刀砍掉了对方的手指头。这件事让他成了学校里的头号人物之一。从那以后，他再也不敢做任何愚蠢的事情了。这是因为他害怕自己会被开除出乐队或者...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-26T17:29:45+00:00">2023-10-26</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/gz-articles/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/文章/","name":"文章"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\226\260\351\227\273/index.html" "b/tags/\346\226\260\351\227\273/index.html"
new file mode 100644
index 0000000000..528951c672
--- /dev/null
+++ "b/tags/\346\226\260\351\227\273/index.html"
@@ -0,0 +1,4297 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/新闻/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 新闻 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%96%B0%E9%97%BB/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcdep1-release/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcdep1-release/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 一触即发正式发布" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcdep1-release/"  itemprop="url">
+        DC Doujin 2023 EP1 一触即发正式发布
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-03T13:02:42+00:00">2023-12-03</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcdep1-release/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/dcd2023ep1-trailer/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/dcd2023ep1-trailer/">
+        <img itemprop="image" class='headimg' alt="DC Doujin 2023 EP1 先行预告" src='https://pic.imgdb.cn/item/65471de4c458853aef1a9ab7.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/dcd2023ep1-trailer/"  itemprop="url">
+        DC Doujin 2023 EP1 先行预告
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        DC Doujin
+2023，点击访问。
+DC Doujin将在11月带来他的第一部视频作品“一触即发 A Cusp Before It
+Rings”。这个视频，对日常学校干饭的情景进行真实再现。其中由木稿比你铁饰演的受伤学生受到热烈关注，其原型是初中部的一位学生，我们将其镜头化，力求最真实地表现出其强烈的反差感。
+禁止用于商业用途，转载请注明出处 DC
+Doujin。
+Copyright ...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T12:32:52+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/dcd2023ep1-trailer/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/新闻/","name":"新闻"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\346\236\253\344\270\271/index.html" "b/tags/\346\236\253\344\270\271/index.html"
new file mode 100644
index 0000000000..849d4df275
--- /dev/null
+++ "b/tags/\346\236\253\344\270\271/index.html"
@@ -0,0 +1,4224 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/枫丹/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 枫丹 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E6%9E%AB%E4%B8%B9/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
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+  <!-- import head_end end -->
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+}
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+  <body itemscope itemtype="http://schema.org/WebPage">
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+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
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+
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+                href="/archives/" title="归档"
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+                  
+                    active-action="action-archives"
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+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
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+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
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+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
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+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
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+              <li>
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+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
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+              </li>
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+          
+                    
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+          
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+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
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+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
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+              
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+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
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+                
+              </li>
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+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
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+          
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+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
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+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
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+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
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+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
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+          
+                    
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+            
+          
+            
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+      
+      <!-- Custom Files header end -->
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+</header>
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+    <div id="l_body">
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+<div id="l_main" class=''>
+  
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+      
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+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/fontainish-research/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/fontainish-research/">
+        <img itemprop="image" class='headimg' alt="《原神》枫丹语言考究" src='https://pic.imgdb.cn/item/654706cac458853aefcc2705.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/fontainish-research/"  itemprop="url">
+        《原神》枫丹语言考究
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        起因
+这天月假，当我正为即将到来的水神池子疯狂做任务屯原石时，在列表里看到了一个悬赏整整30原石的世界任务。本着不放过任何一个给原石的任务的宗旨，我来到了秋分山西侧，白淞镇东北方向的海边房屋处。只见一位男子全身掩埋在海沙之下、动弹不得，面前摆放着一只散发香味的甜甜花酿鸡。我看他精神失常，满嘴都是“新型美容方式”的胡话又哭又闹，呜呜呜呜，好可怜呀。于是我决定帮他一把……找出了幕后黑手，此时他举...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-11-05T10:59:02+00:00">2023-11-05</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/fontainish-research/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
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+
+  
+    
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+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
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+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
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+
+    
+  
+
+
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+
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+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/枫丹/","name":"枫丹"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\347\224\237\346\264\273/index.html" "b/tags/\347\224\237\346\264\273/index.html"
new file mode 100644
index 0000000000..beaa00f4e4
--- /dev/null
+++ "b/tags/\347\224\237\346\264\273/index.html"
@@ -0,0 +1,4225 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/生活/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 生活 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E7%94%9F%E6%B4%BB/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
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+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/biography-to-frc-delivery/"  itemprop="url">
+        人物传记·FRC（搬运）
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        本文转载自：【F444
+の 光荣历史•其二】人物传记·FRC
+作者：Lucas2011
+一、简介
+曾就读于东辰「教学8班·行政11班」与我同班（两个都是哦），是我初中阶段最好的朋友。现就读于七林9班，在高中数学竞赛的道路上越走越远。喜好有Minecraft、原和一些神奇的卡牌游戏。有批判性思维，不从众，但是对自己的观点有强烈的自信，不拿出证据证明他是错的的话他绝对不会善罢甘休（但是在学校里证...
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+        <time itemprop="dateCreated datePublished" datetime="2023-07-29T21:17:19+00:00">2023-07-29</time>
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+        Use
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+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
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+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
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+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
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+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
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+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\347\240\264\350\247\243/index.html" "b/tags/\347\240\264\350\247\243/index.html"
new file mode 100644
index 0000000000..e4f51124f7
--- /dev/null
+++ "b/tags/\347\240\264\350\247\243/index.html"
@@ -0,0 +1,4227 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/破解/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 破解 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E7%A0%B4%E8%A7%A3/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/new-year-crack/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/new-year-crack/">
+        <img itemprop="image" class='headimg' alt="2023年度总结——机房管理软件的破解经验" src='https://pic.imgdb.cn/item/658f966dc458853aef21ec93.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/new-year-crack/"  itemprop="url">
+        2023年度总结——机房管理软件的破解经验
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+文中提到的核心程序代码及食用方法在文章末尾处，或者访问我的云剪贴板来复制代码
+极域——世界上最弱小最单纯的机房软件
+注意，极域由C/C++语言开发。对于极域的反编译工作可以基本认定为徒劳且耗费大量时间的。
+开始的开始，我的脱控方式还仅限于最原始的taskkill和ntsd。这种做法不仅有时会失效，而且一旦老师发现你的机子的监控屏幕是纯黑一片、且无法控制，他就会气急败坏地冲向你对你进行一顿输...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-12-31T20:22:54+00:00">2023-12-31</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/new-year-crack/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/破解/","name":"破解"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\347\256\227\346\263\225/index.html" "b/tags/\347\256\227\346\263\225/index.html"
new file mode 100644
index 0000000000..ba7a1890c7
--- /dev/null
+++ "b/tags/\347\256\227\346\263\225/index.html"
@@ -0,0 +1,4447 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/算法/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 算法 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E7%AE%97%E6%B3%95/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/oier-math-senior/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
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+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
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+    </span>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/oier-math-senior/"  itemprop="url">
+        信息竞赛 高级数学
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+诗曰：
+“高数第一杀手，考试一考就寄。复数知识一用，算成正一。朴素演算善后，死磕公式何必？考场信心十足，全错当场暴毙。”
+
+前置知识：复数、位运算
+Part1. 快速傅里叶变换
+Div1. 世界上最优雅的算法
+FFT起源
+FFT的前身是DFT，可以简单看作是一堆OIer争先恐后对DFT算法进行优化的结果。美苏冷战期间，双方都对自己的核实力有所隐瞒，就等着某一天用自己的核导弹打对方个措手不及...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
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+            <meta itemprop="name" content="JustPureH2O">
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-14T11:02:49+00:00">2024-02-14</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/oier-math-senior/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial-ii/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial-ii/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 二" src='https://pic.imgdb.cn/item/65c9dd1e9f345e8d03090f3b.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial-ii/"  itemprop="url">
+        线性代数 简明教程 二
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        测试自动部署
+
+
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
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+            <meta itemprop="name" content="JustPureH2O">
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-02-12T08:56:44+00:00">2024-02-12</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial-ii/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/linear-algebra-explicit-tutorial/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/linear-algebra-explicit-tutorial/">
+        <img itemprop="image" class='headimg' alt="线性代数 简明教程 一" src='https://pic.imgdb.cn/item/65acd0a3871b83018acf5225.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/linear-algebra-explicit-tutorial/"  itemprop="url">
+        线性代数 简明教程 一
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        
+线性代数 简明教程
+前言
+
+    
+        前言正文
+    
+    
+	
+        我个人认为我自己与线性代数的渊源是极深的。差不多整一年之前，初三上册的寒假，我在启动某二字二次元风格开放世界游戏时偶然做到了一个世界解谜。与平常无脑过的难度不同，这次的解谜可谓是充满血和汗水的教训——看攻略前千万要搞清楚站位和朝向……于是一步错步步错，耗费了整整半个小时才碰巧还原到原始的...
+      
+    
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+  
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+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2024-01-21T12:45:07+00:00">2024-01-21</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/linear-algebra-explicit-tutorial/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
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+  
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+
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+        
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+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
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+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/common-algo-templates/">
+        <img itemprop="image" class='headimg' alt="常用算法模板" src='https://pic.imgdb.cn/item/6546feebc458853aefb12a03.png'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/common-algo-templates/"  itemprop="url">
+        常用算法模板
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        1. Trie树（字典树）
+#include &lt;bits/stdc++.h&gt;
+#define N 10010
+using namespace std;
+
+int son[N][70], idx = 0, cnt[N];
+
+int map(char c) {
+	// 字符映射到对应数字
+	if (c &gt;= '0' &amp;&amp; c &lt;= '9') return ...
+      
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+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
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+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/算法/","name":"算法"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git "a/tags/\350\265\233\345\220\216\346\200\273\347\273\223/index.html" "b/tags/\350\265\233\345\220\216\346\200\273\347\273\223/index.html"
new file mode 100644
index 0000000000..cf98abe2cf
--- /dev/null
+++ "b/tags/\350\265\233\345\220\216\346\200\273\347\273\223/index.html"
@@ -0,0 +1,4229 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  <meta name="robots" content="noindex,follow">
+  <link rel="canonical" href="https://justpureh2o.github.io/tags/赛后总结/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>Tag: 赛后总结 - JustPureH2O的博客</title>
+  <meta name="keywords" content="JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="website">
+<meta property="og:title" content="JustPureH2O的博客">
+<meta property="og:url" content="https://justpureh2o.github.io/tags/%E8%B5%9B%E5%90%8E%E6%80%BB%E7%BB%93/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="JustPureH2O的小窝">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O">
+<meta property="article:tag" content="JustPureH2O&#39;s Blog">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=false;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
+      rightmenus: {"enable":true,"order":["plugins.navigation","hr","plugins.inputBox","plugins.seletctText","plugins.elementCheck","plugins.elementImage","hr","menus.prevNext","hr","menus.links","hr","menus.darkMode","hr","plugins.articlePage","hr","music"],"options":{"iconPrefix":"fa-solid PETERRIVE","articleShowLink":true,"musicAlwaysShow":true},"plugins":{"navigation":[{"id":"left","name":"转到上一页","icon":"fa-solid fa-arrow-left PETERRIVE","event":"history.back()","group":"navigation"},{"id":"right","name":"转到下一页","icon":"fa-solid fa-arrow-right PETERRIVE","event":"history.forward()","group":"navigation"},{"id":"redo","name":"刷新当前页面","icon":"fa-solid fa-redo-alt PETERRIVE","event":"window.location.reload()","group":"navigation"},{"id":"home","name":"回到首页","icon":"fa-solid fa-home PETERRIVE","link":"/","group":"navigation"},{"id":"up","name":"回到顶部","icon":"fa-solid fa-arrow-up PETERRIVE","event":"VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)","group":"navigation"}],"inputBox":[{"id":"copyPaste","name":"粘贴文本","icon":"fa-solid PETERRIVE fa-paste","event":"copyPaste","group":"inputBox"},{"id":"copyAll","name":"全选文本","icon":"fa-solid PETERRIVE fa-object-ungroup","event":"copyAll","group":"inputBox"},{"id":"copyCut","name":"剪切文本","icon":"fa-solid PETERRIVE fa-cut","event":"copyCut","group":"inputBox"}],"seletctText":[{"id":"copyText","name":"复制文本","icon":"fa-solid PETERRIVE fa-copy","event":"copyText","group":"seletctText"},{"id":"searchWord","name":"站内搜索","icon":"fa-solid PETERRIVE fa-search","event":"OpenSearch(__text__)","group":"seletctText"},{"id":"bingSearch","name":"必应搜索","icon":"fa-solid PETERRIVE fa-search","event":"window.open(`https://cn.bing.com/search?q=${__text__}`)","group":"seletctText"}],"elementCheck":[{"id":"openTab","name":"新标签页打开","icon":"fa-solid PETERRIVE fa-external-link-square-alt","event":"window.open(__link__)","group":"elementCheck"},{"id":"copyLink","name":"复制链接地址","icon":"fa-solid PETERRIVE fa-link","event":"copyLink","group":"elementCheck"}],"elementImage":[{"id":"copyImg","name":"复制图片","icon":"fa-solid PETERRIVE fa-image","event":"copyImg","group":"elementImage"},{"id":"googleImg","name":"谷歌识图","icon":"fa-solid PETERRIVE fa-images","event":"window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)","group":"elementImage"}],"articlePage":[{"id":"printMode","name":"打印页面","icon":"fa-solid fa-print TURQUOISE","event":"printMode","group":"articlePage"},{"id":"readMode","name":"阅读模式","icon":"fa-solid fa-book-open EMERALD","event":"readMode","group":"articlePage"}]},"menus":{"link":[{"id":"help","name":"常见问题","icon":"fa-solid fa-question","link":"https://volantis.js.org/faqs/","group":"link"},{"id":"examples","name":"示例博客","icon":"fa-solid fa-rss","link":"https://volantis.js.org/examples/","group":"link"},{"id":"contributors","name":"加入社区","icon":"fa-solid fa-fan","link":"https://volantis.js.org/contributors/","group":"link"},"hr",{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/volantis-docs/","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"darkMode":[{"id":"darkMode","name":"暗黑模式","icon":"fa-solid fa-moon WISTERIA","event":"volantis.dark.toggle()","group":"darkMode"}],"links":[{"id":"source_docs","name":"本站源码","icon":"fa-solid fa-code CONCRETE","link":"https://github.com/JustPureH2O/justpureh2o.github.io","group":"link"},{"id":"source_theme","name":"主题源码","icon":"fa-solid fa-code-branch CONCRETE","link":"https://github.com/volantis-x/hexo-theme-volantis/","group":"link"}],"prevNext":[{"id":"prev","name":"查看上一篇","icon":"fa-solid fa-angles-left PETERRIVE","event":"volantis.rightmenu.jump('prev')","group":"prevNext"},{"id":"next","name":"查看下一篇","icon":"fa-solid fa-angles-right PETERRIVE","event":"volantis.rightmenu.jump('next')","group":"prevNext"}]}}
+      
+    },
+    search: {
+      
+
+      
+        dataPath: (("/" || "/").endsWith("/") ? "/" || "/" : "//" || "/") + "content.json",
+      
+
+      
+    },
+    languages: {
+      
+        search: {
+          hits_empty: "We didn't find any results for the search: ${query}.",
+          hits_stats: "${hits} results found in ${time} ms",
+        }
+      
+    }
+  }
+</script>
+  <!-- import head_end begin -->
+  <!-- import head_end end -->
+  <!-- Custom Files headEnd begin-->
+  
+  <!-- Custom Files headEnd end-->
+<style type="text/css">
+.spoiler {
+  display: inline-flex;
+}
+p.spoiler {
+  display: flex;
+}
+.spoiler a {
+  pointer-events: none;
+}
+.spoiler-blur, .spoiler-blur > * {
+  transition: text-shadow .5s ease;
+}
+.spoiler .spoiler-blur, .spoiler .spoiler-blur > * {
+  color: rgba(0, 0, 0, 0);
+  background-color: rgba(0, 0, 0, 0);
+  text-shadow: 0 0 10px grey;
+  cursor: pointer;
+}
+.spoiler .spoiler-blur:hover, .spoiler .spoiler-blur:hover > * {
+  text-shadow: 0 0 0px grey;
+}
+.spoiler-box, .spoiler-box > * {
+  transition: color .5s ease,
+  background-color .5s ease;
+}
+.spoiler .spoiler-box, .spoiler .spoiler-box > * {
+  color: black;
+  background-color: black;
+  text-shadow: none;
+}</style></head>
+  <body itemscope itemtype="http://schema.org/WebPage">
+    <!-- import body_begin begin-->
+    <!-- import body_begin end-->
+    <!-- Custom Files bodyBegin begin-->
+    
+    <!-- Custom Files bodyBegin end-->
+    <header itemscope itemtype="http://schema.org/WPHeader" id="l_header" class="l_header auto shadow floatable blur show" style='opacity: 0' >
+  <div class='container'>
+  <div id='wrapper'>
+    <div class='nav-sub'>
+      <p class="title"></p>
+      <ul class='switcher nav-list-h m-phone'>
+        <li><a id="s-comment" class="fa-solid fa-comments fa-fw" target="_self" title="comment"></a></li>
+        
+          <li><a id="s-toc" class="s-toc fa-solid fa-list fa-fw" target="_self" title="toc"></a></li>
+        
+      </ul>
+    </div>
+		<div class="nav-main">
+      
+        
+        <a class="title flat-box" target="_self" href='/'>
+          
+          
+          
+            JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b>
+          
+        </a>
+      
+
+			<div class='menu navigation'>
+				<ul class='nav-list-h m-pc'>
+          
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+          
+            
+            
+              <hr>
+            
+          
+          
+            
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="归档"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-book fa-fw'></i>归档
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/dcdoujin/" title="DC Doujin"
+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
+            
+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
+                  <i class='fa-solid fa-moon fa-fw'></i>暗黑模式
+                </a>
+              <li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" title="本站源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" title="主题源码"
+                  
+                  
+                  
+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
+                  >
+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
+                </a>
+                
+              </li>
+            
+          
+                    
+                      
+            
+              <hr>
+            
+          
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                href="/archives/" title="博客文章"
+                  
+                  
+                  
+                    active-action="action-archives"
+                  >
+                  <i class='fa-solid fa-newspaper fa-fw'></i>博客文章
+                </a>
+                
+              </li>
+            
+          
+                    
+                  </ul>
+                
+              </li>
+            
+          
+            
+          </ul>
+        </li>
+			</ul>
+
+      <!-- Custom Files header begin -->
+      
+      <!-- Custom Files header end -->
+		</div>
+	</div>
+  </div>
+</header>
+
+    <div id="l_body">
+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+
+<div id="l_main" class=''>
+  
+    
+      
+  <section class="post-list">
+    
+      
+        
+          
+        
+      
+    
+    
+      
+        
+          <div class='post-wrapper'>
+            <div class="post post-v3 white-box reveal shadow floatable blur"  itemscope itemtype="http://schema.org/Article" >
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/journey-to-the-cspj2023/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+  
+  
+    <div class='headimg-div'>
+      <a class='headimg-a' href="/journey-to-the-cspj2023/">
+        <img itemprop="image" class='headimg' alt="CSP-J 2023 游记" src='https://pic.imgdb.cn/item/6546e03dc458853aef58100d.jpg'/>
+      </a>
+    </div>
+  
+  
+    
+    <h2 class="article-title"  itemprop="name headline">
+      <a href="/journey-to-the-cspj2023/"  itemprop="url">
+        CSP-J 2023 游记
+      </a>
+    </h2>
+  
+  <div class='md article-desc' itemprop="articleBody">
+    
+      
+        又名：《第一次考就被小学生薄纱的一集》
+本次考场：绵阳东辰国际学校
+第一节    赛前准备
+       插一句：CSP-J
+2023没有设置赛前试机环节（包括CSP-S，成都绵阳都这样），个人推测可能是由于开放自选Windows和Linux系统带来的结果。如果你听见诸如：不要操作电脑，违者将作作弊处理
+的话时，请将你按捺不住的双手安稳的放在双腿上，避免出现意料之外的事来。
+       然...
+      
+    
+  </div>
+  
+    <div class='meta-v3' line_style='solid'>
+      <div>
+        
+          
+          <a class='avatar' target="_blank" rel="noopener" href='https://github.com/volantis-x/'><img src='https://cdn.luogu.com.cn/upload/usericon/612722.png'></a>
+          <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
+            <meta itemprop="image" content="https://cdn.luogu.com.cn/upload/usericon/612722.png">
+            <meta itemprop="name" content="JustPureH2O">
+            <meta itemprop="url" content="https://github.com/volantis-x/">
+          </span>
+        
+        <time itemprop="dateCreated datePublished" datetime="2023-10-24T16:21:36+00:00">2023-10-24</time>
+        
+      </div>
+      
+        <div>
+          <a class='readmore' href='/journey-to-the-cspj2023/' itemprop="url">
+            Read More
+          </a>
+        </div>
+      
+    </div>
+  
+</div>
+
+          </div>
+        
+      
+    
+  </section>
+  
+    
+  
+
+
+    
+  
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+
+  
+
+  
+    
+    
+      
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget grid desktop mobile">
+  
+  <header>
+    
+      <i class="fa-solid fa-map-signs fa-fw" aria-hidden="true"></i><span class='name'>分类导航</span>
+    
+  </header>
+
+
+  <div class='content'>
+    <div class="grid navigation fixed">
+      
+        <a class="flat-box" href="/dcdoujin/"
+          
+          
+          active-action="action-dcdoujin">
+          
+            <img src="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" class="lazyload" data-srcset="https://pic.imgdb.cn/item/6546ffaec458853aefb363d8.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+          
+          DC Doujin
+        </a>
+      
+        <a class="flat-box" href="/archives/"
+          
+          
+          active-action="action-archives">
+          
+            <i class="fa-solid fa-file-alt fa-fw" aria-hidden="true"></i>
+          
+          归档文章
+        </a>
+      
+        <a class="flat-box" href="/friends/"
+          
+          
+            target="_blank"
+          
+          active-action="action-friends">
+          
+            <i class="fa-solid fa-user-friends fa-fw" aria-hidden="true"></i>
+          
+          友情链接
+        </a>
+      
+        <a class="flat-box" href="https://github.com/JustPureH2O/justpureh2o.github.io"
+          
+            rel="external nofollow noopener noreferrer"
+          
+          
+            target="_blank"
+          
+          active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio">
+          
+            <i class="fa-solid fa-code-branch fa-fw" aria-hidden="true"></i>
+          
+          本站源码
+        </a>
+      
+    </div>
+  </div>
+</section>
+
+    
+  
+
+  
+    
+    
+      
+<section class="widget blogger desktop mobile ">
+  <div class='content'>
+    
+      
+        <a class='avatar flat-box circle' href='/about/'>
+          <img no-lazy src='https://cdn.luogu.com.cn/upload/usericon/612722.png'/>
+        </a>
+      
+    
+    
+      <div class='text'>
+        
+          <h2>JustPure<b><span style="color:#0080c0">H</span><sub style="color:#ff9800">2</sub><span style="color:#0080c0">O</span></b></h2>
+        
+        
+          <p>吃食中...</p>
+
+        
+        
+      </div>
+    
+    
+      <div class="social-wrapper">
+        
+          
+            <a href="mailto:justpureh2o@outlook.com"
+              class="social fa-solid fa-envelope flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+          
+            <a href="https://github.com/JustPureH2O/"
+              class="social fab fa-github flat-btn"
+              target="_blank"
+              rel="external nofollow noopener noreferrer">
+              
+            </a>
+          
+        
+      </div>
+    
+  </div>
+</section>
+
+    
+  
+
+
+<div class="widget-sticky">
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":2,"item":{"@id":"https://justpureh2o.github.io/tags/赛后总结/","name":"赛后总结"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"wordCount":0,"image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>
diff --git a/thanks/index.html b/thanks/index.html
new file mode 100644
index 0000000000..e959231a09
--- /dev/null
+++ b/thanks/index.html
@@ -0,0 +1,4267 @@
+<!DOCTYPE html>
+<html lang="en">
+    <head hexo-theme='https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1'>
+  <meta name="generator" content="Hexo 6.3.0">
+  <meta name="Volantis" content="6.0.0-alpha.1">
+  <meta charset="utf-8">
+  <!-- SEO相关 -->
+  
+  <link rel="canonical" href="https://justpureh2o.github.io/thanks/"/>
+  <!-- 渲染优化 -->
+    <meta http-equiv='x-dns-prefetch-control' content='on' />
+      <link rel='dns-prefetch' href='https://unpkg.com'>
+      <link rel="preconnect" href="https://unpkg.com" crossorigin>
+      <link rel='dns-prefetch' href='https://cdn.bootcdn.net'>
+      <link rel="preconnect" href="https://cdn.bootcdn.net" crossorigin>
+  <meta name="renderer" content="webkit">
+  <meta name="force-rendering" content="webkit">
+  <meta http-equiv="X-UA-Compatible" content="IE=Edge,chrome=1">
+    <meta http-equiv="Content-Security-Policy" content=" default-src 'self' https:; block-all-mixed-content; base-uri 'self' https:; form-action 'self' https:; worker-src 'self' https:; connect-src 'self' https: *; img-src 'self' data: https: *; media-src 'self' https: *; font-src 'self' data: https: *; frame-src 'self' https: *; manifest-src 'self' https: *; child-src https:; script-src 'self' https: 'unsafe-inline' *; style-src 'self' https: 'unsafe-inline' *; ">
+  <meta name="HandheldFriendly" content="True" >
+  <meta name="apple-mobile-web-app-capable" content="yes">
+  <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=5">
+  <meta content="black-translucent" name="apple-mobile-web-app-status-bar-style">
+  <meta content="telephone=no" name="format-detection">
+  <!-- import head_begin begin -->
+  <!-- import head_begin end -->
+  <!-- Custom Files headBegin begin-->
+  
+  <!-- Custom Files headBegin end-->
+    <link rel="shortcut icon" type='image/x-icon' href="https://pic.imgdb.cn/item/65acc265871b83018a982471.png">
+  <link rel="preload" href="/css/style.css" as="style">
+  <link rel="preload" href="https://justpureh2o.github.io/fonts/HFSnakylines.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+<link rel="preload" href="https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf" as="font" type="font/ttf" crossorigin="anonymous">
+
+  <!-- feed -->
+  <!-- 页面元数据 -->
+  <title>一命已出，前来还愿 - JustPureH2O的博客</title>
+  <meta name="keywords" content="原神,JustPureH2O,JustPureH2O's Blog">
+  <meta desc name="description" content="JustPureH2O的小窝 - JustPureH2O - JustPureH2O的博客">
+  
+<meta property="og:type" content="article">
+<meta property="og:title" content="一命已出，前来还愿">
+<meta property="og:url" content="https://justpureh2o.github.io/thanks/index.html">
+<meta property="og:site_name" content="JustPureH2O的博客">
+<meta property="og:description" content="2023.11.11 21:10">
+<meta property="og:locale" content="en_US">
+<meta property="og:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+<meta property="article:published_time" content="2023-11-12T09:42:41.000Z">
+<meta property="article:modified_time" content="2024-02-16T08:47:56.962Z">
+<meta property="article:author" content="JustPureH2O">
+<meta property="article:tag" content="原神">
+<meta name="twitter:card" content="summary">
+<meta name="twitter:image" content="https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png">
+  <style>
+    /* 首屏样式 */
+    #safearea {
+  display: none;
+}
+.post-story + .post-story {
+  content-visibility: auto;
+  contain-intrinsic-size: 10px 500px;
+}
+:root {
+  --color-site-body: #f4f4f4;
+  --color-site-bg: #f4f4f4;
+  --color-site-inner: #fff;
+  --color-site-footer: #666;
+  --color-card: #fff;
+  --color-text: #444;
+  --color-block: #f6f6f6;
+  --color-inlinecode: #c74f00;
+  --color-codeblock: #fff7ea;
+  --color-h1: #3a3a3a;
+  --color-h2: #3a3a3a;
+  --color-h3: #333;
+  --color-h4: #444;
+  --color-h5: #555;
+  --color-h6: #666;
+  --color-p: #444;
+  --color-list: #666;
+  --color-list-hl: #30ad91;
+  --color-meta: #888;
+  --color-read-bkg: #e0d8c8;
+  --color-read-post: #f8f1e2;
+  --color-copyright-bkg: #f5f5f5;
+}
+* {
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  outline: none;
+  margin: 0;
+  padding: 0;
+}
+*::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+*::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+*::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+*::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+html {
+  color: var(--color-text);
+  width: 100%;
+  height: 100%;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  font-size: 16px;
+}
+html >::-webkit-scrollbar {
+  height: 4px;
+  width: 4px;
+}
+html >::-webkit-scrollbar-track-piece {
+  background: transparent;
+}
+html >::-webkit-scrollbar-thumb {
+  background: #3dd9b6;
+  cursor: pointer;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+}
+html >::-webkit-scrollbar-thumb:hover {
+  background: #ff5722;
+}
+body {
+  background-color: var(--color-site-body);
+  text-rendering: optimizelegibility;
+  -webkit-tap-highlight-color: rgba(0,0,0,0);
+  line-height: 1.6;
+  -webkit-text-size-adjust: 100%;
+  -ms-text-size-adjust: 100%;
+}
+body.modal-active {
+  overflow: hidden;
+}
+@media screen and (max-width: 680px) {
+  body.modal-active {
+    position: fixed;
+    top: 0;
+    right: 0;
+    bottom: 0;
+    left: 0;
+  }
+}
+a {
+  color: #2092ec;
+  cursor: pointer;
+  text-decoration: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+a:hover {
+  color: #ff5722;
+}
+a:active,
+a:hover {
+  outline: 0;
+}
+ul,
+ol {
+  padding-left: 0;
+}
+ul li,
+ol li {
+  list-style: none;
+}
+header {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+img {
+  border: 0;
+  background: none;
+  max-width: 100%;
+}
+svg:not(:root) {
+  overflow: hidden;
+}
+hr {
+  -moz-box-sizing: content-box;
+  box-sizing: content-box;
+  -webkit-box-sizing: content-box;
+  -moz-box-sizing: content-box;
+  height: 0;
+  border: 0;
+  border-radius: 1px;
+  -webkit-border-radius: 1px;
+  border-bottom: 1px solid rgba(68,68,68,0.1);
+}
+button,
+input {
+  color: inherit;
+  font: inherit;
+  margin: 0;
+}
+button {
+  overflow: visible;
+  text-transform: none;
+  -webkit-appearance: button;
+  cursor: pointer;
+}
+@supports (backdrop-filter: blur(20px)) {
+  .blur {
+    background: rgba(255,255,255,0.9) !important;
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.shadow {
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.shadow.floatable {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.shadow.floatable:hover {
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.1), 0 4px 8px 0px rgba(0,0,0,0.1), 0 8px 16px 0px rgba(0,0,0,0.1);
+}
+#l_cover {
+  min-height: 64px;
+}
+.cover-wrapper {
+  top: 0;
+  left: 0;
+  max-width: 100%;
+  height: 100vh;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  align-self: center;
+  align-content: center;
+  color: var(--color-site-inner);
+  padding: 0 16px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+  position: relative;
+  overflow: hidden;
+  margin-bottom: -100px;
+}
+.cover-wrapper .cover-bg {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background-position: center;
+  background-size: cover;
+  -webkit-background-size: cover;
+  -moz-background-size: cover;
+}
+.cover-wrapper .cover-bg.lazyload:not(.loaded) {
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+}
+.cover-wrapper .cover-bg.lazyload.loaded {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+    transform: scale(1.02);
+    -webkit-transform: scale(1.02);
+    -khtml-transform: scale(1.02);
+    -moz-transform: scale(1.02);
+    -o-transform: scale(1.02);
+    -ms-transform: scale(1.02);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  z-index: 1;
+  position: relative;
+  width: 100%;
+  height: 100%;
+}
+.cover-wrapper#full {
+  height: calc(100vh + 100px);
+  padding-bottom: 100px;
+}
+.cover-wrapper#half {
+  max-height: 640px;
+  min-height: 400px;
+  height: calc(36vh - 64px + 200px);
+}
+.cover-wrapper #scroll-down {
+  width: 100%;
+  height: 64px;
+  position: absolute;
+  bottom: 100px;
+  text-align: center;
+  cursor: pointer;
+}
+.cover-wrapper #scroll-down .scroll-down-effects {
+  color: #fff;
+  font-size: 24px;
+  line-height: 64px;
+  position: absolute;
+  width: 24px;
+  left: calc(50% - 12px);
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+  animation: scroll-down-effect 1.5s infinite;
+  -webkit-animation: scroll-down-effect 1.5s infinite;
+  -khtml-animation: scroll-down-effect 1.5s infinite;
+  -moz-animation: scroll-down-effect 1.5s infinite;
+  -o-animation: scroll-down-effect 1.5s infinite;
+  -ms-animation: scroll-down-effect 1.5s infinite;
+}
+@-moz-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes scroll-down-effect {
+  0% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+  50% {
+    top: -16px;
+    opacity: 0.4;
+    -webkit-opacity: 0.4;
+    -moz-opacity: 0.4;
+  }
+  100% {
+    top: 0;
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.cover-wrapper .cover-body {
+  margin-top: 64px;
+  margin-bottom: 100px;
+}
+.cover-wrapper .cover-body,
+.cover-wrapper .cover-body .top,
+.cover-wrapper .cover-body .bottom {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  max-width: 100%;
+}
+.cover-wrapper .cover-body .bottom {
+  margin-top: 32px;
+}
+.cover-wrapper .cover-body .title {
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+  font-size: 3.125rem;
+  line-height: 1.2;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.1);
+}
+.cover-wrapper .cover-body .subtitle {
+  font-size: 20px;
+}
+.cover-wrapper .cover-body .logo {
+  max-height: 120px;
+  max-width: calc(100% - 4 * 16px);
+}
+@media screen and (min-height: 1024px) {
+  .cover-wrapper .cover-body .title {
+    font-size: 3rem;
+  }
+  .cover-wrapper .cover-body .subtitle {
+    font-size: 1.05rem;
+  }
+  .cover-wrapper .cover-body .logo {
+    max-height: 150px;
+  }
+}
+.cover-wrapper .cover-body .m_search {
+  position: relative;
+  max-width: calc(100% - 16px);
+  width: 320px;
+  vertical-align: middle;
+}
+.cover-wrapper .cover-body .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  width: 100%;
+}
+.cover-wrapper .cover-body .m_search .icon,
+.cover-wrapper .cover-body .m_search .input {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.cover-wrapper .cover-body .m_search .icon {
+  position: absolute;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  line-height: 2.5rem;
+  width: 32px;
+  top: 0;
+  left: 5px;
+  color: rgba(68,68,68,0.75);
+}
+.cover-wrapper .cover-body .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  height: 2.5rem;
+  width: 100%;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  font-size: 0.875rem;
+  -webkit-appearance: none;
+  padding-left: 36px;
+  border-radius: 1.4rem;
+  -webkit-border-radius: 1.4rem;
+  background: rgba(255,255,255,0.6);
+  backdrop-filter: blur(10px);
+  border: none;
+  color: var(--color-text);
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .cover-body .m_search .input {
+    padding-left: 36px;
+  }
+}
+.cover-wrapper .cover-body .m_search .input:hover {
+  background: rgba(255,255,255,0.8);
+}
+.cover-wrapper .cover-body .m_search .input:focus {
+  background: #fff;
+}
+.cover-wrapper .list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  flex-wrap: wrap;
+  -webkit-flex-wrap: wrap;
+  -khtml-flex-wrap: wrap;
+  -moz-flex-wrap: wrap;
+  -o-flex-wrap: wrap;
+  -ms-flex-wrap: wrap;
+  align-items: stretch;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.cover-wrapper .list-h a {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 0;
+  -ms-flex: 1 0;
+  flex: 1 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  font-weight: 600;
+}
+.cover-wrapper .list-h a img {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  border-radius: 2px;
+  -webkit-border-radius: 2px;
+  margin: 4px;
+  min-width: 40px;
+  max-width: 44px;
+}
+@media screen and (max-width: 768px) {
+  .cover-wrapper .list-h a img {
+    min-width: 36px;
+    max-width: 40px;
+  }
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper .list-h a img {
+    margin: 2px 4px;
+    min-width: 32px;
+    max-width: 36px;
+  }
+}
+@media screen and (max-width: 375px) {
+  .cover-wrapper .list-h a img {
+    min-width: 28px;
+    max-width: 32px;
+  }
+}
+.cover-wrapper {
+  max-width: 100%;
+}
+.cover-wrapper.search .bottom .menu {
+  margin-top: 16px;
+}
+.cover-wrapper.search .bottom .menu .list-h a {
+  white-space: nowrap;
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: horizontal;
+  -moz-box-orient: horizontal;
+  -webkit-flex-direction: row;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  align-items: baseline;
+  padding: 2px;
+  margin: 4px;
+  color: var(--color-site-inner);
+  opacity: 0.75;
+  -webkit-opacity: 0.75;
+  -moz-opacity: 0.75;
+  text-shadow: 0 1px 2px rgba(0,0,0,0.05);
+  border-bottom: 2px solid transparent;
+}
+.cover-wrapper.search .bottom .menu .list-h a i {
+  margin-right: 4px;
+}
+.cover-wrapper.search .bottom .menu .list-h a p {
+  font-size: 0.9375rem;
+}
+.cover-wrapper.search .bottom .menu .list-h a:hover,
+.cover-wrapper.search .bottom .menu .list-h a.active,
+.cover-wrapper.search .bottom .menu .list-h a:active {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+  border-bottom: 2px solid var(--color-site-inner);
+}
+.cover-wrapper.dock .menu,
+.cover-wrapper.featured .menu,
+.cover-wrapper.focus .menu {
+  border-radius: 6px;
+  -webkit-border-radius: 6px;
+}
+.cover-wrapper.dock .menu .list-h a,
+.cover-wrapper.featured .menu .list-h a,
+.cover-wrapper.focus .menu .list-h a {
+  -webkit-box-direction: normal;
+  -moz-box-direction: normal;
+  -webkit-box-orient: vertical;
+  -moz-box-orient: vertical;
+  -webkit-flex-direction: column;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: center;
+  padding: 12px;
+  line-height: 24px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  border-bottom: none;
+  text-align: center;
+  align-content: flex-end;
+  color: rgba(68,68,68,0.7);
+  font-size: 1.5rem;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h a,
+  .cover-wrapper.featured .menu .list-h a,
+  .cover-wrapper.focus .menu .list-h a {
+    padding: 12px 8px;
+  }
+}
+.cover-wrapper.dock .menu .list-h a i,
+.cover-wrapper.featured .menu .list-h a i,
+.cover-wrapper.focus .menu .list-h a i {
+  margin: 8px;
+}
+.cover-wrapper.dock .menu .list-h a p,
+.cover-wrapper.featured .menu .list-h a p,
+.cover-wrapper.focus .menu .list-h a p {
+  font-size: 0.875rem;
+}
+.cover-wrapper.dock .menu .list-h a.active,
+.cover-wrapper.featured .menu .list-h a.active,
+.cover-wrapper.focus .menu .list-h a.active {
+  background: var(--color-card);
+  backdrop-filter: none;
+}
+.cover-wrapper.dock .menu .list-h a.active i,
+.cover-wrapper.featured .menu .list-h a.active i,
+.cover-wrapper.focus .menu .list-h a.active i,
+.cover-wrapper.dock .menu .list-h a.active i+p,
+.cover-wrapper.featured .menu .list-h a.active i+p,
+.cover-wrapper.focus .menu .list-h a.active i+p {
+  color: #3dd9b6;
+}
+.cover-wrapper.dock .menu .list-h a.active img+p,
+.cover-wrapper.featured .menu .list-h a.active img+p,
+.cover-wrapper.focus .menu .list-h a.active img+p {
+  color: var(--color-text);
+}
+.cover-wrapper.dock .menu .list-h a:hover,
+.cover-wrapper.featured .menu .list-h a:hover,
+.cover-wrapper.focus .menu .list-h a:hover {
+  background: var(--color-card);
+}
+.cover-wrapper.dock .top {
+  margin-bottom: 48px;
+}
+.cover-wrapper.dock .menu {
+  background: rgba(255,255,255,0.5);
+  position: absolute;
+  bottom: 0;
+  max-width: 100%;
+}
+.cover-wrapper.dock .menu .list-h {
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  margin: 4px;
+}
+.cover-wrapper.dock .menu .list-h a+a {
+  margin-left: 4px;
+}
+@media screen and (max-width: 500px) {
+  .cover-wrapper.dock .menu .list-h {
+    overflow-x: scroll;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar {
+    height: 0;
+    width: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-track-piece {
+    background: transparent;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb {
+    background: #3dd9b6;
+    cursor: pointer;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+  }
+  .cover-wrapper.dock .menu .list-h::-webkit-scrollbar-thumb:hover {
+    background: #ff5722;
+  }
+}
+@supports (backdrop-filter: blur(20px)) {
+  .cover-wrapper.dock .menu {
+    background: rgba(255,255,255,0.5);
+    backdrop-filter: saturate(200%) blur(20px);
+  }
+}
+.cover-wrapper #parallax-window {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  background: transparent;
+}
+.parallax-mirror {
+  animation-delay: 0s;
+  animation-duration: 0.5s;
+  animation-fill-mode: forwards;
+  animation-timing-function: ease-out;
+  animation-name: fadeIn;
+}
+@-moz-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-webkit-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@-o-keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@keyframes fadeIn {
+  0% {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+    filter: blur(12px);
+  }
+  100% {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media (prefers-color-scheme: dark) {
+  :root {
+    --color-mode: 'dark';
+  }
+  :root:not([color-scheme]) {
+    --color-site-body: #121212;
+    --color-read-bkg: #1f1f1f;
+    --color-read-post: #262626;
+    --color-site-bg: #1f1f1f;
+    --color-site-inner: rgba(238,238,238,0.871);
+    --color-site-footer: rgba(170,170,170,0.871);
+    --color-card: #262626;
+    --color-text: rgba(238,238,238,0.871);
+    --color-block: #434343;
+    --color-codeblock: #1f1f1f;
+    --color-inlinecode: #d56d28;
+    --color-h1: rgba(255,255,255,0.871);
+    --color-h2: rgba(255,255,255,0.871);
+    --color-h3: rgba(255,255,255,0.6);
+    --color-h4: rgba(255,255,255,0.6);
+    --color-h5: rgba(255,255,255,0.6);
+    --color-h6: rgba(255,255,255,0.6);
+    --color-p: rgba(217,217,217,0.871);
+    --color-list: rgba(217,217,217,0.871);
+    --color-list-hl: #63e0c4;
+    --color-meta: rgba(191,191,191,0.871);
+    --color-link: rgba(191,191,191,0.871);
+    --color-copyright-bkg: #21252b;
+  }
+  :root:not([color-scheme]) img {
+    filter: brightness(70%) !important;
+  }
+  :root:not([color-scheme]) .blur {
+    background: rgba(31,31,31,0.9) !important;
+  }
+  :root:not([color-scheme]) .white-box.blur {
+    background: rgba(38,38,38,0.9) !important;
+  }
+  :root:not([color-scheme]) .nav-main .u-search-input {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) #l_main .article .prev-next>a:hover {
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) .article blockquote {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .article-title a {
+    color: var(--color-h1) !important;
+  }
+  :root:not([color-scheme]) details>summary {
+    color: var(--color-p) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) details {
+    border: 1px solid var(--color-site-bg) !important;
+    background: var(--color-site-bg) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal,
+  :root:not([color-scheme]) #u-search .modal-header,
+  :root:not([color-scheme]) #u-search .modal-body {
+    background: var(--color-card) !important;
+  }
+  :root:not([color-scheme]) #u-search .modal-body .modal-results .result:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:hover {
+    background: var(--color-block) !important;
+  }
+  :root:not([color-scheme]) .u-search-input:focus {
+    background: var(--color-site-body) !important;
+  }
+}
+[color-scheme='dark'] {
+  --color-site-body: #121212;
+  --color-read-bkg: #1f1f1f;
+  --color-read-post: #262626;
+  --color-site-bg: #1f1f1f;
+  --color-site-inner: rgba(238,238,238,0.871);
+  --color-site-footer: rgba(170,170,170,0.871);
+  --color-card: #262626;
+  --color-text: rgba(238,238,238,0.871);
+  --color-block: #434343;
+  --color-codeblock: #1f1f1f;
+  --color-inlinecode: #d56d28;
+  --color-h1: rgba(255,255,255,0.871);
+  --color-h2: rgba(255,255,255,0.871);
+  --color-h3: rgba(255,255,255,0.6);
+  --color-h4: rgba(255,255,255,0.6);
+  --color-h5: rgba(255,255,255,0.6);
+  --color-h6: rgba(255,255,255,0.6);
+  --color-p: rgba(217,217,217,0.871);
+  --color-list: rgba(217,217,217,0.871);
+  --color-list-hl: #63e0c4;
+  --color-meta: rgba(191,191,191,0.871);
+  --color-link: rgba(191,191,191,0.871);
+  --color-copyright-bkg: #21252b;
+}
+[color-scheme='dark'] img {
+  filter: brightness(70%) !important;
+}
+[color-scheme='dark'] .blur {
+  background: rgba(31,31,31,0.9) !important;
+}
+[color-scheme='dark'] .white-box.blur {
+  background: rgba(38,38,38,0.9) !important;
+}
+[color-scheme='dark'] .nav-main .u-search-input {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] #l_main .article .prev-next>a:hover {
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] .article blockquote {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .article-title a {
+  color: var(--color-h1) !important;
+}
+[color-scheme='dark'] details>summary {
+  color: var(--color-p) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] details {
+  border: 1px solid var(--color-site-bg) !important;
+  background: var(--color-site-bg) !important;
+}
+[color-scheme='dark'] #u-search .modal,
+[color-scheme='dark'] #u-search .modal-header,
+[color-scheme='dark'] #u-search .modal-body {
+  background: var(--color-card) !important;
+}
+[color-scheme='dark'] #u-search .modal-body .modal-results .result:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:hover {
+  background: var(--color-block) !important;
+}
+[color-scheme='dark'] .u-search-input:focus {
+  background: var(--color-site-body) !important;
+}
+@media screen and (max-width: 500px) {
+  [color-scheme='dark'] .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+@font-face {
+  font-family: 'HYJiangJunJ';
+  src: url("https://justpureh2o.github.io/fonts/HYJiangJun-J.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+@font-face {
+  font-family: 'HFSnakylines';
+  src: url("https://justpureh2o.github.io/fonts/HFSnakylines.ttf");
+  font-weight: 'normal';
+  font-style: 'normal';
+  font-display: swap;
+}
+.l_header {
+  position: fixed;
+  z-index: 1000;
+  top: 0;
+  width: 100%;
+  height: 64px;
+  background: var(--color-card);
+  box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+  -webkit-box-shadow: 0 1px 2px 0px rgba(0,0,0,0.1);
+}
+.l_header.auto {
+  transition: opacity 0.4s ease;
+  -webkit-transition: opacity 0.4s ease;
+  -khtml-transition: opacity 0.4s ease;
+  -moz-transition: opacity 0.4s ease;
+  -o-transition: opacity 0.4s ease;
+  -ms-transition: opacity 0.4s ease;
+  visibility: hidden;
+}
+.l_header.auto.show {
+  opacity: 1 !important;
+  -webkit-opacity: 1 !important;
+  -moz-opacity: 1 !important;
+  visibility: visible;
+}
+.l_header .container {
+  margin-left: 16px;
+  margin-right: 16px;
+}
+.l_header #wrapper {
+  height: 100%;
+  user-select: none;
+  -webkit-user-select: none;
+  -moz-user-select: none;
+  -ms-user-select: none;
+}
+.l_header #wrapper .nav-main,
+.l_header #wrapper .nav-sub {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  flex-wrap: nowrap;
+  -webkit-flex-wrap: nowrap;
+  -khtml-flex-wrap: nowrap;
+  -moz-flex-wrap: nowrap;
+  -o-flex-wrap: nowrap;
+  -ms-flex-wrap: nowrap;
+  justify-content: space-between;
+  -webkit-justify-content: space-between;
+  -khtml-justify-content: space-between;
+  -moz-justify-content: space-between;
+  -o-justify-content: space-between;
+  -ms-justify-content: space-between;
+  align-items: center;
+}
+.l_header #wrapper .nav-main {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.l_header #wrapper.sub .nav-main {
+  transform: translateY(-64px);
+  -webkit-transform: translateY(-64px);
+  -khtml-transform: translateY(-64px);
+  -moz-transform: translateY(-64px);
+  -o-transform: translateY(-64px);
+  -ms-transform: translateY(-64px);
+}
+.l_header #wrapper .nav-sub {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  opacity: 0;
+  -webkit-opacity: 0;
+  -moz-opacity: 0;
+  height: 64px;
+  width: calc(100% - 2 * 16px);
+  position: absolute;
+}
+.l_header #wrapper .nav-sub ::-webkit-scrollbar {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (min-width: 2048px) {
+  .l_header #wrapper .nav-sub {
+    max-width: 55vw;
+    margin: auto;
+  }
+}
+.l_header #wrapper.sub .nav-sub {
+  opacity: 1;
+  -webkit-opacity: 1;
+  -moz-opacity: 1;
+}
+.l_header #wrapper .title {
+  position: relative;
+  color: var(--color-text);
+  padding-left: 24px;
+  max-height: 64px;
+}
+.l_header #wrapper .nav-main .title {
+  white-space: nowrap;
+  overflow: hidden;
+  text-overflow: ellipsis;
+  flex-shrink: 0;
+  line-height: 64px;
+  padding: 0 24px;
+  font-size: 1.25rem;
+  font-family: HFSnakylines, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Helvetica, monospace;
+}
+.l_header #wrapper .nav-main .title img {
+  height: 64px;
+}
+.l_header .nav-sub {
+  max-width: 1080px;
+  margin: auto;
+}
+.l_header .nav-sub .title {
+  font-weight: bold;
+  font-family: HYJiangJunJ, "PingFang SC", "Microsoft YaHei", Helvetica, Arial, Menlo, Monaco, monospace, sans-serif;
+  line-height: 1.2;
+  max-height: 64px;
+  white-space: normal;
+  flex-shrink: 1;
+}
+.l_header .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  line-height: 64px;
+  align-items: center;
+}
+.l_header .switcher .s-toc {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+}
+@media screen and (max-width: 768px) {
+  .l_header .switcher .s-toc {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+  }
+}
+.l_header .switcher >li {
+  height: 48px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  margin: 2px;
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li {
+    margin: 0 1px;
+    height: 48px;
+  }
+}
+.l_header .switcher >li >a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  align-items: center;
+  width: 48px;
+  height: 48px;
+  padding: 0.85em 1.1em;
+  border-radius: 100px;
+  -webkit-border-radius: 100px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  color: #3dd9b6;
+}
+.l_header .switcher >li >a:hover {
+  border: none;
+}
+.l_header .switcher >li >a.active,
+.l_header .switcher >li >a:active {
+  border: none;
+  background: var(--color-site-bg);
+}
+@media screen and (max-width: 500px) {
+  .l_header .switcher >li >a {
+    width: 36px;
+    height: 48px;
+  }
+}
+.l_header .nav-sub .switcher {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+}
+.l_header .m_search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  height: 64px;
+  width: 240px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (max-width: 1024px) {
+  .l_header .m_search {
+    width: 44px;
+    min-width: 44px;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 0;
+    -webkit-opacity: 0;
+    -moz-opacity: 0;
+  }
+  .l_header .m_search:hover {
+    width: 240px;
+  }
+  .l_header .m_search:hover input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search:hover .input {
+    width: 100%;
+  }
+  .l_header .m_search:hover .input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search {
+    min-width: 0;
+  }
+  .l_header .m_search input::placeholder {
+    opacity: 1;
+    -webkit-opacity: 1;
+    -moz-opacity: 1;
+  }
+}
+.l_header .m_search .form {
+  position: relative;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  width: 100%;
+  align-items: center;
+}
+.l_header .m_search .icon {
+  position: absolute;
+  width: 36px;
+  left: 5px;
+  color: var(--color-meta);
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .icon {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+.l_header .m_search .input {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding-top: 8px;
+  padding-bottom: 8px;
+  line-height: 1.3;
+  width: 100%;
+  color: var(--color-text);
+  background: #fafafa;
+  box-shadow: none;
+  -webkit-box-shadow: none;
+  box-sizing: border-box;
+  -webkit-box-sizing: border-box;
+  -moz-box-sizing: border-box;
+  padding-left: 40px;
+  font-size: 0.875rem;
+  border-radius: 8px;
+  -webkit-border-radius: 8px;
+  border: none;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+@media screen and (min-width: 500px) {
+  .l_header .m_search .input:focus {
+    box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+    -webkit-box-shadow: 0 4px 8px 0px rgba(0,0,0,0.1);
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .m_search .input {
+    background: var(--color-block);
+    padding-left: 8px;
+    border: none;
+  }
+  .l_header .m_search .input:hover,
+  .l_header .m_search .input:focus {
+    border: none;
+  }
+}
+@media (max-width: 500px) {
+  .l_header .m_search {
+    left: 0;
+    width: 0;
+    overflow: hidden;
+    position: absolute;
+    background: #fff;
+    transition: all 0.28s ease;
+    -webkit-transition: all 0.28s ease;
+    -khtml-transition: all 0.28s ease;
+    -moz-transition: all 0.28s ease;
+    -o-transition: all 0.28s ease;
+    -ms-transition: all 0.28s ease;
+  }
+  .l_header .m_search .input {
+    border-radius: 32px;
+    -webkit-border-radius: 32px;
+    margin-left: 16px;
+    padding-left: 16px;
+  }
+  .l_header.z_search-open .m_search {
+    width: 100%;
+  }
+  .l_header.z_search-open .m_search .input {
+    width: calc(100% - 120px);
+  }
+}
+ul.m-pc >li>a {
+  color: inherit;
+  border-bottom: 2px solid transparent;
+}
+ul.m-pc >li>a:active,
+ul.m-pc >li>a.active {
+  border-bottom: 2px solid #3dd9b6;
+}
+ul.m-pc li:hover >ul.list-v,
+ul.list-v li:hover >ul.list-v {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.nav-list-h {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: -ms-flexbox /* TWEENER - IE 10 */;
+  display: -webkit-flex /* NEW - Chrome */;
+  display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+  display: flex;
+  align-items: stretch;
+}
+ul.nav-list-h>li {
+  position: relative;
+  justify-content: center;
+  -webkit-justify-content: center;
+  -khtml-justify-content: center;
+  -moz-justify-content: center;
+  -o-justify-content: center;
+  -ms-justify-content: center;
+  height: 100%;
+  line-height: 2.4;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+ul.nav-list-h>li >a {
+  -webkit-font-smoothing: antialiased;
+  -moz-osx-font-smoothing: grayscale;
+  font-weight: 600;
+}
+ul.list-v {
+  z-index: 1;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: absolute;
+  background: var(--color-card);
+  box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  -webkit-box-shadow: 0 2px 4px 0px rgba(0,0,0,0.08), 0 4px 8px 0px rgba(0,0,0,0.08), 0 8px 16px 0px rgba(0,0,0,0.08);
+  margin-top: -6px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+  padding: 8px 0;
+}
+ul.list-v.show {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+}
+ul.list-v hr {
+  margin-top: 8px;
+  margin-bottom: 8px;
+}
+ul.list-v >li {
+  white-space: nowrap;
+  word-break: keep-all;
+}
+ul.list-v >li.header {
+  font-size: 0.78125rem;
+  font-weight: bold;
+  line-height: 2em;
+  color: var(--color-meta);
+  margin: 8px 16px 4px;
+}
+ul.list-v >li.header i {
+  margin-right: 8px;
+}
+ul.list-v >li ul {
+  margin-left: 0;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: -40px;
+}
+ul.list-v .aplayer-container {
+  min-height: 64px;
+  padding: 6px 16px;
+}
+ul.list-v >li>a {
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  color: var(--color-list);
+  font-size: 0.875rem;
+  font-weight: bold;
+  line-height: 36px;
+  padding: 0 20px 0 16px;
+  text-overflow: ellipsis;
+  margin: 0 4px;
+  border-radius: 4px;
+  -webkit-border-radius: 4px;
+}
+@media screen and (max-width: 1024px) {
+  ul.list-v >li>a {
+    line-height: 40px;
+  }
+}
+ul.list-v >li>a >i {
+  margin-right: 8px;
+}
+ul.list-v >li>a:active,
+ul.list-v >li>a.active {
+  color: var(--color-list-hl);
+}
+ul.list-v >li>a:hover {
+  color: var(--color-list-hl);
+  background: var(--color-site-bg);
+}
+.l_header .menu >ul>li>a {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: block;
+  padding: 0 8px;
+}
+.l_header .menu >ul>li>a >i {
+  margin-right: 4px;
+}
+.l_header ul.nav-list-h>li {
+  color: var(--color-list);
+  line-height: 64px;
+}
+.l_header ul.nav-list-h>li >a {
+  max-height: 64px;
+  overflow: hidden;
+  color: inherit;
+}
+.l_header ul.nav-list-h>li >a:active,
+.l_header ul.nav-list-h>li >a.active {
+  color: #3dd9b6;
+}
+.l_header ul.nav-list-h>li:hover>a {
+  color: var(--color-list-hl);
+}
+.l_header ul.nav-list-h>li i.music {
+  animation: rotate-effect 1.5s linear infinite;
+  -webkit-animation: rotate-effect 1.5s linear infinite;
+  -khtml-animation: rotate-effect 1.5s linear infinite;
+  -moz-animation: rotate-effect 1.5s linear infinite;
+  -o-animation: rotate-effect 1.5s linear infinite;
+  -ms-animation: rotate-effect 1.5s linear infinite;
+}
+@-moz-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-webkit-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@-o-keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+@keyframes rotate-effect {
+  0% {
+    transform: rotate(0);
+    -webkit-transform: rotate(0);
+    -khtml-transform: rotate(0);
+    -moz-transform: rotate(0);
+    -o-transform: rotate(0);
+    -ms-transform: rotate(0);
+  }
+  25% {
+    transform: rotate(90deg);
+    -webkit-transform: rotate(90deg);
+    -khtml-transform: rotate(90deg);
+    -moz-transform: rotate(90deg);
+    -o-transform: rotate(90deg);
+    -ms-transform: rotate(90deg);
+  }
+  50% {
+    transform: rotate(180deg);
+    -webkit-transform: rotate(180deg);
+    -khtml-transform: rotate(180deg);
+    -moz-transform: rotate(180deg);
+    -o-transform: rotate(180deg);
+    -ms-transform: rotate(180deg);
+  }
+  75% {
+    transform: rotate(270deg);
+    -webkit-transform: rotate(270deg);
+    -khtml-transform: rotate(270deg);
+    -moz-transform: rotate(270deg);
+    -o-transform: rotate(270deg);
+    -ms-transform: rotate(270deg);
+  }
+  100% {
+    transform: rotate(360deg);
+    -webkit-transform: rotate(360deg);
+    -khtml-transform: rotate(360deg);
+    -moz-transform: rotate(360deg);
+    -o-transform: rotate(360deg);
+    -ms-transform: rotate(360deg);
+  }
+}
+.menu-phone li ul.list-v {
+  right: calc(100% - 0.5 * 16px);
+}
+.menu-phone li ul.list-v ul {
+  right: calc(100% - 0.5 * 16px);
+}
+#wrapper {
+  max-width: 1080px;
+  margin: auto;
+}
+@media screen and (min-width: 2048px) {
+  #wrapper {
+    max-width: 55vw;
+  }
+}
+#wrapper .menu {
+  -webkit-box-flex: 1;
+  -moz-box-flex: 1;
+  -webkit-flex: 1 1;
+  -ms-flex: 1 1;
+  flex: 1 1;
+  margin: 0 16px 0 0;
+}
+#wrapper .menu .list-v ul {
+  left: calc(100% - 0.5 * 16px);
+}
+.menu-phone {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  margin-top: 16px;
+  right: 8px;
+  transition: all 0.28s ease;
+  -webkit-transition: all 0.28s ease;
+  -khtml-transition: all 0.28s ease;
+  -moz-transition: all 0.28s ease;
+  -o-transition: all 0.28s ease;
+  -ms-transition: all 0.28s ease;
+}
+.menu-phone ul {
+  right: calc(100% - 0.5 * 16px);
+}
+@media screen and (max-width: 500px) {
+  .menu-phone {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: block;
+  }
+}
+.l_header {
+  max-width: 65vw;
+  left: calc((100% - 65vw) * 0.5);
+  border-bottom-left-radius: 8px;
+  border-bottom-right-radius: 8px;
+}
+@media screen and (max-width: 2048px) {
+  .l_header {
+    max-width: 1112px;
+    left: calc((100% - 1112px) * 0.5);
+  }
+}
+@media screen and (max-width: 1112px) {
+  .l_header {
+    left: 0;
+    border-radius: 0;
+    -webkit-border-radius: 0;
+    max-width: 100%;
+  }
+}
+@media screen and (max-width: 500px) {
+  .l_header .container {
+    margin-left: 0;
+    margin-right: 0;
+  }
+  .l_header #wrapper .nav-main .title {
+    padding-left: 16px;
+    padding-right: 16px;
+  }
+  .l_header #wrapper .nav-sub {
+    width: 100%;
+  }
+  .l_header #wrapper .nav-sub .title {
+    overflow-y: scroll;
+    margin-top: 2px;
+    padding: 8px 16px;
+  }
+  .l_header #wrapper .switcher {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: -ms-flexbox /* TWEENER - IE 10 */;
+    display: -webkit-flex /* NEW - Chrome */;
+    display: flex /* NEW, Spec - Opera 12.1, Firefox 20+ */;
+    display: flex;
+    margin-right: 8px;
+  }
+  .l_header .menu {
+    display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+    display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+    display: none;
+  }
+}
+@media screen and (max-width: 500px) {
+  .list-v li {
+    max-width: 270px;
+  }
+}
+#u-search {
+  display: -webkit-box /* OLD - iOS 6-, Safari 3.1-6 */;
+  display: -moz-box /* OLD - Firefox 19- (buggy but mostly works) */;
+  display: none;
+  position: fixed;
+  top: 0;
+  left: 0;
+  width: 100%;
+  height: 100%;
+  padding: 60px 20px;
+  z-index: 1001;
+}
+@media screen and (max-width: 680px) {
+  #u-search {
+    padding: 0px;
+  }
+}
+@media screen and (prefers-color-scheme: dark) and (max-width: 500px) {
+  .l_header .m_search {
+    background: var(--color-site-bg) !important;
+  }
+}
+
+  </style>
+  <link rel="stylesheet" href="/css/style.css" media="print" onload="this.media='all';this.onload=null">
+  <noscript><link rel="stylesheet" href="/css/style.css"></noscript>
+    <script>
+      let userColorScheme=localStorage.getItem("color-scheme")
+      if(userColorScheme){
+        document.documentElement.setAttribute("color-scheme", userColorScheme);
+      }
+    </script>
+  
+<script>
+if (/*@cc_on!@*/false || (!!window.MSInputMethodContext && !!document.documentMode))
+    document.write(
+	'<style>'+
+		'html{'+
+			'overflow-x: hidden !important;'+
+			'overflow-y: hidden !important;'+
+		'}'+
+		'.kill-ie{'+
+			'text-align:center;'+
+			'height: 100%;'+
+			'margin-top: 15%;'+
+			'margin-bottom: 5500%;'+
+		'}'+
+    '.kill-t{'+
+      'font-size: 2rem;'+
+    '}'+
+    '.kill-c{'+
+      'font-size: 1.2rem;'+
+    '}'+
+		'#l_header,#l_body{'+
+			'display: none;'+
+		'}'+
+	'</style>'+
+    '<div class="kill-ie">'+
+        `<span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>`+
+        `<span class="kill-c">Microsoft has terminated support for Internet Explorer (IE) 10 and earlier versions in 2016. <br/>There are great security risks to continue using it. Please use contemporary mainstream browsers to access.</span><br/>`+
+        `<a target="_blank" rel="noopener" href="https://blogs.windows.com/windowsexperience/2021/05/19/the-future-of-internet-explorer-on-windows-10-is-in-microsoft-edge/"><strong>Learn more ></strong></a>`+
+    '</div>');
+</script>
+
+
+<noscript>
+	<style>
+		html{
+			overflow-x: hidden !important;
+			overflow-y: hidden !important;
+		}
+		.kill-noscript{
+			text-align:center;
+			height: 100%;
+			margin-top: 15%;
+			margin-bottom: 5500%;
+		}
+    .kill-t{
+      font-size: 2rem;
+    }
+    .kill-c{
+      font-size: 1.2rem;
+    }
+		#l_header,#l_body{
+			display: none;
+		}
+	</style>
+    <div class="kill-noscript">
+        <span class="kill-t"><b>Sorry, your browser cannot access this site</b></span><br/>
+        <span class="kill-c">This page requires browser support (enable) JavaScript</span><br/>
+        <a target="_blank" rel="noopener" href="https://www.baidu.com/s?wd=启用JavaScript"><strong>Learn more ></strong></a>
+    </div>
+</noscript>
+
+
+  <script>
+  /************这个文件存放不需要重载的全局变量和全局函数*********/
+  window.volantis = {}; // volantis 全局变量
+  volantis.debug = "false"; // 调试模式
+  volantis.dom = {}; // 页面Dom see: /source/js/app.js etc.
+  /******************** volantis.dom.$ ********************************/
+  // 注：这里没有选择器，也没有forEach一次只处理一个dom，这里重新封装主题常用的dom方法，返回的是dom对象，对象包含了以下方法，同时保留dom的原生API
+  function volantisDom(ele) {
+    if (!ele) ele = document.createElement("div")
+    this.ele = ele;
+    // ==============================================================
+    this.ele.find = (c) => {
+      let q = this.ele.querySelector(c)
+      if (q)
+        return new volantisDom(q)
+    }
+    // ==============================================================
+    this.ele.hasClass = (c) => {
+      return this.ele.className.match(new RegExp('(\\s|^)' + c + '(\\s|$)'));
+    }
+    this.ele.addClass = (c) => {
+      this.ele.classList.add(c);
+      return this.ele
+    }
+    this.ele.removeClass = (c) => {
+      this.ele.classList.remove(c);
+      return this.ele
+    }
+    this.ele.toggleClass = (c) => {
+      if (this.ele.hasClass(c)) {
+        this.ele.removeClass(c)
+      } else {
+        this.ele.addClass(c)
+      }
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.on = (c, f) => {
+      this.ele.addEventListener(c, f, false)
+      return this.ele
+    }
+    this.ele.click = (f, r) => {
+      this.ele.on("click", f, r)
+      return this.ele
+    }
+    this.ele.scroll = (f, r) => {
+      this.ele.on("scroll", f, r)
+      return this.ele
+    }
+    // ==============================================================
+    this.ele.html = (c) => {
+      // if(c=== undefined){
+      //   return this.ele.innerHTML
+      // }else{
+      this.ele.innerHTML = c
+      return this.ele
+      // }
+    }
+    // ==============================================================
+    this.ele.hide = (c) => {
+      this.ele.style.display = "none"
+      return this.ele
+    }
+    this.ele.show = (c) => {
+      this.ele.style.display = "block"
+      return this.ele
+    }
+    // ==============================================================
+    return this.ele
+  }
+  volantis.dom.$ = (ele) => {
+    return !!ele ? new volantisDom(ele) : null;
+  }
+  /******************** RunItem ********************************/
+  function RunItem() {
+    this.list = []; // 存放回调函数
+    this.start = () => {
+      for (var i = 0; i < this.list.length; i++) {
+        this.list[i].run();
+      }
+    };
+    this.push = (fn, name, setRequestAnimationFrame = true) => {
+      let myfn = fn
+      if (setRequestAnimationFrame) {
+        myfn = () => {
+          volantis.requestAnimationFrame(fn)
+        }
+      }
+      var f = new Item(myfn, name);
+      this.list.push(f);
+    };
+    this.remove = (name) => {
+      for (let index = 0; index < this.list.length; index++) {
+        const e = this.list[index];
+        if (e.name == name) {
+          this.list.splice(index, 1);
+        }
+      }
+    }
+    // 构造一个可以run的对象
+    function Item(fn, name) {
+      // 函数名称
+      this.name = name || fn.name;
+      // run方法
+      this.run = () => {
+        try {
+          fn()
+        } catch (error) {
+          console.log(error);
+        }
+      };
+    }
+  }
+  /******************** RightMenu ********************************/
+  // volantis.rightmenu.handle(callBack[,"callBackName"]) 外部菜单项控制
+  // 可在 volantis.mouseEvent 处获取右键事件
+  volantis.rightmenu = {};
+  volantis.rightmenu.method = {
+    handle: new RunItem(),
+  }
+  volantis.rightmenu = Object.assign(volantis.rightmenu, {
+    handle: volantis.rightmenu.method.handle.push,
+  });
+  /********************  Dark Mode  ********************************/
+  // /layout/_partial/scripts/darkmode.ejs
+  // volantis.dark.mode 当前模式 dark or light
+  // volantis.dark.toggle() 暗黑模式触发器
+  // volantis.dark.push(callBack[,"callBackName"]) 传入触发器回调函数
+  volantis.dark = {};
+  volantis.dark.method = {
+    toggle: new RunItem(),
+  };
+  volantis.dark = Object.assign(volantis.dark, {
+    push: volantis.dark.method.toggle.push,
+  });
+  /********************  Message  ********************************/
+  // VolantisApp.message
+  /********************  isMobile  ********************************/
+  // /source/js/app.js
+  // volantis.isMobile
+  // volantis.isMobileOld
+  /********************脚本动态加载函数********************************/
+  // volantis.js(src, cb)  cb 可以传入onload回调函数 或者 JSON对象 例如: volantis.js("src", ()=>{}) 或 volantis.js("src", {defer:true,onload:()=>{}})
+  // volantis.css(src)
+
+  // 返回Promise对象，如下方法同步加载资源，这利于处理文件资源之间的依赖关系，例如：APlayer 需要在 MetingJS 之前加载
+  // (async () => {
+  //     await volantis.js("...theme.plugins.aplayer.js.aplayer...")
+  //     await volantis.js("...theme.plugins.aplayer.js.meting...")
+  // })();
+
+  // 已经加入了setTimeout
+  volantis.js = (src, cb) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var HEAD = document.getElementsByTagName("head")[0] || document.documentElement;
+        var script = document.createElement("script");
+        script.setAttribute("type", "text/javascript");
+        if (cb) {
+          if (JSON.stringify(cb)) {
+            for (let p in cb) {
+              if (p == "onload") {
+                script[p] = () => {
+                  cb[p]()
+                  resolve()
+                }
+              } else {
+                script[p] = cb[p]
+                script.onload = resolve
+              }
+            }
+          } else {
+            script.onload = () => {
+              cb()
+              resolve()
+            };
+          }
+        } else {
+          script.onload = resolve
+        }
+        script.setAttribute("src", src);
+        HEAD.appendChild(script);
+      });
+    });
+  }
+  volantis.css = (src) => {
+    return new Promise(resolve => {
+      setTimeout(function () {
+        var link = document.createElement('link');
+        link.rel = "stylesheet";
+        link.href = src;
+        link.onload = resolve;
+        document.getElementsByTagName("head")[0].appendChild(link);
+      });
+    });
+  }
+  /********************按需加载的插件********************************/
+  // volantis.import.jQuery().then(()=>{})
+  volantis.import = {
+    jQuery: () => {
+      if (typeof jQuery == "undefined") {
+        return volantis.js("https://cdn.bootcdn.net/ajax/libs/jquery/3.7.1/jquery.min.js")
+      } else {
+        return new Promise(resolve => {
+          resolve()
+        });
+      }
+    }
+  }
+  /********************** requestAnimationFrame ********************************/
+  // 1、requestAnimationFrame 会把每一帧中的所有 DOM 操作集中起来，在一次重绘或回流中就完成，并且重绘或回流的时间间隔紧紧跟随浏览器的刷新频率，一般来说，这个频率为每秒60帧。
+  // 2、在隐藏或不可见的元素中，requestAnimationFrame 将不会进行重绘或回流，这当然就意味着更少的的 cpu，gpu 和内存使用量。
+  volantis.requestAnimationFrame = (fn) => {
+    if (!window.requestAnimationFrame) {
+      window.requestAnimationFrame = window.requestAnimationFrame || window.mozRequestAnimationFrame || window.webkitRequestAnimationFrame;
+    }
+    window.requestAnimationFrame(fn)
+  }
+  /************************ layoutHelper *****************************************/
+  volantis.layoutHelper = (helper, html, opt) => {
+    opt = Object.assign({ clean: false}, opt)
+    function myhelper(helper, html, clean) {
+      volantis.tempDiv = document.createElement("div");
+      volantis.tempDiv.innerHTML = html;
+      let layoutHelper = document.querySelector("#layoutHelper-" + helper)
+      if (layoutHelper) {
+        if (clean) {
+          layoutHelper.innerHTML = ""
+        }
+        layoutHelper.append(volantis.tempDiv);
+      }
+    }
+    myhelper(helper, html, opt.clean)
+  }
+  /****************************** 滚动事件处理 ****************************************/
+  volantis.scroll = {
+    engine: new RunItem(),
+    unengine: new RunItem(),
+  };
+  volantis.scroll = Object.assign(volantis.scroll, {
+    push: volantis.scroll.engine.push,
+  });
+  // 滚动条距离顶部的距离
+  volantis.scroll.getScrollTop = () => {
+    let scrollPos;
+    if (window.pageYOffset) {
+      scrollPos = window.pageYOffset;
+    } else if (document.compatMode && document.compatMode != 'BackCompat') {
+      scrollPos = document.documentElement.scrollTop;
+    } else if (document.body) {
+      scrollPos = document.body.scrollTop;
+    }
+    return scrollPos;
+  }
+  volantis.scroll.scrollHeight = function () {
+    return Math.max(
+      document.body.scrollHeight,
+      document.documentElement.scrollHeight,
+    )
+  }
+  volantis.scroll.offsetHeight = function () {
+    return Math.max(
+      document.body.offsetHeight,
+      document.documentElement.offsetHeight,
+      document.body.clientHeight,
+      document.documentElement.clientHeight
+    )
+  }
+  volantis.scroll.progress = function () {
+    return volantis.scroll.getScrollTop() / (volantis.scroll.scrollHeight() - volantis.scroll.offsetHeight())
+  }
+  // 使用 requestAnimationFrame 处理滚动事件
+  // `volantis.scroll.del` 中存储了一个数值, 该数值检测一定时间间隔内滚动条滚动的位移, 数值的检测频率是浏览器的刷新频率. 数值为正数时, 表示向下滚动. 数值为负数时, 表示向上滚动.
+  volantis.scroll.handleScrollEvents = () => {
+    volantis.scroll.lastScrollTop = volantis.scroll.getScrollTop()
+    function loop() {
+      const scrollTop = volantis.scroll.getScrollTop();
+      if (volantis.scroll.lastScrollTop !== scrollTop) {
+        volantis.scroll.del = scrollTop - volantis.scroll.lastScrollTop;
+        volantis.scroll.lastScrollTop = scrollTop;
+        // if (volantis.scroll.del > 0) {
+        //   console.log("向下滚动");
+        // } else {
+        //   console.log("向上滚动");
+        // }
+        // 注销过期的unengine未滚动事件
+        volantis.scroll.unengine.list = []
+        volantis.scroll.engine.start();
+      } else {
+        volantis.scroll.unengine.start();
+      }
+      volantis.requestAnimationFrame(loop)
+    }
+    volantis.requestAnimationFrame(loop)
+  }
+  volantis.scroll.handleScrollEvents()
+  volantis.scroll.ele = null;
+  // 触发页面滚动至目标元素位置
+  volantis.scroll.to = (ele, option = {}) => {
+    if (!ele) return;
+    volantis.scroll.ele = ele;
+    // 默认配置
+    opt = {
+      top: ele.getBoundingClientRect().top + document.documentElement.scrollTop,
+      behavior: "smooth"
+    }
+    // 定义配置
+    if ("top" in option) {
+      opt.top = option.top
+    }
+    if ("behavior" in option) {
+      opt.behavior = option.behavior
+    }
+    if ("addTop" in option) {
+      opt.top += option.addTop
+    }
+    if (!("observerDic" in option)) {
+      option.observerDic = 100
+    }
+    // 滚动
+    window.scrollTo(opt);
+    // 监视器
+    // 监视并矫正元素滚动到指定位置
+    // 用于处理 lazyload 引起的 cls 导致的定位失败问题
+    // option.observer = false
+    if (option.observer) {
+      setTimeout(() => {
+        if (volantis.scroll.ele != ele) {
+          return
+        }
+        volantis.scroll.unengine.push(() => {
+          let me = ele.getBoundingClientRect().top
+          if (!(me >= -option.observerDic && me <= option.observerDic)) {
+            volantis.scroll.to(ele, option)
+          }
+          volantis.scroll.unengine.remove("unengineObserver")
+        }, "unengineObserver")
+      }, 1000)
+    }
+  }
+  /********************** Content Visibility ********************************/
+  // 见 source/css/first.styl 如果遇到任何问题 删除 .post-story 即可
+  // 一个元素被声明 content-visibility 属性后 如果元素不在 viewport 中 浏览器不会计算其后代元素样式和属性 从而节省 Style & Layout 耗时
+  // content-visibility 的副作用: 锚点失效 等等(实验初期 暂不明确), 使用此方法清除样式
+  volantis.cleanContentVisibility = () => {
+    if (document.querySelector(".post-story")) {
+      console.log("cleanContentVisibility");
+      document.querySelectorAll(".post-story").forEach(e => {
+        e.classList.remove("post-story")
+      })
+    }
+  }
+  /******************************************************************************/
+  /******************************************************************************/
+  /******************************************************************************/
+  //图像加载出错时的处理
+  function errorImgAvatar(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg";
+    img.onerror = null;
+  }
+  function errorImgCover(img) {
+    img.src = "https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg";
+    img.onerror = null;
+  }
+  /******************************************************************************/
+</script>
+
+<script>
+  window.pdata={}
+  pdata.ispage=true;
+  pdata.commentPath="";
+  pdata.commentPlaceholder="";
+  pdata.commentConfig={};
+  volantis.GLOBAL_CONFIG ={
+    root: '/',
+    debug: false,
+    default: {"avatar":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/avatar/round/3442075.svg","link":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/link/8f277b4ee0ecd.svg","cover":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/cover/76b86c0226ffd.svg","image":"https://unpkg.com/volantis-static@0.0.1660614606622/media/placeholder/image/2659360.svg"},
+    lastupdate: new Date(1708073304388),
+    cdn: {
+      izitoast_css: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/css/iziToast.min.css',
+      izitoast_js: 'https://cdn.bootcdn.net/ajax/libs/izitoast/1.4.0/js/iziToast.min.js',
+      fancybox_css: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.min.css',
+      fancybox_js: 'https://cdn.bootcdn.net/ajax/libs/fancyapps-ui/5.0.33/fancybox/fancybox.umd.min.js'
+    },
+    sidebar: {
+      for_page: ["qgroup","post","category","guide","blogger"],
+      for_post: ["toc"],
+      webinfo: {
+        lastupd: {
+          enable: true,
+          friendlyShow: true
+        },
+        runtime: {
+          data: "2020/01/01",
+          unit: "天"
+        }
+      }
+    },
+    plugins: {
+      message: {"enable":true,"icon":{"default":"fa-light fa-info-circle light-blue","quection":"fa-light fa-question-circle light-blue"},"time":{"default":5000,"quection":20000},"position":"topRight","transitionIn":"bounceInLeft","transitionOut":"fadeOutRight","titleColor":"var(--color-text)","messageColor":"var(--color-text)","backgroundColor":"var(--color-card)","zindex":2147483647,"copyright":{"enable":false,"title":"知识共享许可协议","message":"请遵守 CC BY-NC-SA 4.0 协议。","icon":"fa-brands fa-creative-commons light-blue"},"aplayer":{"enable":true,"play":"fa-light fa-play light-blue","pause":"fa-light fa-pause light-blue","error":"fa-light fa-exclamation-square red"},"rightmenu":{"enable":true,"notice":true}},
+      
+      aplayer: {
+        id: 8416045336,
+        enable:true
+      },
+      
+      
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+            
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+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
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+                
+                  <ul class="list-v">
+                    
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+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
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+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                    active-action="action-https:githubcomvolantis-xhexo-theme-volantis"
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+                  <i class='fa-solid fa-code-branch fa-fw'></i>主题源码
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+            
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+                    
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+                
+              </li>
+            
+          
+          
+				</ul>
+			</div>
+      
+      <div class="m_search">
+        <form name="searchform" class="form u-search-form">
+          <i class="icon fa-solid fa-search fa-fw"></i>
+          <input type="text" class="input u-search-input" placeholder="Search..." />
+        </form>
+      </div>
+      
+
+			<ul class='switcher nav-list-h m-phone'>
+				
+					<li><a class="s-search fa-solid fa-search fa-fw" target="_self" title="search"></a></li>
+				
+				<li>
+          <a class="s-menu fa-solid fa-bars fa-fw" target="_self" title="menu"></a>
+          <ul class="menu-phone list-v navigation white-box">
+            
+              
+            
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+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  
+                  
+                  
+                    active-action="action-dcdoujin"
+                  >
+                  <i class='fa-solid fa-video-camera fa-fw'></i>DC Doujin
+                </a>
+                
+              </li>
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+          
+            
+              
+            
+              <hr>
+            
+          
+            
+              
+            
+              <li>
+                <a class="menuitem flat-box faa-parent animated-hover"
+                 title="更多"
+                  
+                  
+                  >
+                  <i class='fa-solid fa-ellipsis-h fa-fw'></i>更多
+                </a>
+                
+                  <ul class="list-v">
+                    
+                      
+            
+              <li>
+                <a class="menuitem flat-box header toggle-mode-btn">
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+            
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+                    
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+              <li>
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+                  
+                  
+                  
+                    active-action="action-https:githubcomJustPureH2Ojustpureh2ogithubio"
+                  >
+                  <i class='fa-solid fa-code fa-fw'></i>本站源码
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+                <a class="menuitem flat-box faa-parent animated-hover"
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+                  >
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+      <!-- Custom Files header end -->
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+  </div>
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+
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+      <div id="l_cover">
+  
+</div>
+
+      <div id="safearea">
+        <div class="body-wrapper">
+          
+<div id="l_main" class=''>
+  <article itemscope itemtype="http://schema.org/Article" class="article post white-box reveal md shadow floatable blur article-type-post" id="post" itemscope itemprop="blogPost">
+  <link itemprop="mainEntityOfPage" href="https://justpureh2o.github.io/thanks/">
+  <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
+    <meta itemprop="name" content="JustPureH2O的博客">
+  </span>
+  <span hidden itemprop="post" itemscope itemtype="http://schema.org/Post">
+    <meta itemprop="name" content="JustPureH2O的博客">
+    <meta itemprop="description" content="JustPureH2O的小窝">
+  </span>
+  
+
+
+  
+    <div class='headimg-div'>
+      <a class='headimg-a'>
+        <img itemprop="image" class='headimg' src='https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg'/>
+      </a>
+    </div>
+  
+  <div class="article-meta" id="top">
+    
+    
+    
+      <h1 class="title" itemprop="name headline">
+        一命已出，前来还愿
+      </h1>
+      <div class='new-meta-box'>
+        
+          
+            
+<div class='new-meta-item author' itemprop="author" itemscope itemtype="http://schema.org/Person">
+  <a itemprop="url" class='author' target="_blank" href="https://github.com/volantis-x/" rel="nofollow noopener">
+    <img itemprop="image" src="https://cdn.luogu.com.cn/upload/usericon/612722.png" class="lazyload" data-srcset="https://cdn.luogu.com.cn/upload/usericon/612722.png" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==">
+    <p itemprop="name">JustPureH2O</p>
+  </a>
+</div>
+
+          
+        
+          
+            
+
+
+          
+        
+          
+            <div class="new-meta-item date" itemprop="dateCreated datePublished" datetime="2023-11-12T09:42:41+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-calendar-alt fa-fw" aria-hidden="true"></i>
+    <p>发布于：Nov 12, 2023</p>
+  </a>
+</div>
+
+          
+        
+        <!-- Custom Files topMeta begin-->
+        
+        <!-- Custom Files topMeta end-->
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+
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+  <div id="layoutHelper-page-plugins"></div>
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+    <figure>
+<img src="https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg" class="lazyload" data-srcset="https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg" srcset="data:image/gif;base64,R0lGODlhAQABAIAAAP///////yH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==" alt="2023.11.11 21:10">
+<figcaption aria-hidden="true">2023.11.11 21:10</figcaption>
+</figure>
+<link rel="stylesheet" href="/css/collapsible.css" type="text/css"><script src="/js/collapsible.js" type="text/javascript" async></script>
+
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+  
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+    
+    <div class='footer'>
+       <!-- 参考资料、相关资料等 -->
+      
+       <!-- 相关文章 -->
+      
+      <!-- 版权声明组件 -->
+      
+      <!-- 打赏组件 -->
+      
+    </div>
+  
+  
+    
+
+
+  <div class='article-meta' id="bottom">
+    <div class='new-meta-box'>
+      
+        
+          <div class="new-meta-item date" itemprop="dateModified" datetime="2024-02-16T08:47:56+00:00">
+  <a class='notlink'>
+    <i class="fa-solid fa-edit fa-fw" aria-hidden="true"></i>
+    <p>本页文档最后更新于：Feb 16, 2024</p>
+  </a>
+</div>
+
+        
+      
+        
+          
+  
+  
+  
+  <div class="new-meta-item meta-tags"><a class="tag" href="/tags/%E5%8E%9F%E7%A5%9E/" rel="nofollow"><i class="fa-solid fa-hashtag fa-fw" aria-hidden="true"></i><p>原神</p></a></div>
+  <span hidden itemprop="keywords">原神</span>
+  
+
+
+        
+      
+        
+          
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+          
+          target="_blank" href="http://connect.qq.com/widget/shareqq/index.html?url=https://justpureh2o.github.io/thanks/&title=一命已出，前来还愿 - JustPureH2O的博客&summary="
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+          
+        </a>
+      
+    
+      
+        <a class="-mob-share-qzone" title="" rel="external nofollow noopener noreferrer noopener"
+          
+          target="_blank" href="https://sns.qzone.qq.com/cgi-bin/qzshare/cgi_qzshare_onekey?url=https://justpureh2o.github.io/thanks/&title=一命已出，前来还愿 - JustPureH2O的博客&summary="
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+          
+          >
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+          
+        </a>
+      
+    
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+    
+      
+    
+  </div>
+</div>
+
+
+
+        
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+    </div>
+    <!-- Custom Files bottomMeta begin -->
+    
+    <!-- Custom Files bottomMeta end -->
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+        <a class='prev' href='/number-theory-junior/'>
+          <p class='title'><i class="fa-solid fa-chevron-left" aria-hidden="true"></i>信竞初等数论导论</p>
+          <p class='content'>
+引入
+如果说数论是数学体系中专门用来研究数字性质的一个分支，那么初等数论则是对整数的性质进行系统性的探讨与研究。千万不要因为其中的“初等”二字小瞧这初等数论尽管名称和学习难度上都没有高等数论那...</p>
+        </a>
+      
+      
+        <a class='next' href='/latex-symbols/'>
+          <p class='title'>Latex常用符号大全<i class="fa-solid fa-chevron-right" aria-hidden="true"></i></p>
+          <p class='content'>Part1. 运算符
+Div1. 基本运算
+加号：，键盘上有
+减号：，键盘上有
+乘号（叉乘）:  \times
+乘号（数量积/点乘）：
+\cdot
+除号： \div
+开方/N次方根：
+\sqrt...</p>
+        </a>
+      
+    </div>
+  
+  <!-- 文章推荐 -->
+  
+  
+  <!-- Custom Files postEnd begin-->
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+  <!-- Custom Files postEnd end-->
+</article>
+
+
+  
+
+  
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+
+  <div id="lv-container" data-id="city" data-uid="MTAyMC81OTUxMS8zNTk3Mw==">
+	<script type="text/javascript">
+   (function(d, s) {
+       var j, e = d.getElementsByTagName(s)[0];
+
+       if (typeof LivereTower === 'function') { return; }
+
+       j = d.createElement(s);
+       j.src = 'https://cdn-city.livere.com/js/embed.dist.js';
+       j.async = true;
+
+       e.parentNode.insertBefore(j, e);
+   })(document, 'script');
+	</script>
+<noscript> 为正常使用来必力评论功能请激活JavaScript</noscript>
+</div>
+</div>
+<aside id='l_side' itemscope itemtype="http://schema.org/WPSideBar">
+  
+
+  
+    
+    
+      
+    
+  
+
+
+<div class="widget-sticky">
+
+  
+  
+
+
+<section class="widget toc-wrapper desktop mobile" id="toc-div" >
+  
+  <header>
+    
+      <i class="fa-solid fa-list fa-fw" aria-hidden="true"></i><span class='name'>本文目录</span>
+    
+  </header>
+
+
+  <div class='content'>
+      
+  </div>
+</section>
+
+  
+
+</div>
+
+  <!-- Custom Files side begin -->
+  
+  <!-- Custom Files side end -->
+</aside>
+
+
+
+        </div>
+        
+  
+  <footer class="footer clearfix"  itemscope itemtype="http://schema.org/WPFooter">
+    <br><br>
+    
+      
+        <div class="aplayer-container">
+          
+
+  
+    
+      <meting-js
+        theme='#1BCDFC'
+        autoplay='false'
+        volume='0.4'
+        loop='all'
+        order='random'
+        fixed='false'
+        list-max-height='320px'
+        server='netease'
+        type='playlist'
+        id='8416045336'
+        list-folded='true'>
+      </meting-js>
+    
+  
+
+
+        </div>
+      
+    
+      
+        <br>
+        <div class="social-wrapper" itemprop="about" itemscope itemtype="http://schema.org/Thing">
+          
+            
+              <a href="https://github.com/JustPureH2O"
+                class="social fab fa-github flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+            
+              <a href="mailto:justpureh2o@outlook.com"
+                class="social fa-solid fa-envelope flat-btn"
+                target="_blank"
+                rel="external nofollow noopener noreferrer" itemprop="url">
+                
+              </a>
+            
+          
+        </div>
+      
+    
+      
+        Use
+        <a href="https://github.com/volantis-x/hexo-theme-volantis/#6.0.0-alpha.1" target="_blank" class="codename">Volantis</a>
+        as theme, total visits
+          <span id="busuanzi_value_site_pv"><i class="fa-solid fa-loader fa-spin fa-fw" aria-hidden="true"></i></span>
+          times
+        
+      
+    
+      
+        <div><p>Blog content follows the <a
+target="_blank" rel="noopener" href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en">Attribution-NonCommercial-ShareAlike
+4.0 International (CC BY-NC-SA 4.0) License</a></p>
+</div>
+      
+    
+      
+        <div class='copyright'>
+        <p><a target="_blank" rel="noopener" href="https://github.com/JustPureH2O">Copyright © Since 2023
+JustPureH2O</a></p>
+
+        </div>
+      
+    
+    <!-- Custom Files footer begin-->
+    
+    <!-- Custom Files footer end-->
+  </footer>
+
+
+        <a id="s-top" class="fa-solid fa-arrow-up fa-fw" title="top"></a>
+      </div>
+    </div>
+    <div>
+      <script>
+  /******************** volantis.dom ********************************/
+  // 页面选择器 将dom对象缓存起来 see: /source/js/app.js etc.
+  volantis.dom.bodyAnchor = volantis.dom.$(document.getElementById("safearea")); // 页面主体
+  volantis.dom.topBtn = volantis.dom.$(document.getElementById('s-top')); // 向上
+  volantis.dom.wrapper = volantis.dom.$(document.getElementById('wrapper')); // 整个导航栏
+  volantis.dom.coverAnchor = volantis.dom.$(document.querySelector('#l_cover .cover-wrapper')); // 1个
+  volantis.dom.switcher = volantis.dom.$(document.querySelector('#l_header .switcher .s-search')); // 搜索按钮   移动端 1个
+  volantis.dom.header = volantis.dom.$(document.getElementById('l_header')); // 移动端导航栏
+  volantis.dom.search = volantis.dom.$(document.querySelector('#l_header .m_search')); // 搜索框 桌面端 移动端 1个
+  volantis.dom.mPhoneList = volantis.dom.$(document.querySelectorAll('#l_header .m-phone .list-v')); //  手机端 子菜单 多个
+</script>
+
+<script>
+  
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/font-awesome/6.5.1/css/all.min.css");
+  
+  
+  
+</script>
+
+<!-- required -->
+
+
+<!-- internal -->
+
+<script src="/js/app.js"></script>
+
+
+
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+<div id="rightmenu-wrapper">
+  <ul class="list-v rightmenu" id="rightmenu-content">
+    
+  <li class='navigation menuNavigation-Content'>
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.back()"><i class="fa-solid fa-arrow-left PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="history.forward()"><i class="fa-solid fa-arrow-right PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="window.location.reload()"><i class="fa-solid fa-redo-alt PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" href="/"><i class="fa-solid fa-home PETERRIVE fa-fw"></i></a>
+
+
+
+    <a class="nav icon-only fix-cursor-default" onclick="VolantisApp.scrolltoElement(volantis.dom.bodyAnchor)"><i class="fa-solid fa-arrow-up PETERRIVE fa-fw"></i></a>
+
+
+  </li>
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyPaste" data-event="copyPaste" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-paste fa-fw"></i>
+      粘贴文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyAll" data-event="copyAll" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-object-ungroup fa-fw"></i>
+      全选文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyCut" data-event="copyCut" data-group="inputBox">
+      <i class="fa-solid PETERRIVE fa-cut fa-fw"></i>
+      剪切文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyText" data-event="copyText" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-copy fa-fw"></i>
+      复制文本
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="searchWord" data-event="OpenSearch(__text__)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      站内搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="bingSearch" data-event="window.open(`https://cn.bing.com/search?q=${__text__}`)" data-group="seletctText">
+      <i class="fa-solid PETERRIVE fa-search fa-fw"></i>
+      必应搜索
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="openTab" data-event="window.open(__link__)" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-external-link-square-alt fa-fw"></i>
+      新标签页打开
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyLink" data-event="copyLink" data-group="elementCheck">
+      <i class="fa-solid PETERRIVE fa-link fa-fw"></i>
+      复制链接地址
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="copyImg" data-event="copyImg" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-image fa-fw"></i>
+      复制图片
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="googleImg" data-event="window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)" data-group="elementImage">
+      <i class="fa-solid PETERRIVE fa-images fa-fw"></i>
+      谷歌识图
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="prev" data-event="volantis.rightmenu.jump('prev')" data-group="prevNext">
+      <i class="fa-solid fa-angles-left PETERRIVE fa-fw"></i>
+      查看上一篇
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="next" data-event="volantis.rightmenu.jump('next')" data-group="prevNext">
+      <i class="fa-solid fa-angles-right PETERRIVE fa-fw"></i>
+      查看下一篇
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_docs" target="_blank" rel="noopener" href="https://github.com/JustPureH2O/justpureh2o.github.io" data-group="link">
+      <i class="fa-solid fa-code CONCRETE fa-fw"></i>
+      本站源码
+    </a>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <a class="vlts-menu fix-cursor-default" id="source_theme" target="_blank" rel="noopener" href="https://github.com/volantis-x/hexo-theme-volantis/" data-group="link">
+      <i class="fa-solid fa-code-branch CONCRETE fa-fw"></i>
+      主题源码
+    </a>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="darkMode" data-event="volantis.dark.toggle()" data-group="darkMode">
+      <i class="fa-solid fa-moon WISTERIA fa-fw"></i>
+      暗黑模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="printMode" data-event="printMode" data-group="articlePage">
+      <i class="fa-solid fa-print TURQUOISE fa-fw"></i>
+      打印页面
+    </span>
+  </li>
+
+
+
+  <li class="menuLoad-Content">
+    <span class="vlts-menu fix-cursor-default event" id="readMode" data-event="readMode" data-group="articlePage">
+      <i class="fa-solid fa-book-open EMERALD fa-fw"></i>
+      阅读模式
+    </span>
+  </li>
+
+
+
+    <hr class="menuLoad-Content" >
+
+
+<div id="menuMusic">
+  <li class='music name menuOption-Content'>
+    <p class='nav music-title fix-cursor-default'></p>
+  </li>
+  <li class='music ctrl'>
+    <a class='nav icon-only backward fix-cursor-default'  title="backward">
+      <i class='fa-solid PETERRIVE fa-step-backward fa-fw'></i>
+    </a>
+    <a class='nav icon-only toggle fix-cursor-default'  title="toggle">
+      <i class='fa-solid PETERRIVE fa-play fa-fw'></i>
+    </a>
+    <a class='nav icon-only forward fix-cursor-default'  title="forward">
+      <i class='fa-solid PETERRIVE fa-step-forward fa-fw'></i>
+    </a>
+  </li>
+  <li class='music volume'>
+    <div class='nav volume'>
+      <div class="aplayer-volume-bar-wrap">
+        <div class="aplayer-volume-bar fix-cursor-pointer">
+          <div class="aplayer-volume"></div>
+          <i class='left fa-solid PETERRIVE fa-volume-off fa-fw'></i>
+          <i class='right fa-solid PETERRIVE fa-volume-up fa-fw'></i>
+        </div>
+      </div>
+    </div>
+  </li>
+</div>
+
+  </ul>
+</div>
+<script src="/js/plugins/rightMenus.js"></script>
+<script>
+  const RightMenusFunction = {};
+  
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+  //RightMenusFunction['copyPaste'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyAll'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyCut'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyText'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['searchWord'] = (__text__) => {OpenSearch(__text__)}
+
+
+
+
+
+  RightMenusFunction['bingSearch'] = (__text__) => {window.open(`https://cn.bing.com/search?q=${__text__}`)}
+
+
+
+
+
+  RightMenusFunction['openTab'] = (__link__) => {window.open(__link__)}
+
+
+
+
+
+  //RightMenusFunction['copyLink'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['copyImg'] = (fun) => {fun()}
+
+
+
+
+
+  RightMenusFunction['googleImg'] = (__link__) => {window.open(`https://www.google.com/searchbyimage?image_url=${__link__}`)}
+
+
+
+
+
+
+
+  RightMenusFunction['prev'] = () => {volantis.rightmenu.jump('prev')}
+
+
+
+
+
+  RightMenusFunction['next'] = () => {volantis.rightmenu.jump('next')}
+
+
+
+
+
+
+
+
+
+
+
+
+
+  RightMenusFunction['darkMode'] = () => {volantis.dark.toggle()}
+
+
+
+
+
+
+
+  //RightMenusFunction['printMode'] = (fun) => {fun()}
+
+
+
+
+
+  //RightMenusFunction['readMode'] = (fun) => {fun()}
+
+
+
+
+
+
+
+</script>
+
+
+
+<!-- rightmenu要在darkmode之前（ToggleButton） darkmode要在comments之前（volantis.dark.push）-->
+
+  <script>
+const rootElement = document.documentElement;
+const darkModeStorageKey = "color-scheme";
+const rootElementDarkModeAttributeName = "color-scheme";
+const setLS = (k, v) => {
+    localStorage.setItem(k, v);
+};
+const removeLS = (k) => {
+    localStorage.removeItem(k);
+};
+const getLS = (k) => {
+    return localStorage.getItem(k);
+};
+const getModeFromCSSMediaQuery = () => {
+  return window.matchMedia("(prefers-color-scheme: dark)").matches
+    ? "dark"
+    : "light";
+};
+const resetRootDarkModeAttributeAndLS = () => {
+  rootElement.removeAttribute(rootElementDarkModeAttributeName);
+  removeLS(darkModeStorageKey);
+};
+const validColorModeKeys = {
+  dark: true,
+  light: true,
+};
+const applyCustomDarkModeSettings = (mode) => {
+  const currentSetting = mode || getLS(darkModeStorageKey);
+  getCustomDarkMode();
+  if (currentSetting === getModeFromCSSMediaQuery()) {
+    resetRootDarkModeAttributeAndLS();
+  } else if (validColorModeKeys[currentSetting]) {
+    rootElement.setAttribute(rootElementDarkModeAttributeName, currentSetting);
+  } else {
+    resetRootDarkModeAttributeAndLS();
+  }
+};
+const invertDarkModeObj = {
+  dark: "light",
+  light: "dark",
+};
+/**
+ * get target mode
+ */
+ const getCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  if(currentSetting=="dark"){
+    volantis.dark.mode="light";
+  }else{
+    volantis.dark.mode="dark";
+  }
+  // console.log(volantis.dark.mode)
+};
+const toggleCustomDarkMode = () => {
+  let currentSetting = getLS(darkModeStorageKey);
+  if (validColorModeKeys[currentSetting]) {
+    currentSetting = invertDarkModeObj[currentSetting];
+  } else if (currentSetting === null) {
+    currentSetting = invertDarkModeObj[getModeFromCSSMediaQuery()];
+  } else {
+    return;
+  }
+  setLS(darkModeStorageKey, currentSetting);
+  return currentSetting;
+};
+/**
+ * 暗黑模式触发器
+ */
+volantis.dark.toggle=()=>{
+  const mode = toggleCustomDarkMode();
+  applyCustomDarkModeSettings(mode);
+  // 使用 volantis.dark.push 方法传入volantis.dark.toggle回调函数 参见layout/_partial/scripts/global.ejs
+  volantis.dark.method.toggle.start();
+}
+/**
+ * bind event for toggle button
+ */
+
+function bindToggleButton() {
+  var btn= document.querySelectorAll("#wrapper .toggle-mode-btn,#rightmenu-wrapper .toggle-mode-btn")
+  btn.forEach(function (e) {
+    volantis.dom.$(e).on('click',volantis.dark.toggle);
+  })
+}
+applyCustomDarkModeSettings();
+document.addEventListener("DOMContentLoaded", ()=>{
+  volantis.requestAnimationFrame(bindToggleButton)
+});
+
+const darkModelListeners={
+  dark:(mediaQueryList )=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "dark";
+    }
+    volantis.dark.method.toggle.start();
+  },
+  light:(mediaQueryList)=>{
+    if(mediaQueryList.matches){
+      volantis.dark.mode = "light";
+    }
+    volantis.dark.method.toggle.start();
+  }
+}
+window.matchMedia('(prefers-color-scheme: dark)').addListener(darkModelListeners.dark)
+window.matchMedia('(prefers-color-scheme: light)').addListener(darkModelListeners.light)
+</script>
+
+
+
+
+<script>
+  function loadIssuesJS() {
+    
+      const sites_api = document.getElementById('sites-api');
+      if (sites_api != undefined && typeof SitesJS === 'undefined') {
+        volantis.js("/js/plugins/tags/sites.js")
+      }
+    
+    
+      const friends_api = document.getElementById('friends-api');
+      if (friends_api != undefined && typeof FriendsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/friends.js")
+      }
+    
+    
+      const contributors_api = document.getElementById('contributors-api');
+      if (contributors_api != undefined && typeof ContributorsJS === 'undefined') {
+        volantis.js("/js/plugins/tags/contributors.js")
+      }
+    
+  };
+  loadIssuesJS()
+</script>
+
+
+
+
+  <script defer src="https://cdn.bootcdn.net/ajax/libs/vanilla-lazyload/17.8.5/lazyload.min.js"></script>
+<script>
+  // https://www.npmjs.com/package/vanilla-lazyload
+  // Set the options globally
+  // to make LazyLoad self-initialize
+  window.lazyLoadOptions = {
+    elements_selector: ".lazyload",
+    threshold: 0
+  };
+  // Listen to the initialization event
+  // and get the instance of LazyLoad
+  window.addEventListener(
+    "LazyLoad::Initialized",
+    function (event) {
+      window.lazyLoadInstance = event.detail.instance;
+    },
+    false
+  );
+  document.addEventListener('DOMContentLoaded', function () {
+    lazyLoadInstance.update();
+  });
+</script>
+
+
+
+
+  
+
+<script>
+  window.FPConfig = {
+	delay: 0,
+	ignoreKeywords: ["#"],
+	maxRPS: 6,
+	hoverDelay: 0
+  };
+</script>
+<script defer src="https://unpkg.com/volantis-static@0.0.1660614606622/libs/flying-pages/flying-pages.min.js"></script>
+
+
+
+
+
+   <script type="text/javascript">
+  function p_scrollrebeal() {
+    ScrollReveal().reveal("#l_main .reveal", {
+      distance: "32px",
+      duration: "800",
+      interval: "20",
+      scale: "1",
+      easing: "ease-out",
+    });
+  }
+  function init_scrollrebeal() {
+    if (typeof ScrollReveal == "undefined") {
+      volantis.requestAnimationFrame(init_scrollrebeal);
+    } else {
+      p_scrollrebeal();
+    }
+  }
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/scrollReveal.js/4.0.9/scrollreveal.min.js");
+  document.addEventListener("DOMContentLoaded", init_scrollrebeal)
+</script>
+
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.css");
+
+  
+    (async () => {
+      // APlayer 需要在  MetingJS 之前加载
+      await volantis.js("https://cdn.bootcdn.net/ajax/libs/aplayer/1.10.1/APlayer.min.js")
+      await volantis.js("https://unpkg.com/meting@2.0.1/dist/Meting.min.js")
+    
+      // 右键 music 需要在 APlayer  MetingJS 之后加载
+      await volantis.js('/js/plugins/aplayer.js')
+    
+    })();
+
+    function SetAPlayerPlugin(){
+      let Metings = document.querySelectorAll('meting-js');
+      if (Metings.length === 0) {return;};
+      if (Metings[0].aplayer && Metings[0].aplayer.on) {
+        // improve the accessibility https://web.dev/button-name/
+        document.querySelectorAll(".aplayer-icon-menu").forEach(e=>{
+          e.setAttribute("aria-label","Aplayer Menu")
+        })
+        // message see: /layout/_plugins/message/script.ejs
+        
+          try {
+            setTimeout(() => {
+              Metings.forEach((item, index) => {
+                const aplayerItem = item.aplayer; if(!aplayerItem) return;
+                const rightAplayerCheck = 'true' === 'true'
+                  && item.meta.id === '8416045336';
+                if(rightAplayerCheck && typeof RightMenuAplayer !="undefined") RightMenuAplayer.checkAPlayer();
+                if(aplayerItem.events.events.play.every(item => {return item.name !== 'messagePlay'})) {
+                  aplayerItem.on('play', function messagePlay() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                        icon: 'fa-light fa-play light-blue',
+                        transitionIn: 'flipInX',
+                        transitionOut: 'flipOutX'
+                      });
+                    }, 100)
+                  });
+                }
+                if(aplayerItem.events.events.pause.every(item => {return item.name !== 'messagePause'})) {
+                  aplayerItem.on('pause', function messagePause() {
+                    let index = aplayerItem.list.index;
+                    let title = aplayerItem.list.audios[index].title;
+                    let artist = aplayerItem.list.audios[index].artist;
+                    setTimeout(() => {
+                      // 歌曲播放结束也会触发 pause 事件，为了避免错误提示，等待一会儿
+                      if(aplayerItem.paused) {
+                        VolantisApp.message('音乐通知', title + ' - ' + artist, {
+                          icon: 'fa-light fa-pause light-blue',
+                          transitionIn: 'flipInX',
+                          transitionOut: 'flipOutX'
+                        });
+                      }
+                    }, 100)
+                  });
+                }
+              });
+            }, 500)
+          } catch (error) { console.error(error); }
+        
+      }else{
+        volantis.requestAnimationFrame(SetAPlayerPlugin)
+      }
+    }
+
+    document.addEventListener("DOMContentLoaded", ()=>{
+      SetAPlayerPlugin();
+    });
+  
+</script>
+
+
+
+
+
+
+
+
+  <script defer src="https://npm.elemecdn.com/penndu@1.0.0/bsz.js"></script>
+
+
+<!-- optional -->
+
+  <script>
+  async function loadSearchScript() {
+    
+        
+    
+    return volantis.js("/js/search/hexo.js");
+  }
+
+  function loadSearchService() {
+    loadSearchScript();
+    document.querySelectorAll(".input.u-search-input").forEach((e) => {
+      e.removeEventListener("focus", loadSearchService, false);
+    });
+
+    document.querySelectorAll(".u-search-form").forEach((e) => {
+      e.addEventListener("submit", (event) => {
+        event.preventDefault();
+      }, false);
+    });
+  }
+
+  // 打开并搜索 字符串 s
+  function OpenSearch(s) {
+    if (typeof SearchService === 'undefined')
+      loadSearchScript().then(() => {
+        SearchService.setQueryText(s);
+        SearchService.search();
+      });
+    else {
+      SearchService.setQueryText(s);
+      SearchService.search();
+    }
+  }
+
+  // 访问含有 ?s=xxx  的链接时打开搜索 // 与搜索引擎 structured data 相关: /scripts/helpers/structured-data/lib/config.js
+  if (window.location.search && /^\?s=/g.test(window.location.search)) {
+    let queryText = decodeURI(window.location.search)
+      .replace(/\ /g, "-")
+      .replace(/^\?s=/g, "");
+    OpenSearch(queryText);
+  }
+
+  // 搜索输入框获取焦点时加载搜索
+  document.querySelectorAll(".input.u-search-input").forEach((e) => {
+    e.addEventListener("focus", loadSearchService, false);
+  });
+</script>
+
+
+
+
+
+
+
+  <script>
+
+
+
+  function p_highlightjs_copyCode(){
+    if (!(document.querySelector(".highlight .code pre") ||
+      document.querySelector(".article pre code"))) {
+      return;
+    }
+    VolantisApp.utilCopyCode(".highlight .code pre, .article pre code")
+  }
+  volantis.requestAnimationFrame(p_highlightjs_copyCode)
+
+</script>
+
+
+
+
+
+
+
+
+  <script>
+  let imgs = ["https://pic.imgdb.cn/item/65cadda39f345e8d03bdbdcf.png","https://pic.imgdb.cn/item/65c9e3669f345e8d031d15fb.jpg","https://pic.imgdb.cn/item/6540c482c458853aef7f8b87.jpg","https://pic.imgdb.cn/item/65cafcdd9f345e8d030caa6d.png","https://pic.imgdb.cn/item/65c9e3679f345e8d031d1666.jpg","https://pic.imgdb.cn/item/65c9e1d99f345e8d031880fb.jpg","https://pic.imgdb.cn/item/65cadda19f345e8d03bdb814.png","https://pic.imgdb.cn/item/65c9e1289f345e8d03167448.png","https://pic.imgdb.cn/item/65cafc889f345e8d030bb9b7.png","https://pic.imgdb.cn/item/65c9e1cb9f345e8d031859ff.jpg","https://pic.imgdb.cn/item/65c9e1459f345e8d0316c9e9.png"];
+  let index = 0;
+  let IntervalParallax = null;
+
+  function parallax(){
+    let ParallaxWindow = document.querySelector("#parallax-window");
+    
+    Parallax.window = ParallaxWindow;
+    Parallax.options.fade = 1500;
+    Parallax.cache = 0;
+	next_parallax();
+    Parallax.init();
+	index++;
+	// 不要切图
+/*     if (imgs.length>1) {
+      IntervalParallax = setInterval(function () {
+        next_parallax();
+      }, '10000000');
+    } */
+  }
+
+  function next_parallax() {
+    if (typeof Parallax == "undefined") {
+      return
+    }
+    
+      if (!document.querySelector("#full")&&!document.querySelector("#half")) {
+        return
+      }
+    
+    if (imgs.length>=1) {
+	  Parallax.options.src = imgs[new Date().getTime() % imgs.length];
+      //Parallax.options.src = imgs[index % imgs.length];
+      Parallax.start();
+      index++;
+      if (Parallax.cache) {
+        fetch(imgs[index % imgs.length] +"?t=" + new Date().getTime());
+        if (index == imgs.length) {
+          Parallax.cache = 0;
+        }
+      }
+    }
+  }
+  var runningOnBrowser = typeof window !== "undefined";
+  var isBot = runningOnBrowser && !("onscroll" in window) || typeof navigator !== "undefined" && /(gle|ing|ro|msn)bot|crawl|spider|yand|duckgo/i.test(navigator.userAgent);
+  if (!isBot) {
+    volantis.js('/js/plugins/parallax.js').then(()=>{
+      parallax()
+    })
+  }
+</script>
+
+
+
+
+  <script>
+  function load_swiper() {
+    if (!document.querySelectorAll(".swiper-container")[0]) return;
+    volantis.css("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.css");
+    volantis.js("https://cdn.bootcdn.net/ajax/libs/Swiper/11.0.6/swiper-bundle.min.js").then(() => {
+      p_swiper();
+    });
+  }
+
+  load_swiper();
+
+  function p_swiper() {
+    volantis.swiper = new Swiper('.swiper-container', {
+      slidesPerView: 'auto',
+      spaceBetween: 8,
+      centeredSlides: true,
+      loop: true,
+      pagination: {
+        el: '.swiper-pagination',
+        clickable: true,
+      },
+      navigation: {
+        nextEl: '.swiper-button-next',
+        prevEl: '.swiper-button-prev',
+      },
+    });
+  }
+
+</script>
+
+
+
+  <script>
+  volantis.css("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/themes/blue/pace-theme-minimal.min.css");
+  volantis.js("https://cdn.bootcdn.net/ajax/libs/pace/1.2.4/pace.min.js").then(() => {
+    Pace.options.restartOnPushState = false;
+    // 阅读进度
+    volantis.scroll.push(() => {
+      Pace.stop();
+      Pace.trigger('start');
+      Pace.bar.update(volantis.scroll.progress() * 100);
+      document.body.className = document.body.className.replaceAll("pace-running ","");
+    },"阅读进度")
+    // todo：配置项开关, 哪些页面添加阅读进度
+  })
+</script>
+
+
+
+
+<script>
+  function listenSidebarTOC() {
+    const navItems = document.querySelectorAll(".toc li");
+    if (!navItems.length) return;
+    const targets = []
+    const sections = Array.from(navItems).forEach((element) => {
+      const link = element.querySelector(".toc-link");
+      const target = document.getElementById(
+        link.getAttribute("href") ? decodeURI(link.getAttribute("href")).replace("#", "") : link.getAttribute("toc-action").split("toc-")[1] // 兼容 hexo-blog-encrypt
+      );
+      targets.push(target)
+      // 解除 a 标签 href 的 锚点定位, a 标签 href 的 锚点定位 会随机启用?? 产生错位???
+      if (link.getAttribute("href")) {
+        link.setAttribute("toc-action", "toc-" + decodeURI(link.getAttribute("href")).replace("#", ""))
+        link.removeAttribute("href")
+      }
+      // 配置 点击 触发新的锚点定位
+      if (target && target.id) {
+        link.addEventListener("click", (event) => {
+          event.preventDefault();
+          // 这里的 addTop 是通过错位使得 toc 自动展开.
+          volantis.scroll.to(target, { addTop: 5, observer: true })
+          // Anchor id
+          history.pushState(null, document.title, "#" + target.id);
+        });
+      }
+      return target;
+    });
+
+    function activateNavByIndex(target) {
+      if (target.classList.contains("active-current")) return;
+
+      document.querySelectorAll(".toc .active").forEach((element) => {
+        element.classList.remove("active", "active-current");
+      });
+      target.classList.add("active", "active-current");
+      let parent = target.parentNode;
+      while (!parent.matches(".toc")) {
+        if (parent.matches("li")) parent.classList.add("active");
+        parent = parent.parentNode;
+      }
+    }
+
+    // 方案一：
+    volantis.activateNavIndex = 0
+    activateNavByIndex(navItems[volantis.activateNavIndex])
+    if (targets[0]) {
+      volantis.scroll.push(() => {
+        if (targets[0].getBoundingClientRect().top >= 0) {
+          volantis.activateNavIndex = 0
+        } else if (targets[targets.length - 1].getBoundingClientRect().top < 0) {
+          volantis.activateNavIndex = targets.length - 1
+        } else {
+          for (let index = 0; index < targets.length; index++) {
+            const target0 = targets[index];
+            const target1 = targets[(index + 1) % targets.length];
+            if (target0.getBoundingClientRect().top < 0 && target1.getBoundingClientRect().top >= 0) {
+              volantis.activateNavIndex = index
+              break;
+            }
+          }
+        }
+        activateNavByIndex(navItems[volantis.activateNavIndex])
+      })
+    }
+
+    // 方案二：
+    // IntersectionObserver 不是完美精确到像素级别 也不是低延时性的
+    // function findIndex(entries) {
+    //   let index = 0;
+    //   let entry = entries[index];
+    //   if (entry.boundingClientRect.top > 0) {
+    //     index = sections.indexOf(entry.target);
+    //     return index === 0 ? 0 : index - 1;
+    //   }
+    //   for (; index < entries.length; index++) {
+    //     if (entries[index].boundingClientRect.top <= 0) {
+    //       entry = entries[index];
+    //     } else {
+    //       return sections.indexOf(entry.target);
+    //     }
+    //   }
+    //   return sections.indexOf(entry.target);
+    // }
+    // function createIntersectionObserver(marginTop) {
+    //   marginTop = Math.floor(marginTop + 10000);
+    //   let intersectionObserver = new IntersectionObserver(
+    //     (entries, observe) => {
+    //       let scrollHeight = document.documentElement.scrollHeight;
+    //       if (scrollHeight > marginTop) {
+    //         observe.disconnect();
+    //         createIntersectionObserver(scrollHeight);
+    //         return;
+    //       }
+    //       let index = findIndex(entries);
+    //       activateNavByIndex(navItems[index]);
+    //     }, {
+    //       rootMargin: marginTop + "px 0px -100% 0px",
+    //       threshold: 0,
+    //     }
+    //   );
+    //   sections.forEach((element) => {
+    //     element && intersectionObserver.observe(element);
+    //   });
+    // }
+    // createIntersectionObserver(document.documentElement.scrollHeight);
+  }
+
+  document.addEventListener("DOMContentLoaded", () => {
+    volantis.requestAnimationFrame(listenSidebarTOC)
+  });
+</script>
+
+
+
+
+  <script>
+  try {
+    // https://web.dev/content-visibility/
+    // https://www.caniuse.com/?search=content-visibility
+    // https://infrequently.org/2020/12/content-visibility-scroll-fix/
+    // https://infrequently.org/2020/12/resize-resilient-deferred-rendering/
+
+    // 备注 目前已知的问题:
+    // 动态修改导致的内容高度变化(例如评论框异步渲染的外部盒子高度变化) 无法提前获知, 进而导致的首次滚动条跳动无法去除 (wontfix) 事实上不使用 content-visibility 也会有跳动, 不过是比使用 content-visibility 跳动提前
+    // scrollreveal 插件潜在问题 目前尚不明确
+
+    let eqIsh = (a, b, fuzz = 2) => {
+      return Math.abs(a - b) <= fuzz;
+    };
+
+    let rectNotEQ = (a, b) => {
+      return !eqIsh(a.width, b.width) || !eqIsh(a.height, b.height);
+    };
+
+    // Keep a map of elements and the dimensions of
+    // their place-holders, re-setting the element's
+    // intrinsic size when we get updated measurements
+    // from observers.
+    let spaced = new WeakMap();
+
+    // Only call this when known cheap, post layout
+    let reserveSpace = (el, rect = el.getClientBoundingRect()) => {
+      let old = spaced.get(el);
+      // Set intrinsic size to prevent jumping on un-painting:
+      //    https://drafts.csswg.org/css-sizing-4/#intrinsic-size-override
+      if (!old || rectNotEQ(old, rect)) {
+        spaced.set(el, rect);
+        el.style["contain-intrinsic-size"] = `${rect.width}px ${rect.height}px`;
+      }
+    };
+
+    let iObs = new IntersectionObserver(
+      (entries, o) => {
+        entries.forEach((entry) => {
+          // We don't care if the element is intersecting or
+          // has been laid out as our page structure ensures
+          // they'll get the right width.
+          reserveSpace(entry.target, entry.boundingClientRect);
+        });
+      },
+      { rootMargin: "500px 0px 500px 0px" }
+    );
+
+    let rObs = new ResizeObserver((entries, o) => {
+      entries.forEach((entry) => {
+        reserveSpace(entry.target, entry.contentRect);
+      });
+    });
+
+    let resizeResilientDeferredRendering = (Selector) => {
+      let articles = document.querySelectorAll(Selector);
+
+      if (articles.length) {
+        articles.forEach((el) => {
+          iObs.observe(el);
+          rObs.observe(el);
+        });
+
+        // Workaround for Chrome bug, part 2.
+        //
+        // Re-enable browser management of rendering for the
+        // first article after the first paint. Double-rAF
+        // to ensure we get called after a layout.
+        requestAnimationFrame(() => {
+          requestAnimationFrame(() => {
+            articles[0].style["content-visibility"] = "auto";
+          });
+        });
+      }
+    };
+
+    let contentVisibilityScrollFix = () => {
+      if (!("content-visibility" in document.documentElement.style)) {
+        return;
+      }
+      resizeResilientDeferredRendering(".post-story");
+    };
+    contentVisibilityScrollFix();
+  } catch (error) {
+    console.log(error);
+  }
+</script>
+
+
+
+<script>
+  document.onreadystatechange = function () {
+    if (document.readyState == 'complete') {
+      // 页面加载完毕 样式加载失败，或是当前网速慢，或是开启了省流模式
+      const { saveData, effectiveType } = navigator.connection || navigator.mozConnection || navigator.webkitConnection || {}
+      if (getComputedStyle(document.querySelector("#safearea"), null)["display"] == "none" || saveData || /2g/.test(effectiveType)) {
+        document.querySelectorAll(".reveal").forEach(function (e) {
+          e.style["opacity"] = "1";
+        });
+        document.querySelector("#safearea").style["display"] = "block";
+      }
+    }
+  }
+</script>
+
+
+  <script type="application/ld+json">[{"@context":"http://schema.org","@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},{"@context":"http://schema.org","@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","sameAs":["https://justpureh2o.github.io/about/"],"description":"JustPureH2O的小窝"},{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://justpureh2o.github.io/","name":"JustPureH2O的博客"}},{"@type":"ListItem","position":3,"item":{"@id":"https://justpureh2o.github.io/thanks/","name":"一命已出，前来还愿"}}]},{"@context":"http://schema.org","@type":"WebSite","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","keywords":["JustPureH2O","JustPureH2O's Blog"],"description":"JustPureH2O的小窝","author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/","description":"JustPureH2O的小窝"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","url":"https://justpureh2o.github.io/","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"potentialAction":{"@type":"SearchAction","name":"Site Search","target":{"@type":"EntryPoint","urlTemplate":"https://justpureh2o.github.io?s={search_term_string}"},"query-input":"required name=search_term_string"}},{"@context":"http://schema.org","@type":"BlogPosting","headline":"一命已出，前来还愿","description":"JustPureH2O的小窝","inLanguage":"en","mainEntityOfPage":{"@type":"WebPage","@id":"https://justpureh2o.github.io/thanks/"},"author":{"@type":"Person","name":"JustPureH2O","image":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png"},"url":"https://justpureh2o.github.io/"},"publisher":{"@type":"Organization","name":"JustPureH2O的博客","logo":{"@type":"ImageObject","url":"https://unpkg.com/volantis-static@0.0.1660614606622/media/org.volantis/blog/favicon/android-chrome-192x192.png","width":192,"height":192}},"url":"https://justpureh2o.github.io/thanks/","wordCount":0,"datePublished":"2023-11-12T09:42:41.000Z","dateModified":"2024-02-16T08:47:56.962Z","keywords":"原神","image":{"@type":"ImageObject","url":"https://pic.imgdb.cn/item/65502d5ec458853aef307016.jpg","width":1024,"height":768}}]</script>
+
+
+
+
+    </div>
+    <!-- import body_end begin-->
+    <!-- import body_end end-->
+    <!-- Custom Files bodyEnd begin-->
+    
+    <!-- Custom Files bodyEnd end-->
+  </body>
+</html>